Prof. Igor V. Andrianov | Selected publications

Igor Andrianov
Selected publications

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Here the list of selected publications is given. It includes some of my Monographs (19 books), some Peer-reviewed Papers (around 250), and Science-popular books and papers in Russian.

Some recent articles can be downloaded immediately as rtf-documents in zip-archives files (enter Get my recent papers now). Would you like to get another ones, please, do not hesitate to contact me: igor_andrianov@hotmail.com

Key words: asymptotic methods, Padé approximants, homogenizatrion, shells, composite materials, nonlinear vibrations.

Mathematics Subject Classification 2020: 01, 34, 35, 37, 40, 41, 74

Profile at ResearchGate: http://www.researchgate.net/profile/Igor_Andrianov

This page was updated: April 2023

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Monographs [Back to top]

  1. Andrianov, I.V., Lesnichaya, V.A., Manevitch, L.I., "Homogenization Methods in Statics and Dynamics of Ribbed Shells", Moscow, Nauka, 1985, 221 p. (in Russian). [download, djvu]
  2. Andrianov, I.V., Lesnichaya, V.A., Loboda, V.V., Manevitch, L.I., "Investigation of Strength of Reinforced Shells of Engineering Structures", Kiev-Donetzk, Visha Shcola, 1986, 104 p. (in Russian).
  3. Andrianov, I.V., Manevitch, L.I., "Asymptotic Methods and Physical Theories", Moscow, Znanie, 1989, (in Russian), ISBN 5-07-000314-3. [download, djvu]
  4. Obraztsov, I.F., Nerubaylo, B.V., Andrianov, I.V., "Asymptotic Methods in the Structural Mechanics of Thin-Walled Structures", Moscow, Mashinostroyenie, 1991, 416 p. (in Russian), ISBN 5-217-010066-5. [download, djvu]
  5. Andrianov, I.V., Manevitch, L.I., "Asymptotology: Ideas, Methods, Results", Moscow, Aslan, 1994, 159 p. (in Russ.), ISBN 5-87793-010-9. [download, pdf]
  6. Awrejcewicz, J., Andrianov, I.V., Manevitch, L.I., "Asymptotic Approaches in the Nonlinear Dynamics: New Trends and Applications", Berlin, Heidelberg, Springer-Verlag, 1998, 310 p., ISBN 3-540-63894-6.
  7. Awrejcewicz, J., Andrianov, I.V., “Asymptotic Methods and their Using in the Theory of Shells”, Warsaw, Science-Technical Book, 2000, 184 p. (in Polish), ISBN 83-204-2626-X.
  8. Awrejcewicz, J., Andrianov, I.V., “Plates and Shells in Nature, Mechanics and Biomechanics”, Warsaw, Science-Technical Book, 2001, 200 p. (in Polish), ISBN 83-204-2708-8.
  9. Manevitch, L.I., Andrianov, I.V., Oshmyan, V.O., “Mechanics of Periodically Heterogeneous Structures”, Berlin, Springer-Verlag, 2002, 264 p., ISBN 3-540-41630-7.
  10. Andrianov, I.V., Manevitch, L.I., with help from M. Hazewinkel, "Asymptotology: Ideas, Methods, and Applications", Dordrecht, Boston, London, Kluwer Academic Publishers, 2002, 252 p., ISBN 1-4020-0960-7.
  11. Andrianov, I.V., Awrejcewicz, J., Manevitch, L.I., "Asymptotical Mechanics of Thin-Walled Structures: A Handbook", Berlin, Heidelberg, Springer-Verlag, 2004, 535 p., ISBN 3-540-40876-2.
  12. Bolshakov V.I., Andrianov I.V., Danishevs’kyy V.V. Asymptotic Methods for Calculation of Composite Materials with Microstructure. Dnipropetrovs’k: Porogi, 2008 (in Russian), ISBN 978-966-525-935-0. [download, djvu]
  13. Andrianov I.V., Danishevs’kyy V.V., Ivankov A.O. Asymptotic Methods in the Theory of Beams and Plates Oscillations. Dnipropetrovs’k: PGASA, 2010 (in Russian). [download, pdf]
  14. Andrianov, I., Awrejcewicz, J., “Methods of Asymptotic Analysis and Synthesis in Nonlinear Dynamics and Mechanics of Solids”, Moscow-Izhevsk, Institute of Computer Researches, 2013, 276 p., ISBN 978-5-4344-0116-6. [download, pdf]
  15. Andrianov, I.V., Awrejcewicz, J., Danishevs’kyy, V.V., Ivankov, A.O., “Asymptotic Methods in the Theory of Plates with Mixed Boundary Conditions”, Wiley, 2014, 272 p., ISBN 978-1-118-72519-1.
  16. Andrianov, I.V., Awrejcewicz, J., Danishevskyy, V.V., “Asymptotical Mechanics of Composites. Modelling Composites without FEM”, Cham, Springer Nature, 2018, 329 p., ISBN 978-3-319-65785-1.
  17. Andrianov I.V., Awrejcewicz J., Danishevskyy V.V. Linear and Nonlinear Waves in Microstructured Solids: Homogenization and Asymptotic Approaches. CRC Press, Taylor & Francis, Boca Raton, 2021. ISBN: [9780367704124] (hbk) ISBN: [9781003146162] (ebk)
  18. Andrianov I., Awrejcewicz J., Starushenko G. Approximate Models of Mechanics of Composites: An Asymptotic Approach. CRC Press, 2003, ISBN-13 9781032488301.
  19. I.V. Andrianov, J. Awrejcewicz, V. Danishevskyy. Linearni in Nelinearni Valovi v Mikrostrukturiranih Trdninah: Homogenizacija in asimptoti%u010Dni pristopi. ISBN 978-961-7097-08-5 COBISS.SI-ID 145099267. Novo mesto, 2023 (in Slovenian).

Brochures, Courses of Lectures  [Back to top]

  1. Andrianov, I.V., Manevitch, L.I., "Asymptotic Methods and Physical Theories", Moscow, Znanie, 1989, 61 p. (in Russ.), ISBN 5-07-000314-3.
  2. Andrianov, I.V., Pasechnik, A.N., "Asymptotic Methods of Solving and Research of Boundary Value Problems for Cylindrical Shells Theory", Dnepropetrovsk, DGU Press, 1996, 196 p. (in Russ.), ISBN 5-86400-313-1.
  3. Andrianov, I.V., Pasechnik, A.N., “Asymptotic Methods of Structural Mechanics in Problems and Examples”, Dnepropetrovsk, Nauka i Obrazovanyje, 1997, 42p. (in Russ.), ISBN 966-7191-13-3.
  4. Andrianov, I.V., Pasechnik, A.N., “Asymptotic Methods of Mathematical Models of Applied Problems Investigations”, Dnepropetrovsk, PBB DNU 2004, 136 p. (in Ukrainian).

Parts of Books

  1. Andrianov, I.V., Ivankov, A.O., "New asymptotic method for solving of mixed boundary value problem", Free Boundary Problems in Continuum Mechanics (Novosibirsk, 1991). International Series of Numerical Mathematics, vol. 106, Birkhäuser, Basel, pp. 39-45 (1992).
  2. Andrianov, I.V., Awrejcewicz, J., “Asymptotic approaches in the theory of shells: long history and new trends”, Shell Structures: Theory and Applications, ed. W. Pietraszkiewicz & C. Szymczak, Taylor & Francis/Balkema, London, pp. 3-10 (2005).
  3. Andrianov, I.V., Awrejcewicz, J., Weichert, D., “Load-transfer from an elastic fibre to isotropic half-space with coating”, Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems. State-of-the-Art, Perspective and Applications. Ed. J. Awrejcewicz. Springer, Berlin, pp. 1-11 (2009).
  4. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “On the optimization problem of an elastic beam support”, Statics, Dynamics and Stability of Structures, vol. 2. Statics, Dynamics and Stability of Structural Elements and Systems, Eds. Kolakowski, Z., Kowal-Michalska, K., Lodz University of Technology, Lodz, ISBN 978-83-7283-499-7, 179-196 (2012).
  5. Andrianov, I., Awrejcewicz, J., Olevs’kyy, V., “Applications of 2D Pade%u0301 Approximants in Nonlinear Shell Theory: Stability Calculation and Experimental Justification", in: Nonlinearity, Bifurcation and Chaos - Theory and Applications, ISBN 978-953-51-0816-0, eds. J. Awrejcewicz, P. Hagedorn, pp. 1-26 (2012).
  6. Andrianov, I.V., Starushenko, G.A., Gabrinets, V.A., “Self-consistent approximation and Padé approximants are used for calculation of percolation threshold for elasticity problem“,Advances in Mechanics of Microstructured Media and Structures, Eds. dell’Isola, F., Eremeyev, V.I., Porubov, A.   Advanced Structured Materials, vol. 87,  Springer, pp. 35-42 (2018).
  7. Igor Andrianov, Vladimir Mityushev, „Exact and ”exact” formulae in the theory of composites“, Modern Problems in Applied Analysis,Dryga%u015B, Piotr, Rogosin, Sergei (Eds.), Birkhäuser, 15-34 (2018).
  8. Andrianov, I.V., Danishevskyy, V.V., Kaplunov, J., Markert, B., “Wide frequency higher-order dynamic model for transient waves in a lattice“, In: Problems of Nonlinear Mechanics and Physics of Materials, Advanced Structured Materials 94, Springer Nature, 2019, Andrianov, I.V., et al. (eds.), pp. 3-12.
  9. Andrianov I.V. Tribute to Professor Wojciech Pietraszkiewicz.  H. Altenbach et al. (eds.), Recent Developments in the Theory of Shells, Advanced Structured Materials 110. Springer Nature Switzerland AG, pp. 1-3, 2019.
  10. Andrianov I., Shatrov A. Padé Approximation to Solve the Problems of Aerodynamics and Heat Transfer in the Boundary Layer. IntechOpen, DOI: 10.5772/intechopen.93084. 2020.
  11. Andrianov I.V. Mathematical models in pure and applied mathematics. In: Abramyan A., Andrianov   I., Gaiko V. (eds.). Nonlinear Dynamics of Discrete and Continuous Systems. Advanced Structured Materials 139, Springer Nature, 2021, pp.15-30.
  12. Andrianov I.V., Khajiyeva L.A. Bolotin’s dynamic edge effect method revisited (Review). Modern Trends in Structural and Solid Mechanics 2. Eds. N. Challamel, J. Kaplunov, I. Takewaki. Wiley, 2021, 1-28.
  13. Mityushev V., Andrianov I., Gluzman S. L.A. Filshtinsky’s contribution to Applied Mathematics and Mechanics of Solids. In: Andrianov I., Gluzman S., Mityushev V. (eds.). Mechanics and Physics of Structured Media Asymptotic and Integral Equations Methods of Leonid Filshtinsky. Academic Press, 2022, 1 – 40.
  14. Andrianov, I., Topol, H. Compatibility conditions: number of independent equations and boundary conditions. In: Andrianov I., Gluzman S., Mityushev V. (eds.). Mechanics and Physics of Structured Media Asymptotic and Integral Equations Methods of Leonid Filshtinsky. Academic Press, 2022, 123 – 140.
  15. Kolpakov A.G., Rakin S.I., Andrianov I.V. The Homogenized Delamination Criterion for Fiber-Reinforced Plate. In: Sixty Shades of Generalized Continua. Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev. H. AltenbachA. BerezovskiF. dell'IsolaA. Porubov, eds. Springer, 2023, 419-432.

Book Editor

  1. Andrianov, I.V., Manevich, A.I., Mikhlin, Yu.V., Gendelman, O.V. (eds.),Problems of Nonlinear Mechanics and Physics of Materials”, Advanced Structured Materials 94, Berlin, Springer Nature, 2019.
  2. Abramyan A., Andrianov   I., Gaiko V. (eds.). Nonlinear Dynamics of Discrete and Continuous Systems. Advanced Structured Materials 139, Springer Nature, 2021.
  3. Andrianov I., Gluzman S., Mityushev V. (eds.). Mechanics and Physics of Structured Media Asymptotic and Integral Equations Methods of Leonid Filshtinsky. Academic Press, 2022.

Peer-reviewed papers  [Back to top]

    1. Andrianov, I.V., Manevitch, L.I., "Classification of approximate equations for discretely stiffened shells", Fluid Dynamics and Theory of Elasticity, No 15, pp. 115-122 (1972) (in Russ.).
    2. Andrianov, I.V., Manevitch, L.I., "Calculations of folded plates", Strength of Materials and Theory of Structures, No 26, pp.11-14 (1975) (in Russ.).
    3. Andrianov, I.V., Manevitch, L.I., "Approximate equations of stability of eccentrically stiffened cylindrical shells", Fluid Dynamics and Theory of Elasticity, No 20, pp.196-205 (1975) (in Russ.).
    4. Andrianov, I.V., Manevitch, L.I., Nalivayko, L.A., "Calculations of circular cylindrical orthotropic plate, reinforced by ribs", Structural Mechanics and Theory of Structures, No 5, pp.19-23 (1975) (in Russ.).
    5. Andrianov, I.V., Manevitch, L.I., "Calculation of the strain-stress state of orthotropic strip, stiffened by ribs", MTT, No 4, pp.135-140 (1975) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 10, No 4, pp. 125-129 (1975)).
    6. Andrianov, I.V., Loboda, V.V., Manevitch, L.I., "Setting of boundary value problems for simplified equations in the theory of eccentrically reinforced cylindrical shells", Applied Mechanics, vol. 11, No 7, pp.50-55 (Engl. cover-to-cover transl.: Soviet Applied Mechanics, vol. 11, No 7, pp.726-730 (1975)).
    7. Andrianov, I.V., Manevitch, L.I., "Investigation of eccentrically stiffened circular cylindrical and conical shells with free in circumferential direction butt-ends stability", Fluid Dynamics and Theory of Elasticity, No 21, pp.139-142 (1976) (in Russ.).
    8. Andrianov, I.V., Manevitch, L.I., Nalivayko, L.A., "Calculation of shell of revolution, reinforced by meridian ribs", Structural Mechanics and Theory of Structures, No 3, pp. 16-20 (1977) (in Russ.).
    9. Andrianov, I.V., Dyskovskiy, A.A.,"Investigation of oval cylindrical shells stability under external pressure", Fluid Dynamics and Theory of Elasticity, No 23, pp. 119-128 (1978) (in Russ.).
    10. Andrianov, I.V., Nalivayko, L.A., "Calculations of ribbed orthotropic strips", Structural Mechanics and Theory of Structures, No 3, pp.18-23 (1978) (in Russ.).
    11. Andrianov, I.V., Manevitch, L.I., Kholod, E.G., "On the nonlinear oscillation of rectangular plates", Structural Mechanics and Theory of Structures, No 5, pp.48-51 (1979) (in Russ.).
    12. Andreev, L.V., Andrianov, I.V., Lebedev, A.G., Kucherenko, V.M., Obodan, N.I., "Non-linear deformation of elliptic cylinders under uniform external pressure", MTT, No 2, pp. 117-122 (1979) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 14, No 2, pp.119-123 (1979)).
    13. Andrianov, I.V., et al., "Investigation of attached plates influence on the foundation vertical oscillations", Izvestya VUSov. Civil Engineering and Architecture, No 6, pp. 13-17 (1980) (in Russ.).
    14. Andrianov, I.V., "Nonlinear oscillations of stringer shells with discrete stiffeners", Fluid Dynamics and Theory of Elasticity, No 28, pp.66-70 (1981) (in Russ.).
    15. Andrianov, I.V., Loboda, V.V., "Influence of ribs width on the stress state of stiffened plates", Fluid Dynamics and Theory of Elasticity, No 28, pp.71-75 (1981) (in Russ.).
    16. Andrianov, I.V., Dyskovskiy, A.A., "Investigation of corrugated plates stress state", Izvestya VUSov. Civil Engineering and Architecture, No 11, pp. 36-41 (1981) (in Russ.).
    17. Andrianov, I.V., Manevitch, L.I., "Approximate equations of axisymmetric vibrations of cylindrical shells", Applied Mechanics, vol. 17, No 8, pp. 25-30 (1981) (Engl. cover-to-cover transl.: Soviet Applied Mechanics, vol. 17, No 8, pp.722-727 (1981)).
    18. Andrianov, I.V., Dyskovskiy, A.A., "Investigation of corrugated plates by homogenization method", Strength of Materials and Theory of Constructions, No 40, pp. 45-53 (1982) (in Russ.).
    19. Andrianov, I.V., et al., "Investigation of foundation with attached plate’s oscillations for various joint", Structural Mechanics and Theory of Structures, No 2, pp. 53-56 (1982) (in Russ.).
    20. Andrianov, I.V., Manevitch, L.I., "Homogenization method in the theory of shells", Advances in Mechanics, vol. 6, No 3/4, pp. 3-29 (1983) (in Russ.).
    21. Andrianov, I.V., Dyskovskiy, A.A., "Strength calculations of circular corrugated plates", Structural Mechanics and Theory of Structures, No 6, pp. 18-22 (1983) (in Russ.).
    22. Andrianov, I.V., Loboda, V.V., "Calculation of cylindrical shells stiffened by rarely disposed stringers", Fluid Dynamics and Theory of Elasticity, No 30, pp.97-103 (1983) (in Russ.).
    23. Andrianov, I.V., "On the theory of Berger plates", PMM, vol. 47, No 1, pp. 179-181 (1983) (Engl. cover-to-cover transl.: PMM, J. Applied Maths Mechs, vol. 47, No 1, pp.142-144 (1983)).
    24. Andrianov, I.V., Kholod, E.G., "Simplified equations of the nonlinear dynamics of smooth shells", Dynamical Systems, No 2, pp. 60-64 (1983) (in Russ.).
    25. Andrianov, I.V., "Buckling of an orthotropic shells of revolution under axial tension", Izvestya VUSov. Civil Engineering and Architecture, No 2, pp. 38-40 (1984) (in Russ.).
    26. Andrianov, I.V., "Calculation of shells with periodic hinges", Izvestya VUSov. Civil Engineering and Architecture, No 5, pp. 37-39 (1984) (in Russ.).
    27. Andrianov, I.V., "Simplified nonlinear equations of shallow shells", Doklady AN Ukr. SSR, ser. A, No 2, pp. 28-29 (1984) (in Russ.).
    28. Andrianov, I.V., Pasechnik, A.N., "Asymptotic analysis of boundary value problem for orthotropic shells of revolution dynamics", Izvestya VUZov. Mechanical Engineering, No 8, pp. 27-32 (1984) (in Russ.).
    29. Andrianov, I.V., "Calculation of plate with the discrete aggregate using the homogenization method", Doklady AN Ukr. SSR, ser. A, No 9, pp. 128-130 (1984) (in Russ.).
    30. Andrianov, I.V., Bulanova, N.S., "Method of perturbation series convergence acceleration", Applied Mechanics, vol. 20, No 5, pp. 119-122 (1984) (in Russ.).
    31. Andrianov, I.V., Koblik, S.G., "Calculation of orthotropic strip with periodically changing boundary conditions", Doklady AN Ukr. SSR, ser. A, No 7, pp.128-30 (1984) (in Russ.).
    32. Andrianov, I.V., "The use of Padé approximation to eliminate nonuniformities of asymptotic expansions", Mechanics of Fluids and Gases, No 3, pp. 166-167 (1984) (Engl. cover-to-cover transl.: Fluid Dynamics, vol. 19, No 3, pp. 484-486 (1984)).
    33. Andrianov, I.V., Kholod, E.G., "Natural nonlinear oscillations of shallow shells", Structural Mechanics and Theory of Structures, No 4, pp. 51-54 (1985) (in Russ.).
    34. Andrianov, I.V., Pasechnik, A.N., "Stability of ribbed cylindrical shells, stiffened by butt-end elastic rings", Fluid Dynamics and Theory of Elasticity, No 33, pp. 60-66 (1985) (in Russ.).
    35. Andrianov, I.V., Pasechnik, A.N., "Composite equations in the theory of shells", Izvestya VUZov. Mechanical Engineering, No 1, pp. 35-38 (1986) (in Russ.).
    36. Andrianov, I.V., Hariton, L.Ye. "Nonlinear oscillations and optimal design of three-layered shallow shells", Fluid Dynamics and Theory of Elasticity, pp.76-81 (1986) (in Russ.).
    37. Andrianov, I.V., Pasechnik, A.N., "Asymptotic analysis of boundary value problems for orthotropic shells of revolution", Problems of Mechanical Engineering, No 25, pp. 18-22 (1986) (in Russ.).
    38. Andrianov, I.V., "Construction of simplified equation of non-linear dynamics of plates and shallow shells by the averaging method", PMM, vol. 50, No 1, pp. 171-175 (1986) (Engl. cover-to-cover transl.: PMM, J. Appl. Math. Mech, vol. 50, No 1, pp. 126-129 (1986)).
    39. Andrianov, I.V., Pasechnik, A.N., "Method of %u0441omposite equations in the theory of cylindrical shells", Doklady AN USSR, vol. 287, No 4, pp. 806-809 (1986) (Engl. cover-to-cover transl.: Soviet Physics-Doklady, vol. 31, pp. 353-354 (1986)).
    40. Andrianov, I.V., "Composite equations of structurally orthotropic cylindrical shells", Journal of Applied Mechanics and Technical Physics, No 3, pp.152-156 (1986) (Engl. cover-to-cover transl.: Journal of Applied Mechanics and Technical Physics, 27, No 3, pp. 468-472 (1986)).
    41. Andrianov, I.V., Ivankov, A.O., "Application of Padé approximants in the method of introducing a parameter in the investigating biharmonic equations with complex boundary conditions", J. Comp. Math. Math. Phys., vol. 27, No 2, pp. 296-301 (1987) (Engl. cover-to-cover transl.:S.S.R. Comp. Math. and Math. Phys., vol. 27, No 1, pp. 193-197 (1987)).
    42. Andrianov, I.V., "Homogenization method for investigation of ring-and ring-and-stringer-stiffened cylindrical shells", Strength of Materials and Theory of Structures, No 50, pp. 93-95 (1987) (in Russ.).
    43. Andrianov, I.V., Sedin, V.L., "Investigation of modern foundation construction", Izvestya VUSov. Civil Engineering and Architecture, No 12, pp. 15-18 (1987) (in Russ.).
    44. Andrianov, I.V., et al., "Geometrical model for definition of three-fold metallurgical systems physic-chemical properties", Izvestya VUSov. Ferrous Metallurgy, No 1, pp. 4-6 (1987) (in Russ.).
    45. Andrianov, I.V., Kholod, E.G., "Approximate nonlinear boundary value problems in the ribbed shells dynamics", Inaxisymmetric Problems of Fluid Dynamics and Theory of Elasticity, pp. 82-93 (1987) (in Russ.).
    46. Andrianov, I.V., Bulanova, N.S., "Using Pade' approximants to estimate the domain of application of small-parameter method", Numerical and Applied Mathematics, No 62, pp. 31-34 (1987) (in Russ.) (Engl. cover-to-cover transl.: J. Soviet Maths, vol. 63, No 5, pp. 532-534 (1993)).
    47. Andrianov, I.V., Kholod, E.G., "Exact solutions of the geometrically nonlinear problems of plates structural mechanics", Structural Mechanics and Theory of Structures, No 3, pp. 38-40 (1987) (in Russ.).
    48. Andrianov, I.V., Pasechnik, A.N., "Composite boundary value problem of the cylindrical shells theory ", Izvestya VUZov. Mechnical Engineering, N 3, pp. 20-24 (1987) (in Russ.).
    49. Andrianov, I.V., Kholod, E.G., "Solution of nonlinear dynamics problems of stiffened constructions with discrete ribs", Doklady AN Ukr. SSR, ser. A, No 6, pp. 20-22 (1987) (in Russ.).
    50. Andrianov, I.V., Starushenko, G.A., "Solution of dynamic problems for perforated structures by the method of averaging ", Dynamical Systems, No 6, pp.72-76 (1987) (in Russ.) (Engl. cover-to-cover transl.: Journal of Soviet Mathematics, vol. 57, No 5, pp. 3410-3412 (1991)).
    51. Andrianov, I.V., Krizhevskiy, G.A., "Oscillation of cylindrical shells with large number of attached masses", Applied Mechanics, vol. 23, No 2, pp. 113-115 (1987) (in Russ.).
    52. Andrianov, I.V., Starushenko, G.A., "The homogenization method for the mechanical problems in multy-connected domain", Problems of Mechanical Engineering, No 27, pp. 148-154 (1987) (in Russ.).
    53. Andrianov, I.V., Ivankov, A.O., Kolesnik, I.A., "Dynamics of plates with mixed boundary conditions", Izvestya VUZov. Mechanical Engineering, No 8, pp. 34-37 (1987) (in Russ.).
    54. Andrianov, I.V., Krizhevskiy, G.A., "Modified asymptotic method for the problems of stiffened constructions dynamics", Structural Mechanics and Theory of Structures, No 2, pp. 66-68 (1987) (in Russ.).
    55. Andrianov, I.V., Kholod, E.G., "Analysis of flexible plates based on the method of averaging", Theoretical and Applied Mechanics, No 19, pp. 124-129 (1988) (Engl. cover-to-cover transl.: Journal of Soviet Mathematics, vol. 57, No 1, pp. 2925-2929 (1991)).
    56. Andrianov, I.V., Krizhevskiy, G.A., "Calculation of skew plate natural oscillation due approximate method", Izvestya VUSov. Civil Engineering and Architecture, No 12, pp. 46-49 (1988) (in Russ.).
    57. Andrianov, I.V., Starushenko, G.A., "Using of homogenization method for investigation of perforated plates oscillations", Dynamical Systems, No 7, pp. 18-23 (1988) (in Russ.) (Engl. cover-to-cover transl.: J. Soviet Maths, vol. 65, No 2, pp. 1503-1507 (1993)).
    58. Andrianov, I.V., Shevchenko, V.V., "Calculation of homogenized parameters in the problem of bending and natural oscillations for periodically perforated plates", Doklady AN Ukr. SSR, ser. A, No 12, pp. 22-26 (1988) (in Russ.).
    59. Andrianov, I.V., Ivankov, A.O., "Solution of mixed boundary value problem for plate bending modified boundary conditions perturbative method ", Doklady AN Ukr. SSR, ser. A, No 1, pp. 33-36 (1988) (in Russ.).
    60. Andrianov I.V., Sedin V.L., "Composition of simplified equations of nonlinear dynamics of plates and shells on the basis of homogenization method", ZAMM, vol. 68, No 7, pp. 573-575 (1988).
    61. Andrianov, I.V., Starushenko, G.A., "Application of the averaging method for the calculation of perforated plates", Applied Mechanics, vol. 24, No 4, pp. 100-104 (1988) (Engl. cover-to-cover transl.: Soviet Applied Mechanics, vol. 24, No 4, pp. 410-415 (1988)).
    62. Andrianov, I.V., Kholod, E.G., "Certain exact solutions in the theory of elastic plates", Journal of Applied Mechanics and Technical Physics, N 2, pp. 131-133 (1989) (Engl. cover-to-cover transl.: Journal of Applied Mechanics and Technical Physics, vol. 29, No 2, pp. 284-286 (1989)).
    63. Andrianov, I.V., "Bound resonance in a cylindrical shell with free ends in the ring direction", Dynamical Systems, No 8, pp. 45-46 (1989) (Engl. cover-to-cover transl.: Journal of Soviet Mathematics, vol. 65, No 3, pp. 1641-1642 (1991)).
    64. Andrianov, I.V., Iskra, V.S., "Acceleration of perturbation series convergence in the optimization problems", Fluid Dynamics and Theory of Elasticity, pp. 49-52 (1989) (in Russ.).
    65. Andrianov, I.V., Krizhevskiy, G.A., "Analytical investigation of geometrically nonlinear oscillation of sector plates, reinforced by radial ribs", Doklady AN Ukr. SSR, ser. A, No 11, pp. 30-33 (1989) (in Russ.).
    66. Andrianov, I.V., Ivankov, A.O., Kurpa, L.V., "Analytical and numerical investigations of plates with mixed boundary conditions stability ", Izvestya VUSov. Civil Engineering and Architecture, No 8, pp. 25-29 (1990) (in Russ.).
    67. Andrianov, I.V., Pasechnik, A.N., "Approximation equations of higher order for investigation of stress-strain state of cylindrical shells", Doklady AN Ukr. SSR, ser. A, No 4, pp. 34-38 (1990) (in Russ.).
    68. Andrianov, I.V., Shapiro, G.D., "Inverse Laplace transform by two-point Pade' approximants method", Problems of Mechanical Engineering, No 34, pp. 58-60 (1990) (in Russ.).
    69. Andrianov, I.V., Verbonol', V.M., "Investigation of stringer shells stability with taking into account of prebuckling state momentness", Advances in Mechanics, vol. 13, No 3/4, pp. 59-88 (1990) (in Russ.).
    70. Andrianov, I.V., Verbonol', V.M., "Investigation of reinforced elements discreteness influence on circular cylindrical shell prebuckling bending", Mechanics of Solids, Erevan, pp. 74-80 (1991) (in Russ.).
    71. Andrianov, I.V., "Continuous approximation of higher-frequency oscillation of a chain", Doklady AN Ukr. SSR, ser. A, No 2, pp. 13-15 (1991) (in Russ.).
    72. Andrianov, I.V., Iskra, V.S., "Using of Bolotin's asymptotic method in the optimal control problem", Problems of Mechanical Engineering, No 36, pp. 79-82 (1991) (in Russ.).
    73. Andrianov, I.V., Yermolinskiy, A.V., Sedin, V.L., "About limiting cases in the theory of ribbed plates", Applied Mechanics, vol. 27, No 7, pp. 120-125 (1991) (in Russ.).
    74. Andrianov, I.V., Krizhevskiy, G.A., "Investigation of natural oscillation of circle and sector plates with consideration of geometrical nonlinearity", MTT, N 2, pp. 149-154 (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 26, No 2, pp. 143-148 (1991)).
    75. Andrianov, I.V., Obraztsov, I.F., Nerubaylo, B.V., "Continual approximation for high-frequency oscillations of a chain and composite equations", Doklady Akademii Nauk USSR, vol. 319, No 1, pp. 111-112 (Engl. cover-to-cover transl.: Dokl. Math., vol. 36, No 7, p. 522 (1991)).
    76. Andrianov, I.V., "Application of Padé-approximants in perturbation methods", Advances in Mechanics, vol. 14, No 2, pp. 3-25 (1991).
    77. Andrianov, I.V., "Laplace transform inverse problem: application of two-point Pade' approximant", Appl. Math. Letters, vol. 5, No 4, pp. 3-5 (1992).
    78. Andrianov, I.V., Manevitch, L.I., "Asymptotology: Problems, ideas and results", J. Natural Geometry, vol. 2, No 2, pp. 137-150 (1992).
    79. Andrianov, I.V., Kirichek, Yu.A., Koblik, S.G., "Approximate analytic solution of the problem on penetration of deepened punch into elastic orthotropic half-plane", Doklady AN Ukr., mathematics, natural sciences, technics, No 8, pp. 42-45 (1992) (in Russ.).
    80. Andrianov, I.V., Pasechnik, A.N., "Justification of composite equations for the investigation of stress-strain state of shell's constructions", Doklady AN Ukr., mathematics, natural sciences, technics, No 3, pp. 53-56 (1993) (in Russ.).
    81. Andrianov, I.V., Kholod, E.G., "New asymptotic method for integration of quantum mechanics equations with strong coupling", Doklady AN Ukr., mathematics, natural sciences, technics, No 4, pp. 64-66 (1993) (in Russ.).
    82. Andrianov, I.V., "Asymptotic solutions for non-linear systems with high degrees of non-linearity", PMM, vol. 57, No 5, pp. 181-184 (1993) (Engl. cover-to-cover transl.: PMM, J. of Appl. Math. Mech., vol. 57, No 5, pp. 941-943 (1993)).
    83. Andrianov, I.V., Kholod, E.G., "Intermediate asymptotical forms in nonlinear dynamics of shells", MTT, No 2, pp. 172 - 177 (1993) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 28, No 2, pp. 160-165 (1993)).
    84. Andrianov, I.V., "A new asymptotic method of integration the equations of quantum mechanics for strong coupling", Doklady RAN, vol. 328, No 5, pp. 557-558 (1993) (Engl. cover-to-cover transl.: Doklady Math., vol. 38, No 2, pp. 56-57 (1993)).
    85. Andrianov, I.V., Pasechnik, A.N., "Asymptotic study of the normal-mode vibrations of a cylindrical shells", Applied Mechanics, vol. 29, No 11, pp. 63-67 (1993) (Engl. cover-to-cover transl.: International Applied Mechanics, vol. 29, No 11, pp. 930-934 (1993)).
    86. Andrianov, I.V., Ivankov, A.O., "On the solution of plate bending mixed problems using modified technique of boundary conditions perturbation", ZAMM, vol. 73, No 2, pp. 120-122 (1993).
    87. Andrianov, I.V., Kholod, E.G., "Non-linear free vibration of shallow cylindrical shell by Bolotin's asymptotic method", J. Sound Vibr., vol. 165, No 1, pp. 9-17 (1993).
    88. Andrianov, I.V., "Simple formula for critical tension of truncated structurally orthotropic shells of revolution", Engineering Transaction, vol. 42, No 1, pp. 117-120 (1993).
    89. Andrianov, I.V., Krizhevsky, G.A., "Free vibration analysis of rectangular plates with structural inhomogeneity", J. Sound Vibr., vol. 162, No 2, pp. 231-241 (1993).
    90. Andrianov, I.V., "Two-point Padé approximants in the Mechanics of Solids", ZAMM, vol.74, No 4, pp. 121-122 (1994).
    91. Tokarzewski, S., Blawzdziewicz, J., Andrianov, I., "Effective conductivity for densely pa%u0441ked highly condensed cylinders", Appl. Physics A, vol. 59, pp. 601-604 (1994).
    92. Andrianov, I.V., Kholod, E.G., Chernetskiy, V.A., "Asymptotic-based method for a plane elasticity mixed eigenvalue problem", J. Theoretical and Applied Mechanics, vol. 3, No 32, pp. 701-709 (1994).
    93. Andrianov, I.V., Gristchak, V.Z., Ivankov, A.O., "New asymptotic method for the natural, free and forced oscillations of rectangular plates with mixed boundary conditions", Technische Mechanik, vol. 14, No 3/4, pp. 185-193 (1994).
    94. Tokarzewski, S., Blawzdziewicz, J., Andrianov, I., "Two-point Pade' approximants for Stieltjes series", Numerical Algorithms, vol. 8, pp. 313-329 (1994).
    95. Andrianov, I.V., "Sequential construction of the asymptotic solution in the essential nonlinear systems", Doklady RAN, vol. 337, No 2, pp. 194-195 (1994) (Engl. cover-to-cover transl.: Physics-Doklady, vol. 39, No 7, pp. 532-533 (1994)).
    96. Andrianov, I.V., Kholod, E.G., "On the Van Dyke problem", Doklady RAN, vol. 344, No 1, pp. 46-47 (1995) (Engl. cover-to-cover transl.: Doklady Math., vol. 40, No 9, pp.473-475 (1995)).
    97. Andrianov, I.V., Konashenko, S.I., Sedin, V.L., "Calculations of the plates with wide rods", Applied Mechanics, vol. 31, No 3, pp. 75-84 (1995) (Engl. cover-to-cover transl.: International Applied Mechanics, vol. 31, No 3, pp. 229-237 (1995)).
    98. Andrianov, I.V., Bulanova, N.S., "Non-quasilinear asymptotics in problem of oscillation of rods and plates on the nonlinear elastic subgrade", Doklady AN Ukr., mathematics, natural sciences, technical sciences, No 9, pp. 28-30 (1995) (in Russ).
    99. Andrianov, I.V., Starushenko G.A., "Asymptotic methods in the theory of perforated membranes of nonhomogeneous structures”, Engineering Transaction, vol. 43, No 1-2, pp. 5-18 (1995).
    100. Andrianov, I.V., Danishevskiy, V.V., "Asymptotic investigation of the nonlinear dynamic boundary value problem for rod", Technische Mechanik, vol. 15, No 1, pp. 53-55 (1995).
    101. Andrianov, I.V., Kholod, E.G., "Bolotin's asymptotic method for nonlinear free vibration of shells", SAMS, vol. 18-19, pp. 211-213 (1995).
    102. Andrianov, I.V., Shevchenko, V.V., Kholod, E.G., "Asymptotic methods in the statics and dynamics of perforated plates and shells with periodic structures", Technische Mechanik, vol. 15, No 12, pp. 141-157 (1995).
    103. Andrianov, I.V., Sazonetz, O.N., "Asymptotic method of investigation of the continuous system with nonlinear boundary conditions oscillations", Applied Problems of Strengths and Plasticity, No 52, pp. 31-37, Moscow (1996) (in Russ.).
    104. Obraztsov, I.F., Nerubaylo, B.V., Andrianov, I.V., "Methods of matching of limiting asymptotics", Ibid, pp. 3-11 (1995) (in Russ.).
    105. Andrianov, I.V., Kholod, E.G., Olevsky, V.I., "Approximate non-linear boundary value problems of reinforced shell dynamics", J. Sound Vibr., vol. 194, No 3, pp. 369 - 387 (1996).
    106. Andrianov, I., Danishevs’kyy, V., Tokarzewski, S., "Two-point quasifractional approximants for effective conductivity of a simple cubic lattice of spheres", Int. J. Heat Mass Transfer, vol. 39, No 11, pp. 2349-2352 (1996).
    107. Andrianov, I.V., Linnik, R.Ya., "New asymptotic method for calculation of reinforced construction with width of ribs taking into account", Doklady AN Ukr., mathematics, natural sciences, technics, No 1, pp. 33-34 (1996) (in Russ).
    108. Andrianov, I.V., Kholod, E.G., Selyanskiy, V.K., "Torsional regidity of ribs for a reinforced structure", Applied Mechanics, vol. 32, No 3, pp. 57-61 (1996) (Engl. cover-to-cover transl.: International Applied Mechanics, vol. 32, No 3, pp. 206-209 (1996)).
    109. Andrianov, I., Bulanova, N., Lagoshny, A., "Asymptotic and Padé approximants methods in the theory of reinforced plates and shells", Technische Mechanik, vol. 17, No 3, pp. 193-196 (1997).
    110. Emachi, E., Vakakis, A.F., Andrianov, I.V., Mikhlin, Yu. V., "Study of two-dimensional axisymmetric breathers using Padé approximants", Nonlinear Dynamics, vol. 13, pp. 327-338 (1997).
    111. Tokarzewski, S., Galka, A., Andrianov, I.V., "Bounds on the effective transport coefficients of two-phase media from discrete theoretical and experimental data", Computer Assisted Mech. Engn. Sciences, vol. 4, pp. 229-241 (1997).
    112. Andrianov, I.V., Diskovskiy, A.A., "Homogenization and perturbation procedure in the theory of ring-stiffened shells", Technische Mechanik, vol 17, No 1, pp. 67-71 (1997).
    113. Andrianov, I., Tokarzewski, S., Mikhlin, Yu., "Two-point Padé approximants and their applications to solving mechanical problems", J. Theoretical and Applied Mechanics, vol. 35, No 3, pp. 577-606 (1997).
    114. Andrianov, I.V., Piskunov, V.I., "An asymptotic investigation of the dynanics of eccentrically reinforced plates," PMM, vol 61, No 2, pp. 341-344 (1997) (Engl. cover-to-cover transl.: PMM, J. Appl. Math. Mech. vol. 61, No 2, pp. 329-331 (1997)).
    115. Andrianov, I.V., "A new asymptotic method for computing reinforced constructions taking into account the discreteness of the distributed rods and their width," Doklady RAN, vol. 352, No 4, pp. 474-476 (1997) (Engl. cover-to-cover transl.: Doklady Math., vol. 42, No 2, pp. 84-86 (1997
    116. Andrianov, I.V., Piskunov, V.I., "Stability of ribbed plates with allowance for the discrete arrangement", MTT, No 6, pp. 160-167 (1997) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 32, No 6, pp.135-141 (1997)).
    117. Andrianov, I.V., Olevsky, V.I., Tokarzewski, S., "A modified Adomian's decompositions method", PMM, vol. 62, No 2, pp. 334-339 (1998) (Engl. cover-to-cover transl.: PMM, J. Appl. Math. Mech., vol. 62, No 2, pp. 309-314 (1998)).
    118. Andrianov, I., Starushenko, G., Tokarzewski, S., "Homogenization procedure and Padé approximation in the theory of composite materials", Int. J. Heat Mass Transfer, vol. 41, No 1, pp. 175-181 (1998).
    119. Andrianov, I.V., Diskovskiy, A.A., Kholod, E.G., "Homogenization method in the theory of corrugated plates", Technische Mechanik, vol. 18, No 2, pp. 123-133 (1998).
    120. Andrianov, I.V., "About passage to the limit from quantum mechanics to the classical one", Doklady AN Ukr., mathematics, natural sciences, technics, No 7, pp. 56-57 (1998) (in Russ.).
    121. Andrianov, I.V., Dem'yanenko, V.V., Sedin, V.L., Dem'yanenko, Ya.L., "Analytical calculation of frequencies spectrum of walled foundations natural oscillations ", Izv. VUZov. Stroitel'stvo, No 2, pp. 26-32 (1998) (in Russ.)
    122. Andrianov, I., Starushenko, G., Tokarzewski, S., "Torsion of a non-homogeneous bar with periodic parallelepiped inclusions: analytical expressions for effective shear modulus", Technische Mechanik, vol. 19, No 1, pp. 5-12 (1999).
    123. Andrianov, I.V., Mikolenko, V.A., Kholod E.G., "Nonlinear dynamics of a plane fibrous composite taking into account the width of the fiber", MTT, No 2, pp. 85-90 (1999) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 34, No 2, pp. 71-75 (1999)).
    124. Andrianov, I.V., Starushenko, G.A., "Using of three-phase model for effective characteristics of composites with arbitrary periodic cubic inclusions calculation", Doklady AN Ukr., mathematics, natural sciences, technics, No 1, pp. 52-56 (1999) (in Russ.).
    125. Andrianov, I.V., "Problem of the theory of elasticity in stresses: what is the order of the system?", Ibid, No 7, pp. 46-48.
    126. Andrianov, I.V., Starushenko, G.A., Danishevskiy, V.V., Tokarzewski, S., "Homogenization procedure and Padé approximants for effective heat conductivity of composite material with cylindrical inclusions having square cross-section", Proc. Royal Society London A, vol. 455, pp. 3401-3413 (1999).
    127. Andrianov, I.V., Bulanova, N.S., Sedin, V.L., "Vibration of ribbed plates on elastic basis", Applied Mechanics, vol. 35, N1, pp. 69-73 (1999) (Engl. cover-to-cover transl.: International Applied Mechanics, vol. 35, No 1, pp. 64-68 (1999)).
    128. Andrianov, I.V., Starushenko, G.A., Danishevskiy, V.V., "Asymptotic determination of effective thermal conductivity of pile media", Soil Mechanics and Found. Engn., No 1, pp. 26-29 (1999) (Engl. cover-to-cover transl.: Soil Mech. and Foundation Engineering, vol. 36, No 1, pp. 31-36 (1999)).
    129. Andrianov, I.V., Dem'yanenko, V.V., Sedin, V.L., "Calculation of walled-type foundation forced oscillations due analytical method ", Jzv. Stroitel'stvo, No 2-3, pp. 25-31 (1999) (in Russ.).
    130. Andrianov, I.V., Sazonetz, O.N., "Axially symmetric oscillations of cylindrical shells with nonlinear boundary conditions", Applied Problems of Strength and Plasticity, Moscow, KMK, pp. 55-60 (1999) (in Russ.).
    131. Salenger, G., Vakakis, A.F., Gendelman, O., Manevitch, L., Andrianov, I., "Transition from strongly to weakly nonlinear motions of damped nonlinear oscillator", Nonlinear Dynamics, vol. 20, pp. 99-114 (1999).
    132. Andrianov, I., Danishevs’kyy, V., Tokarzewski S., " Quasifractional approximants for effective conductivity of regular arrays of spheres”, Archives of Mechanics, vol. 52, No 2, pp. 319-327 (2000).
    133. Andrianov, I.V., Awrejcewicz, J., “Methods of small and large delta in the Nonlinear Mechanics – a comparative analysis”, Nonlinear Dynamics, vol. 23, pp. 57-66 (2000).
    134. Andrianov, I.V., Awrejcewicz, J., “A role of initial conditions choice on the results obtained using different perturbation methods”, J. Sound Vibr., vol. 236, No 1, pp. 161-165 (2000).
    135. Andrianov, I.V., Awrejcewicz, J., “Asymptotics for strongly nonlinear systems”, ZAMM, vol. 80, pp. 265-266 (2000).
    136. Andrianov, I., Danishevs’kyy, V., Tokarzewski S., " Quasifractional approximants in the theory of composite materials”, Acta Applicandae Mathematicae, vol. 61, pp. 29-35 (2000).
    137. Andrianov, I., Danishevs’kyy, V., Tokarzewski, S., “An asymptotic method for effective properties of visco-elastic composite materials”, ZAMM, vol.80, pp. 371-372 (2000).
    138. Andrianov, I.V., Danishevs’kyy, V.V., Starushenko, G.A., Tokarzewski, S., “Asymptotic representation for the effective heat conductivity of a composite material with fibrous diamond-shaped inclusions”, MTT, No 4, pp. 87-98 (2000) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 35, No 4, pp. 73-82 (2000)).
    139. Andrianov, I., Galka, A., Tokarzewski, S., “Asymptotic study of geometrically non-linear elastic strip with regular system of fibres”, Eur. J. Mech. A/Solids, vol. 19, No 4, pp. 689-698 (2000).
    140. Andrianov, I.V., Bulanova, N.S., Pasechnik, A.N., “Method of composite equations in the asymptotic static theory of isotropic cylindrical shells”, Problems of Strength and Plasticity, Nishny Novgorod, NN University Press, pp. 200-210 (2000) (in Russ.).
    141. Andrianov, I.V., Awrejcewicz, J., “Construction of periodic solutions to partial differential equations with non-linear boundary conditions”, Int. J. Nonlinear Sciences & Numerical Simulation, vol. 1, No 4, pp. 237-332 (2000).
    142. Andrianov, I.V., Ismagulov, B.G., Matyash, M.V., “Buckling of cylindrical shells of variable thickness, loaded by external uniform pressure”, Technische Mechanik, vol. 20, No 41, pp. 349-354 (2000).
    143. Andrianov, I.V., Awrejcewicz, J., Matyash, M.V., "On application of a perturbation method with a few perturbation parameters", Machine Dynamics Problems, vol. 24, No 3, pp. 5-10 (2000).
    144. Andrianov, I., Tokarzewski, S., “Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites”, Int. J. Non-Linear Mechs, vol. 36, No 1, pp. 187-195 (2001).
    145. Andrianov, I.V., Awrejcewicz, J., “Iterative determination of homoclinic orbit parameters and Padé approximants”, J. Sound Vibr., vol. 240, No 2, pp. 394-397 (2001).
    146. Andrianov, I.V., Awrejcewicz, J., “Solutions in the Fourier series form, Gibbs phenomena and Padé approximants”, J. Sound Vibr., vol. 245, No 4, pp. 753-756 (2001).
    147. Andrianov, I.V., Awrejcewicz, J., "New trends in asymptotic approaches: summation and interpolation methods", Appl. Mech. Rev., vol.54, No 1, pp.69-92 (2001).
    148. Andrianov, I.V., Zarubinskaya, M.A., Pasechnik, A.N., "An asymptotic analysis of the stress-strain state of a strip reinforced with ribs", PMM, vol. 65, No 1, pp. 123-128 (2001) (Engl. cover-to-cover transl.: PMM, J. Appl. Math. Mech., vol. 65, No 1, pp. 119-124 (2001)).
    149. Andrianov, I.V., Awrejcewicz, J., “Asymptotic approaches to simplified boundary value problems of non-linear dynamics”, Nonlinear Analysis, vol. 47, pp.2261-2269 (2001).
    150. Tokarzewski, S., Andrianov, I., Danishevsky, V., Starushenko, G., “Analytical continuation of asymptotic expansions of effective transport coefficients by Padé approximants”, Nonlinear Analysis, vol. 47, pp.2283-2292 (2001).
    151. Andrianov, I.V., Danishevs’kyy, V.V., Tokarzewski, S., “Quasifractional approximants in Nonlinear Physical Problems”, Int. J. of Nonlinear Modelling in Science and Engineering, No 1, pp. 51-58 (2001).
    152. Andrianov, I.V., Samoilenko, O.G., “On the Ishlinskii-Leibenzon method in the theory of elastic stability”, MTT, No 6, pp.132-139 (2001) (Engl. cover-to-cover transl.: Mechanics of Solids, vol. 36, No 6, pp.113-119 (2001)).
    153. Andrianov, I.V., Zarubinskaya, M.A., Kirichek, Yu.A., “Solution of equilibrium problem for plate with alternating ring”, Applied Mechanics, vol. 37, No 11, pp. 113-117 (2001) (Engl. cover-to-cover transl.: International Applied Mechanics, vol. 37, No 11, pp. 1480-1486 (2001)).
    154. Andrianov, I.V., “The special feature of limiting transition from a discrete elastic media to a continuous one”, PMM, vol. 66, No 2, pp.271-275 (2002) (Engl. cover-to-cover transl.: PMM, J. Appl. Math. Mech., vol. 66, No 2, pp. 261-265 (2002)).
    155. Andrianov, I.V., Danishevs’kyy, V.V., “Asymptotic approach for non-linear periodical vibrations of continuous structures”, J. Sound Vibr., vol. 249, No 3, pp. 465-481 (2002).
    156. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Asymptotic analysis of effective conductivity of composite materials with large rhombic fibres”, Composite Structures, vol. 56, No 3, pp. 229-234 (2002).
    157. Andrianov, I.V., Awrejcewicz, J., “Oscillations of non-linear systems with restoring force close to sign(x)”, J. Sound Vibr., vol. 252, No 5, pp. 962-966 (2002).
    158. Andrianov, I.V., "Asymptotics of nonlinear dynamical systems with high degree of nonlinearity", Doklady RAN, vol.386, No 2, pp. 165-168 (2002) (Engl. cover-to-cover transl.: Doklady Mathematics, vol. 66, No 2, pp. 270-273 (2002)).
    159. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions”, European J. Mech. A/Solids, vol. 21, No 6, pp. 1019-1036 (2002).
    160. Andrianov, I.V., Awrejcewicz, J., "Averaging in theory of waffle plates and shells", Machine Dynamics Problems, vol. 26, No 1, pp. 5-10 (2002).
    161. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Asymptotic evaluation of effective complex moduli of fibre-reinforced viscoelastic composite materials”; PAMM (Proc. Appl. Math. Mech.), vol. 2, pp. 154-155 (2003).
    162. Andrianov, I.V., Awrejcewicz, J., “Analysis of jump phenomena using Padé approximations”, J. Sound Vibr., vol. 260, No 3, pp. 577-588 (2003).
    163. Andrianov, I.V., Awrejcewicz, J., Barantsev, R.G., "Asymptotic approaches in mechanics: new parameters and procedures", Appl. Mech. Rev., vol. 56, No 1, pp. 87-110 (2003).
    164. Andrianov, I.V., Awrejcewicz, J., “Simplified formula for vibration frequency of circular cylinders”, J. Sound Vibr., vol. 262, No 1, pp. 198-200 (2003).
    165. Andrianov, I.V., Awrejcewicz, J., “Homogenization of a waffle membrane”, J. Sound Vibr., vol. 264, No 3, pp. 746-750 (2003).
    166. Andrianov, I.V., Awrejcewicz, J., “On the average continuous representation of an elastic discrete medium”, J. Sound Vibr., vol. 264, No 5, pp. 1187-1194 (2003).
    167. Andrianov, I.V., Awrejcewicz, J., “Compatibility equations in the theory of elasticity”, Trans. ASME J. Vibr. Acoustics, vol. 125, No 2, pp. 244-245 (2003).
    168. Andrianov, I.V., Awrejcewicz, J., “Dynamics of folded shells”, J. Sound Vibr., vol. 265, No 3, pp. 689-692 (2003).
    169. Andrianov, I.V., Awrejcewicz, J., “Asymptotic approaches to strongly non-linear dynamical systems”, System Analysis and Model Simulations, vol. 43, No 3, pp. 255-268 (2003).
    170. Andrianov, I.V., Awrejcewicz, J., “Asymptotic behaviour of a system with damping and higher power-form non-linearity”, J. Sound Vibr., vol. 267, No 5, pp. 1169-1174 (2003).
    171. Andrianov, I.V., Awrejcewicz, J., "Quasi-fractional approximation of solution to non-autonomous Duffing’s equartion”, Machine Dynamics Problems, vol. 27, No 1, pp. 15-20 (2003).
    172. Andrianov, I.V., Awrejcewicz, J., "Quasifractional approximants for matching small and large delta approach”, Phys. Lett. A, vol. 319, No 1-2, pp. 53-59 (2003).
    173. Andrianov, I.V., Awrejcewicz, J., “Theory of plates and shells: new trends and applications”, International Journal of Nonlinear Sciences and Numerical Simulations, vol. 5, No 1, pp.23-36 (2004).
    174. Andrianov, I.V., Awrejcewicz, J., “Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends”, Acta Mechanica, vol. 173, pp. 41-47 (2004).
    175. Shamrovskyy, A.D., Andrianov, I.V., Awrejcewicz, J., “Asymptotic-group analysis of algebraic equations”, Mathematical Problems in Engineering, No 5, pp. 411-451 (2004).
    176. Andrianov, I.V., Awrejcewicz, J., Danishevs’kyy, V.V., “An artificial small perturbation parameter and nonlinear plate vibrations”, J. Sound Vibr., vol. 283, No 3-5, pp. 561-571 (2005).
    177. Andrianov, I.V., Danishevs’kyy, V.V., Guillet, A., Pareige, Ph., “Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear”, European J. Mech. A/Solids, vol. 24, No 2, pp. 195-206 (2005).
    178. Andrianov, I.V., Awrejcewicz, J., “Continuous models for chain of inertially linked masses”, European J. Mech. A/Solids, vol. 24, No 3, pp. 532-536 (2005).
    179. Andrianov, I.V., Awrejcewicz, J., “Continuous models for 1D discrete media valid for higher-frequency domain”, Physics Letters A, vol. 345, No 1-3, pp. 55-62 (2005).
    180. Andrianov, I., Awrejcewicz, J., Ivankov, A., “Artificial small parameter method – solving of mixed boundary value problems”, Mathematical Problems in Engineering, No 3, pp. 325-340 (2005).
    181. Andrianov, I.V., Awrejcewicz, J., “Applicability of the Kirchhoff approach to the theory of vibrations of rods”, J. Sound Vibr., vol. 288, pp. 395-398 (2005).
    182. Andrianov, I.V., Awrejcewicz, J., “Dynamics of a string movement with time-variable speed”, J. Sound Vibr., vol. 292, No 3-5, pp. 935-940 (2006).
    183. Andrianov, I.V., Horssen, W.T. van, “Analytical approximations of the period of a generalized nonlinear van der Pol oscillator”, J. Sound Vibr., vol. 295, No 3-5, pp. 1099-1104 (2006).
    184. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Homogenization of quasi-periodic structures”, Trans. ASME J. Vibr. Acoustics, vol. 128, No 4, pp. 532-534 (2006).
    185. Andrianov, I.V., Verbonol, V.M., Awrejcewicz, J., “Buckling analysis of discretely stringer-stiffened cylindrical shells”, Int. J. Mech. Sciences, vol. 48, pp. 1505-1515 (2006).
    186. Andrianov, I.V., Awrejcewicz, J., “On the improved Kirchhoff equation modelling nonlinear vibrations of beams”, Acta Mechanica, vol. 186, No 1-4, pp. 135-139 (2006).
    187. Andrianov, I.V., Awrejcewicz, J., Chernetskyy, V., “Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach“, Mathematical Problems in Engineering, article ID 20598, 8 p. (2006).
    188. Andrianov, I.V., Awrejcewicz, J., Ivankov, O., “On an elastic dissipation model as continuous approximation for discrete media“, Mathematical Problems in Engineering, article ID 27373, 8 p. (2006).
    189. Andrianov, I.V., Awrejcewicz, J., Pasichnik, I.V., “Dynamics of a reinforced viscoelastic plate“, Mathematical Problems in Engineering,
      article ID 89675, 8 p. (2006).
    190. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Asymptotic justification of the three-phase composite model”, Composite Structures, vol. 77, No 3, pp. 395-404 (2007).
    191. Andrianov, I.V., Awrejcewicz, J., Kirichek, Yu.A., Koblik, S.G., “Asymptotic study of elastic half-plane with embedded punch”, J. Theoretical & Applied Mechanics, vol. 45, No 1, pp. 5-14 (2007).
    192. Andrianov, I.V., Danishevs’kyy, V.V., “Load-transfer to an orthotropic fibre-reinforced composite strip via an elastic element”, Technische Mechanik, vol. 27, No 1, pp. 28-36 (2007).
    193. Andrianov, I.V., Bolshakov, V.I., Danishevs’kyy, V.V., Weichert, D., “Asymptotic simulation of imperfect bonding in periodic fibre-reinforced composite materials under axial shear”, International Journal of Mechanical Sciences, vol. 49, No 3, pp. 1344-1354 (2007).
    194. Andrianov, I.V., Bolshakov, V.I., Danishevs’kyy, V.V., Weichert, D., Study of wave dispersion in periodic composites by higher-order asymptotic homogenization method”, PAMM (Proc. Appl. Math. Mech.), vol. 7, issue 1, December 2007, pp. 1090403-1090404.
    195. Andrianov, I.V., Awrejcewicz, J., “Asymptotic solution of the theory of shells boundary value problem“, Mathematical Problems in Engineering,
      article ID 82348, 25 p. (2007).
    196. Andrianov, I.V., Awrejcewicz, J., “Love and Rayleigh correction terms and Padé approximants“, Mathematical Problems in Engineering, article ID 94035, 8 p. (2007).
    197. Andrianov, I.V., Awrejcewicz, J., “Continuous models for 2D discrete media valid for higher frequency domain”, Computers and Structures, vol. 86, pp. 140-144 (2008).
    198. Andrianov, I.V., “Asymptotic construction of nonlinear normal modes for continuous systems ", Nonlinear Dynamics, vol. 51, No ½, pp. 99-109 (2008).
    199. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Analytical study of the load transfer in fibre-reinforced 2D composite materials”, International Journal of Solids and Structures, 45, pp. 1217 – 1243 (2008).
    200. Andrianov, I.V., Argatov, I.I., Weichert, D., “On the absence of the Eshelby property for slender non-ellipsoidal inhomogeneities”, Proceedings of the Royal Society A, vol. 464, pp. 1079-1088 (2008).
    201. Andrianov, I.V., Bolshakov, V.I., Danishevs’kyy, V.V., Weichert, D., “Higher order asymptotic homogenization and wave propagation in periodic composite structures”, Proceedings of the Royal Society A, vol. 464, pp. 1181-1201(2008).
    202. Andrianov, I.V., Horssen, W.T. van, “On the transversal vibrations of a conveyor belt: Applicability of simplified models”, J. Sound Vibr., vol. 313, pp. 822-829 (2008).
    203. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Micromechanical analysis of fibre-reinforced composites on account of influence of fibre coating”, Composites: Part B Engineering, vol. 39, pp. 874-881 (2008).
    204. Andrianov, I.V., Awrejcewicz, J., “Homogenization of rods and plates with weakenings”, Mechanics Research Communications, vol. 35, pp. 372-378 (2008).
    205. Andrianov, I.V., Starushenko, G.A., “Asymptotic analysis of strongly anisotropic solids”, Technische Mechanik, vol. 28, No 2, pp. 121-125 (2008).
    206. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Load-transfer from fibre to anisotropic half-space for dilute composites”, Acta Mechanica, vol. 200, pp. 69-78 (2008).
    207. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Simple estimations on effective transport properties of a random composite material with cylindrical fibres”, ZAMP, vol. 59, No 5, pp. 889-903 (2008).
    208. Kalamkarov, A.L., Andrianov, I.V., Danishevs’kyy, V.V., "Asymptotic homogenization of composite materials and structures”, Appl. Rev., vol. 62, No 3, pp. 030802-1 - 030802-20 (2009).
    209. Andrianov, I.V., Topol, H., Weichert, D., “Load transfer in fibre-reinforced composites with viscoelastic matrix: an analytical study”, Archive of Applied Mechanics, vol. 79, No 11, pp. 999-1007 (2009).
    210. Andrianov, I., “Asymptotic and numerical modelling of composite materials”, Numerical Analysis and Applied Mathematics, Int. Conf. on NAAM 2009, Rethymno, Creta, Greece, 18-22 September 2009, eds. Th. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1168, vol. 2, pp. 842-843 (2009).
    211. Andrianov, I.V, Danishevs’kyy, V.V., Topol, H., Weichert, D., “Shear wave dispersion in viscoelastic composite with elastic parallelepiped inclusions”, Numerical Analysis and Applied Mathematics, Int. Conf. on NAAM 2009, Rethymno, Creta, Greece, 18-22 September 2009, eds. Th. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1168, vol. 2, pp.848-851 (2009).
    212. Andrianov, I.V, Danishevs’kyy, V.V., Weichert, D., “Boundary layers in fibre composite materials”, Numerical Analysis and Applied Mathematics, Int. Conf. on NAAM 2009, Rethymno, Creta, Greece, 18-22 September 2009, eds. Th. E. Simos, G. Psihoyios, Ch. Tsitouras, AIP Conference Proceedings 1168, vol. 2, pp.852-854 (2009).
    213. Andrianov, I.V., Awrejcewicz, J., Weichert, D., “Improved continuous models for discrete media”, Mathematical Problems in Engineering, article ID 986242, 35 p. (2010).
    214. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Load-transfer from fibres to transversally isotropic layer for non-dilute composites”, Acta Mechanica, vol. 212, pp. 115-122 (2010).
    215. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Analysis of the effective conductivity of composite materials in the entire range of volume fractions of inclusions up to the percolation threshold”. Composites: Part B Engineering, vol. 41, pp. 503-507 (2010).
    216. Andrianov, I.V., Bolshakov, V.I., Danishevs’kyy, V.V., Weichert, D., “Asymptotic study of imperfect interfaces in conduction through a granular composite material”, Proceedings of the Royal Society A, 466, pp. 2707-2725 (2010).
    217. Andrianov, I., “Asymptotic and numerical modelling of composite materials”, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 819-820 (2010).
    218. Andrianov, I.V., Danishevs’kyy, V.V., Topol, H., Weichert, D., “ Nonlinear dynamic properties of layered composite materials“, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 821-824 (2010).
    219. Andrianov, I.V., Danishevs’kyy, V.V., Topol, H., Weichert, D., “Approximate approach for nonlinear deformation and failure of fibre composites“, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 825-828 (2010).
    220. Andrianov, I.V., Danishevs’kyy, V.V., Kirichek, O.U., “Effective properties of viscoelastic fibre composites“, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 829-832 (2010).
    221. Andrianov, I.V., Awrejcewicz, J., “Applicability of a classical perturbation technique for perturbation parameters with large values“, Int. J. Acoustics & Vibration, vol. 15, No 3, pp. 140-141 (2010).
    222. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Continuous model of 2D discrete media based on composite equations, Acoustical Physics, vol. 56, No 6, pp. 807–810 (2010).
    223. Andrianov, I.V., Kalamkarov, A.L., Weichert, D., “Analytical modeling of fibrous composites with free edges”, Journal of Composite Materials, vol. 45, No 18, pp. 1837–1848 (2011).
    224. Andrianov, I.V., Awrejcewicz, J., Danishevs’kyy, V.V., Weichert, D., “Wave propagation in periodic composites: higher-order asymptotic analysis versus plane-wave expansions method“, Journal of Computational and Nonlinear Dynamics, vol. 6, No 1, pp. 011015-1-011015-8 (2011).
    225. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Boundary layers in fibrous composite materials”, Acta Mechanica, vol. 216, pp. 3-15 (2011).
    226. Andrianov, I.V., Starushenko, G.A., Weichert, D., “Asymptotic analysis of thin interface in composite materials”, Technische Mechanik, vol. 31, No 1, pp. 33-41 (2011).
    227. Andrianov, I.V., Kirichek, Yu.A., Awrejcewicz, J., “Modified Muravskii model for elastic foundations”, Acta Mechanica Sinica, vol. 27, No1, pp. 68-71 (2011).
    228. Andrianov, I.V., Awrejcewicz, J., Weichert, D., “Analytical study of the interface in fibre-reinforced 2D composite material”, Acta Mechanica Sinica, vol. 27, No1, pp. 90-97 (2011).
    229. Andrianov, I.V., Danishevs’kyy, V.V., Topol, H., Weichert, D., “Homogenization of a 1D nonlinear dynamical problem for periodic composites”, ZAMM Z. Angew. Math. Mech., vol. 91, No. 6, pp. 523 – 534 (2011).
    230. Andrianov, I., “Symposium on nonlinear waves in heterogeneous media”, AIP CP1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 437 (2011).
    231. Andrianov, I., Danishevs’kyy, V., Weichert, D., Topol, H., “Nonlinear elastic waves in a 1D layered composite material: some numerical results“, AIP CP1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 438-441 (2011).
    232. Andrianov, I., Bolshakov, V., Kirichek, Yu., Topol, H., “Periodical solutions of certain strongly nonlinear wave equations”, AIP CP1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 442-445 (2011).
    233. Andrianov, I., Danishevs’kyy, V., Ryzhkov, O., Stoffel, M., “Shear waves dispersion in cylindrically structured cancellous viscoelastic bones”, AIP CP1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 446-450 (2011).
    234. Andrianov, I.V., Awrejcewicz, J., Diskovsky A.A., “Optimal design of ring-stiffened cylindrical shells using homogenization approach”, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 225, No 10, pp.2457-2463 (2011).
    235. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D.,”Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement”, Archive of Applied Mechanics, vol. 81, pp. 1903-1913 (2011).
    236. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Asymptotic analysis of perforated plates and membranes. Part 1: Static problems for small holes”, International Journal of Solids and Structures, vol. 49, pp. 298–310 (2012).
    237. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Asymptotic analysis of perforated plates and membranes. Part 2: Static and dynamic problems for large holes”, International Journal of Solids and Structures, vol. 49, pp. 311–317 (2012).
    238. Kalamkarov, A.L., Andrianov, I.V., Weichert, D., “Asymptotic analysis of perforated shallow shells”, International Journal of Engineering Science, vol. 53, pp. 1–18 (2012).
    239. Andrianov, V., Kholod, E.G., Weichert, D., “Application of quasi-continuum models for perturbation analysis of discrete kinks”, Nonlinear Dynamics, vol. 68, No 1-2, pp. 1-5 (2012).
    240. Andrianov, I.V., Kalamkarov, A.L., Weichert, D., “Buckling of fibers in fiber-reinforced composites”, Composites: Part B Engineering, vol. 44, pp. 2058-2062 (2012).
    241. Andrianov, V., Danishevs’kyy, V.V., Kholod, E.G., “Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section”, Acta Mechani%u0441a, vol. 223, pp. 1093-1100 (2012).
    242. Porubov, A.V., Andrianov, I.V., Danishevs’kyy, V.V., “Nonlinear strain wave localization in periodic composites”, International Journal of Solids and Structures, vol. 49, pp. 3381–3387 (2012).
    243. Andrianov, V., Starushenko, G.A., Weichert, D., “Numerical investigation of 1D continuum dynamical models of discrete chain”, ZAMM · Z. Angew. Math. Mech., vol. 92, No 11 – 12, pp. 945 – 954 (2012).
    244. Andrianov, I.V., Kalamkarov, A.L., Starushenko, A., “Three-phase model for a fiber-reinforced composite material”, Composite Structures, vol. 95, pp. 95–104 (2013).
    245. Andrianov, I.V., Awrejcewicz, J., Diskovsky A.A., “Sensitivity analysis in design of constructions made of functionally graded materials”, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 227, No 1, pp. 19-28 (2013).
    246. Andrianov, I.V., Awrejcewicz, J., Starushenko, A., “Application of an improved three-phase model to calculate effective characteristics for a composite with cylindrical inclusions”, Latin American Journal of Solids and Structures, vol. 10, No 1, pp. 195-220 (2013).
    247. Syerko, E., Diskovsky, A.A., Andrianov, I.V., Comas-Cardona, S., Binetruy, Ch., “Corrugated beams mechanical behavior modeling by the homogenization method“, International Journal of Solids and Structures, vol. 50, No 6, pp. 928-936 (2013).
    248. Andrianov, I., Danishevs’kyy, V., Ryzhkov, O., Weichert, D., “Dynamic homogenization and wave propagation in a nonlinear 1D composite material“, Wave Motion, vol. 50, pp. 271-281 (2013).
    249. Andrianov, I.V., Kalamkarov, A.L., Starushenko, A., “Analytical expressions for effective thermal conductivity of composite materials with inclusions of square cross-section“, Composites Part B: Engineering, vol. 50, pp. 44-53 (2013).
    250. Andrianov, I.V., Danishevs’kyy, V., Kalamkarov, A.L., “Vibration localization in one-dimensional linear and nonlinear lattices: discrete and continuum models”, Nonlinear Dynamics, vol. 72 (1-2), pp. 37-48 (2013).
    251. Andrianov, I., Olevs’kyy, V., Awrejcewicz, J., “Analytical perturbation method for calculation of shells based on 2-D Padé approximants,” International Journal of Structural Stability and Dynamics, vol. 13 (7), 1340003 (7 pages) (2013).
    252. Porubov, A.V., Andrianov, I.V., “Nonlinear waves in diatomic crystals”, Wave Motion, vol. 50, pp. 1153–1160 (2013).
    253. Kalamkarov, A.L., Andrianov, I.V., Starushenko, G.A., “Three-phase model for a composite material with cylindrical circular inclusions. Part I: Application of the boundary shape perturbation method“, International Journal of Engineering Science, vol. 78, pp. 154–177 (2014).
    254. Kalamkarov, A.L., Andrianov, I.V., Starushenko, G.A., “Three-phase model for a composite material with cylindrical circular inclusions. Part II: Application of Padé approximants “, International Journal of Engineering Science, vol. 78, pp. 178–119 (2014).
    255. Andrianov, I.V., Danishevs’kyy, V.V., Ryzhkov, O.I., Weichert, D., “Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material“, Wave Motion, 51, pp. 405–417 (2014).
    256. Kolpakov, A.L., Andrianov, I.V., “Asymptotic decomposition in the problem of joined elastic beams“, ZAMM, vol. 94 (10), pp. 818-836 (2014).
    257. Andrianov, I.V., Danishevs’kyy, V.V., Kushnierov, Ie.A., “Spatial localization of linear elastic waves in composite materials with defects”, ZAMM, vol. 94, pp. 1001–1010 (2014).
    258. Andrianov, I.V., Awrejcewicz, J., Starushenko, G.A., “Asymptotic analysis of the Maxwell Garnett formula using the two-phase composite model”, Int. J. Appl. Mech., vol. 7, No 2, p.1550025 (27 p.) (2015).
    259. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Optimal design of a functionally graded corrugated rods subjected to longitudinal deformation”, Arch. Appl. Mech., vol. 85, pp. 303 – 314 (2015).
    260. Andrianov, I.V., Danishevs’kyy, V.V., Markert, B., “Nonlinear vibrations and mode interactions for a continuous rod with microstructure”, Journal of Sound and Vibration, vol. 351, pp. 268 – 281 (2015).
    261. Porubov, A.V., Andrianov, I.V., Markert, B., “Transverse instability of nonlinear longitudinal waves in hexagonal lattices”, Proceedings of the Estonian Academy of Sciences, vol. 64, 3S, 349–355 (2015).
    262. Andrianov, I.V., Markert, B., “Simplified non-linear dynamical equations of circular cylindrical shells“, Mathematics and Mechanics of Solids, vol. 20, No 5, pp. 975 – 981 (2015).
    263. Kolpakov, A.G., Andrianov, I.V., Markert, B., “Asymptotic decomposition in the problem of joined elastic plates“, ZAMM, vol. 95, No 11, 1268–1281 (2015).
    264. Andrianov, I.V., Olevskyi, V.I., Awrejcewicz, J., “Approximate boundary value problems of a deformed flexible closed torso shell with excited edges”, International Journal of Applied Mechanics, vol. 8, No. 4 1650051 (19 pages), (2016).
    265. L. Kalamkarov, I.V. Andrianov, P. M. C. L. Pacheco, M. A. Savi, G.A. Starushenko. Asymptotic analysis of fiber-reinforced composites of hexagonal structure. Journal of Multiscale Modelling, vol. 7, No. 3, 1650006 (32 pages) (2016).
    266. Pilipchuk, V.N., Andrianov, I.V., Markert, B., “Analysis of micro-structural effects on phononic waves in layered elastic media with periodic nonsmooth coordinates“, Wave Motion, vol. 63, pp. 149-169 (2016).
    267. Andrianov I.V., Olevskyi V.I., Olevska Yu.B. Analytical Approximation of Periodic Ateb-Functions via Elementary Functions. In: Application of Mathematics in Technical and Natural Sciences. AIP Conf. Proc. 1773, 040001-1–040001-7 (2016).
    268. Andrianov I.V.,V. Danishevskyy, H. Topol, G. Rogerson, Propagation
      of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding, Acta Mech. 228, 1177–1196 (2016).
    269. Andrianov, I.V., Awrejcewicz, J., Danishevskyy, V.V., Markert, B., “Influence of geometric and physical nonlinearities on the internal resonances of a finite continuous rod with a microstructure”, Journal of Sound and Vibration, vol. 386, pp. 359 – 371 (2017).
    270. Andrianov, I.V., Awrejcewicz, J., Markert, B., Starushenko, G.A., “Analytical homogenization for dynamic analysis of composite membranes with circular inclusions in hexagonal lattice structures”, International Journal of Structural Stability and Dynamics, vol. 17, No. 9, pp. 1740015 (14 pages) (2017).
    271. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A. „Functionally graded rod with small concentration of inclusions: Homogenization and optimization“, International Journal of Non-Linear Mechanics, 91, pp. 189-197 (2017).
    272. Andrianov, I.V., Danishevskyy, V.V., Topol, H., “Asymptotic analysis of heat transfer in composite materials with nonlinear thermal properties“, International Journal of Heat and Mass Transfer,vol. 111, pp. 736–754 (2017).
    273. Andrianov, I.V., Diskovsky, A.A., Serko, E., „ Optimal design of a circular corrugated diaphragm using the homogenization approach “, Mathematics and Mechanics of Solids, vol. 22, No 3, pp. 283 – 303 (2017).
    274. Andrianov, I.V., Awrejcewicz , J., Starushenko, G.A., “Asymptotic models and transport properties of densely packed, high-contrast fibre composites. Part I: Square lattice of circular inclusions“, Composite Structures, vol. 179, pp. 617-627 (2017).
    275. Andrianov, I.V., Awrejcewicz , J., Starushenko, G.A., “Asymptotic models and transport properties of densely packed, high-contrast fibre composites. Part II: Square lattices of circular inclusions“, Composite Structures, vol. 179, pp. 351-359 (2017).
    276. Andrianov, I.V., Awrejcewicz , J., Starushenko, G.A., “Asymptotic models and transport properties of densely packed, high-contrast fibre composites. Part I: Square lattices of rhombic inclusions and hexagonal lattices of circular inclusions“, Composite Structures, vol. 180, pp. 351-359 (2017).
    277. Andrianov I.V., Olevskyi V.I., Olevska Yu.B. Asymptotic estimation of free vibrations of nonlinear plates with complicated boundary conditions. Application of Mathematics in Technical and Natural Sciences. AIP Conf. Proc. 1895, 080001-1–080001-10 (2017).
    278. Andrianov, I.V., Danishevskyy, V.V., Topol, H., Luyt A.S.,“Shear wave propagation in layered composites with degraded matrices at locations of imperfect bonding”, Wave Motion, vol. 78, pp. 9–31 (2018).
    279. Andrianov, I.V., Kaplunov, J., Kudaibergenov, A.K., Manevitch, L.I., “ The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell”, Zeitschrift für angewandte Mathematik und Physik, vol. 69 (1) (2018).
    280. Andrianov, I.V., Danishevskyy, V.V., Rogerson, G., “Elastic waves in periodically heterogeneous two-dimensional media: locally periodic and anti-periodic modes,“ Proceedings of the Royal Society A, 474 (2215) (2018).
    281. Andrianov, I.V., Danishevskyy, V.V., Rogerson, G., “Internal resonances and modes interactions in non-linear vibrations of viscoelastic heterogeneous solids”, Journal of Sound and Vibration, vol. 433, pp. 55 – 64 (2018).
    282. Kolpakov, A.G., Andrianov, I.V., Rakin, S.I., Rogerson, G.A., “An asymptotic strategy to couple homogenized elastic structures”, International Journal of Engineering Science, vol. 131, pp. 26–39 (2018).
    283. V. Andrianov, V. I. Olevskyi, I. V. Shapka, T. S. Naumenko, “Technique of Padé-type multidimensional approximations application for solving some problems in mathematical physics”, AIP Conference Proceedings 2025, 040002-1 – 040002-9 (2018).
    284. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., "Design optimization of FGM beam in stability problem", Engineering Computations, 36 (1), 248 - 270 (2018).
    285. Kolpakov, A.G., Andrianov, I.V., Prikazchikov, D.A., “Asymptotic strategy for matching homogenized structures. Conductivity problem”, The Quarterly Journal of Mechanics and Applied Mathematics, 71(4), pp. 519 – 535 (2018).
    286. Andrianov I., Starushenko G., Kvitka S., Khajiyeva L. The Verhulst-like equations: integrable O%u2206E and ODE with chaotic behavior. Symmetry 2019, 11, 1446; doi:10.3390/sym11121446.
    287. Andrianov, I.V., V.V. Danishevskyy, H. Topol. Local stress distribution in composites for pulled-out fibers with axially varying bonding. Acta Mechanica 231, 2065–2083 (2020).
    288. Andrianov I.V., Danishevskyy V.V., Rogerson G. Vibrations of nonlinear elastic lattices: low- and high-frequency dynamic models, internal resonances and modes coupling. Proceedings of the Royal Society A, 476, 20190532 (2020).
    289. Andrianov I.I., Andrianov I.V., Dyskovsky A.A., Ryzhkov E.V. Buckling of corrugated ring under uniform external pressure. Symmetry 2020, 12, 1250; doi:10.3390/sym12081250.
    290. Andrianov I., Zemlyanukhin A., Bochkarev A., Erofeev V. Steady solitary and periodic waves in nonlinear nonintegrable lattice. Symmetry 2020, 12, 1608; doi:10.3390/sym12101608.
    291. Andrianov, I.; Koblik, S.; Starushenko, G. Transition from discrete to continuous Media: The impact of symmetry changes on asymptotic behavior of waves. Symmetry 2021, 13, 1008.
    292. Andrianov, I.; Shatrov, A. Padé approximants, their properties, and applications to hydrodynamic problems. Symmetry 2021, 13, 1869.
    293. V. Andrianov, S.G. Koblik, G.A. Starushenko, A.K. Kudaibergenov. On aspects of gradient elasticity: Green’s functions and concentrated forces. Symmetry 2022, 14, 188.
    294. V. Andrianov. Why would a biologist need a logarithm? for the learning of mathematics AN INTERNATIONAL JOURNAL OF MATHEMATICS EDUCATION, 2022, 42(1), 11-12.
    295. Andrianov, I.V. The pursuit of simplicity: The scientific heritage of Professor Leonid I. Manevitch. International Journal of Non-Linear Mechanics 142, 103998, 2022.
    296. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., "Optimal design of the vascular stent ring in order to maximise radial stiffness“, Archive of Applied Mechanics, 92, 667–678, 2022.
    297. V. Andrianov, J. Awrejcewicz, G.A. Starushenko, Non-stationary heat transfer in composite membrane with circular inclusions in hexagonal lattice structures. Acta Mech., 233, 1339–1350, 2022.
    298. Khajiyeva, L.A.; Andrianov, I.V.; Sabirova, Y.F.; Kudaibergenov, A.K. Analysis of Drill-String Nonlinear Dynamics Using the Lumped-Parameter Method. Symmetry 2022, 14, 1495.
    299. Andrianov, I.I.; Andrianov, I.V.; Starushenko, G.A.; Borodin, E.I. Higher order asymptotic homogenization for dynamical problems. Math. Mech. Solids, 27(9), 1672-1686, 2022.
    300. Andrianov, J. Awrejcewicz, G.A. Starushenko, S.A. Kvitka, Effective heat conductivity of a composite with hexagonal lattice of perfectly conducting circular inclusions: An analytical solution, ZAMM 2022, 102, 11, e202200216.
    301. Kolpakov, A.G.; Andrianov, I.V.; Rakin, S.I. On the Influence of Initial Stresses on the Velocity of Elastic Waves in Composites. Computation 2023, 11, 15.
    302. Kolpakov A.G., Rakin S.I., Andrianov I.V.Boundary Layers in the Vicinity of the Prepreg Interface in Layered Composites and the Homogenized Delamination Criterion. International Journal of Solids and Structures, 267, 112166, 2023.
    303. Andrianov I., Starushenko G., Kvitka S. Calculation of Effective Characteristics of 2D Composite with Rhombic Voids Using an Inhomogeneous Cell Model. Symmetry, 2023, 15, 646.
    304. Andrianov I.V., Awrejcewicz J., Diskovsky A.A. Structural design of patient-specific vascular ring stents. Archive of Applied Mechanics 93, 1473–1490, 2023.

ArXiv

  1. Andrianov, I.V., Topol, H., “Asymptotic Analysis and Synthesis in Mechanics of Solids and Nonlinear Dynamics”, http://arxiv.org/abs/1106.1783 (2011).
  2. Igor Andrianov, Vladimir Mityushev, „Exact and ”exact” formulae in the theory of composites“, arXiv: 1708.02137 [math-ph].

 Articles in Wikipedia to which I have contributed

Asymptotology

Leonid Manevitch

Rem Barantsev

Science-popular books and other papers  [Back to top]

Other Papers

 

  1. Andrianov, I.V., Loboda, V.V., Manevitch, L.I., "Asymptotic analysis of boundary value problem of the reinforced cylindrical shells theory", Dynamic Strength and Stability of Large Engines Elements, No 1, Dnepropetrovsk, pp. 139-153 (1973) (in Russ.).
  2. Andrianov, I.V., Loboda, V.V., Manevitch, L.I., "Error estimate of the main approximations for asymptotic analysis of eccentrically reinforced cylindrical shells equations", Ibid, pp. 154-161 (1973) (in Russ.).
  3. Andrianov, I.V., Loboda, V.V., Manevitch, L.I., "The main hypothesis for the approximate theories of eccentrically stiffened cylindrical shells", Ibid, pp. 162-169 (1973) (in Russ.)
  4. Andrianov, I.V., "Using of asymptotic method for calculation of strain-stress state in an orthotropic strip stiffened by ribs", Theoretical and Experimental Investigations of Strength, Stability and Dynamics of Constructions, Dnepropetrovsk, pp. 25-29 (1973) (in Russ.).
  5. Andrianov, I.V., Loboda, V.V., Manevitch, L.I., "Calculations of cylindrical panels", Dynamics and Strength of Heavy Machins, No 1, pp. 145-54 (1976) (in Russ.).
  6. Andrianov, I.V., Dyskovskiy, A.A., "Investigation of rectangular plates with free hole natural oscillations", Dynamics and Strength of Heavy Engines, No 4, pp. 55-58 (1979) (in Russ.).
  7. Andrianov, I.V., Dyskovskiy, A.A., Prusakov, A.P., "Calculation of corrugated shells", Strength and Reliability of Construction’s Elements, Dnepropetrovsk, pp. 3-12 (1982) (in Russ.).
  8. Andrianov, I.V., Druz', B.I., Ogay, S.A., "Theory of pneumatic panel constructions with break parameters", Ship's Soft and Flexible Structures, Vladivostok, pp. 22-34 (1983) (in Russ.).
  9. Andrianov, I.V., Bulanova, N.S., "Pade' approximants method in nonlinear mechanics", Dynamics and Vibrodiagnostics of Mechanical Systems, pp. 35-40 (1983) (in Russ.).
  10. Andrianov, I.V., Barch, Z.I., "Design foundation plates reinforced by piles", Foundations and Basements in Specific Geological Conditions of the Ural Mountains, Perm, pp. 83-90 (1984) (in Russ.).
  11. Andrianov, I.V., Bulanova, N.S., "Constructing of Van der Pol equation solution by the one- and two-point Padé approximants", Differential Equations and Applications, Dnepropetrovsk, pp. 87-91 (1984) (in Russ.).
  12. Andrianov, I.V., Sedin, V.L., "Simplified nonlinear equations of theory of plates and shells", Computer Aided Design, Zagreb, pp. 207-211 (1984).
  13. Andrianov, I.V., "Simplified model of geometrically nonlinear oscillations of viscoelastic plate", Problems and Methods of Mechanics of Solids, Irkutsk, pp. 3-5 (1985) (in Russ.).
  14. Andrianov, I.V., Pasechnik, A.N., "Synthesis of simplified equations in the theory of shells", Questions of Structural Mechanics and Strength of Aircrafts, Moscow, pp. 3-5 (1985) (in Russ.).
  15. Andrianov, I.V., Shevchenko, V.V., "Torsion of rib, periodically weakened of square holes", Differential Equations and Applications, Dnepropetrovsk, pp. 55-59 (1985) (in Russ.).
  16. Andrianov, I.V., Molev, M.O., "Calculation of turbogenerator foundations with stripped unsupported plot", Basements and Foundations, Kiev, pp. 63-67 (1985) (in Russ.).
  17. Andrianov, I.V., Verbonol', V.M., "Influence of prebuckling state on the stability of stringer shells", Dynamics and Oscillations of Mechanical Systems, Ivanovo, pp. 118-123 (1986) (in Russ.).
  18. Andrianov, I.V., Shevchenko, V.V., "Free bending oscillations of plates, perforated by square holes", Differential Equations and Applications, Dnepropetrovsk, pp. 48-53 (1987) (in Russ.).
  19. Andrianov, I.V., Ivankov, A.O., "Using of Padé approximants and boundary conditions perturbation method for the solution of plate theory mixed problem", Strength, Stability and Durability Calculation of Thin-Walled Structures, Moscow, pp. 4-7 (1988) (in Russ.).
  20. Andrianov, I.V., Shevchenko, V.V., "Calculation of perforated shallow shells", Differential Equations and their Physical Applications, Dnepropetrovsk, pp. 31-35, (1988) (in Russ.).
  21. Andrianov, I.V., Ivankov, A.O., Sedin, V.L., "Analytical calculation of foundation plate dynamics", Foundations and Basements on Specific Geological Conditions of the Ural Mountains, Perm, pp. 83-90 (1988) (in Russ.).
  22. Andrianov, I.V., Shevchenko, V.V., "Perforated plates and shells", Asymptotic Methods in System’s Theory, Irkutsk, pp. 217-243 (1989) (in Russ.).
  23. Andrianov, I.V., "Simplified formula for circular cylinder frequency", Numerical and Experimental Methods of Airkraft Strength Investigation, Moscow, pp. 31-36 (1989) (in Russ.).
  24. Andrianov, I.V., Shevchenko, V.V., "Homogenised equations of equilibrium and free oscillations for density perforated shallow shells", Questions of Strength of Thin-Walled Structures Strength, Moscow, pp. 156-61 (1989) (in Russ.).
  25. Andrianov, I.V., Boyko, I.L., Sedin, V.L., "Analytical solutions of pile and soil interaction problem", Calculation and Design of Piles and Pile's Foundation, Perm, pp. 122-124 (1990) (in Russ.).
  26. Andrianov, I.V., Shevchenko, V.V., "Solution of cell problem for the case of large square hole in the problems of bending and oscillation of density perforated plates", Differential Equations and Physical Applications, Dnepropetrovsk, pp. 83-89 (1990) (in Russ.).
  27. Andrianov, I.V., Ivankov, A.O., "Modified method of boundary conditions perturbation for plate with mixed boundary conditions dynamic ", Modern Problem of Contact Interaction Mechanics, Dnepropetrovsk, pp. 41-44 (1990) (in Russ.).
  28. Andrianov, I.V., Chernetzkiy, V.A., "Analytical solving problems of natural planar oscillations of rectangular plates with mixed boundary conditions", Problems of Mechanics of Deformed Bodies and Destruction, Dnepropetrovsk, pp. 110-115 (1992) (in Russ.).
  29. Andrianov, I.V., Verbonol', V.M., "Stability research of stringer shells with momentness of prebuckling state", Research in the Theory of Plates and Shells, N 25, Kazan, pp. 41-47 (1992) (in Russ.).
  30. Andrianov, I.V., Ivankov, A.O., Yefimov, A.E., "Forced oscillations of plate with mixed boundary conditions", Theoretical Foundations in Civil Engineering (Ukrainian-Polish seminar, Dnepropetrovsk), Warsaw, pp. 9-12 (1993) (in Russ.).
  31. Andrianov, I.V., Chernetzkiy, V.A., "Analytical solving problem of planar oscillations of rectangular plate with complicated boundary conditions", Dynamics and Strength of Engines and Apparats, No 14, pp. 139-146 (1993) (in Russ.).
  32. Andrianov, I.V., Kholod, E.G., "Exact solution in the nonlinear theory of reinforced with discrete stiffness plates", Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 1, No 4, pp. 487-491(1994).
  33. Tokarzewski, S., Andrianov, I., Blawzdziewicz, J., "Two-point Padé approximants for effective conductivity of periodic array of cylinders", Advances in Structured and Heterogeneous Continua, Alerton Press, pp. 267-273 (1994).
  34. Andrianov, I.V., Burtova, N.E., Piskunov, V.I., Selyanskiy, V.K., "Asymptotic investigation of nonhomogeneous construction dynamics", Theoretical Foundations in Civil Engineering (2nd Ukrainian-Polish seminar, Dnepropetrovsk), Warsaw, pp. 126-129 (1994) (in Russ.).
  35. Andrianov, I.V., Pasechnik, A.N., Selyanskiy, V.K., "Asymptotic error of the composite equations of isotropic cylindrical shells theory", Problems of the Applied Mathematics and Mathematical Modelling, Dnepropetrovsk, pp. 9-12 (1995) (in Russ.).
  36. Andrianov, I.V., Linnik, R.Ya., Sazonetz, O.N., "Asymptotic investigation of the axial oscillations of rod with nonlinear boundary conditions", Ibid, pp. 4-8 (1995) (in Russ.).
  37. Andrianov, I., Loboda, V., Matyash, M., "Investigation of the stress-strain state of cracked cylindrical shell", Theoretical Foundations in Civil Engineering (3rd Ukrainian-Polish seminar, Warsaw, June 1995), Dnepropetrovsk, pp. 24-28 (1995) (in Russ.).
  38. Andrianov, I., Piskunov, V., Piskunova, Ye., "Calculation of the stress-strain state of the plane fricative foundations", Ibid, pp. 29-38 (in Russ.).
  39. Tokarzewski, S., Galka, A., Andrianov, I.V., "Continuous distributions of the effective transport coefficients generated by the experimental measurements", Theoretical Foundations in Civil Engineering (4th Ukrainian-Polish seminar, Warsaw, July 1996), Dnepropetrovsk, vol. II, pp. 131-147(1996).
  40. Andrianov, I.V., Matyash, M.V., "Analytical research stability of cylindrical shells under nonuniform external pressure", Ibid, vol.1, part 2, pp. 170-174 (1996) (in Russ.).
  41. Andrianov, I., Matyash, M., Lagoshny, A., "Using of perturbation procedure in presence of several small parameters", Theoretical Foundations in Civil Engineering (5th Ukrainian-Polish seminar, Dnepropetrovsk, June 1997), Warsaw, pp. 17-20 (1997) (in Russ.).
  42. Tokarzewski, S., Andrianov, I.V., Danishevs’kyy, V.V., "The investigation of a complex conductivity of regular arrays of spheres", Ibid, pp. 414-425 (1997).
  43. Pasechnik, A.N., Andrianov, I.V., Kolosenko, R.L., "Asymptotic method for investigation of critical axial tensions for shells of revolution", Problems of Applied Mathematics and Mathematical Modelling, Dnepropetrovsk, DGU, pp. 125-127 (1997) (in Russ.).
  44. Andrianov, I.V., Danishevskiy, V.V., Starushenko, G.A., "Asymptotic representation of the effective heat conductivity coefficient for composite meterial with diamond form large size fiber inclusions", Differential Equations and Applications, Dnepropetrovsk, DGU, pp. 46-52 (1998) (in Russ.).
  45. Tokarzewski, S., Andrianov, I., Starushenko, G., "Padé bounds for the effective coefficients of nonlinear temperature-dependent periodic composites", Theoretical Foundations of Civil Engineering (VI Ukrainian-Polish seminar, Warsaw, 6-11 July 1998), Warsaw, pp. 349-356 (1998).
  46. Tokarzewski, S., Andrianov, I., Starushenko, G., "Dynamical torsion moduli of porous beams filled with viscous fluid", Ibid, pp. 386-392 (in Polish).
  47. Andrianov, I., Danishevskiy, V., Tokarzewski, S., "An asymptotic representation for the effective shear properties of periodical inhomogeneous visco-elastic composite material with diamond fibres inclusions", Ibid, pp. 393-398. (in Russ.).
  48. Andrianov, I., Matyash, M., "Methods of small and large δ in nonlinear dynamics", Ibid, pp. 399-402 (in Russ.).
  49. Andrianov, I., Danishevskiy, V., Tokarzewski, S., Seferovskiy, Yu., "Effective Poisson coefficient of composite material with fiber inclusions of square cross-section", Theoretical Foundations of Civil Engineering (VII Ukrainian – Polish seminar, Warsaw, June 1999), Warsaw, pp. 16-19 (1999) (in Russ.).
  50. Andrianov, I., Zarubinskaya M., "Asymptotic investigation of strip reinforced by ribs stress – strain state", Ibid, pp. 21-26.
  51. Andrianov, I., Matyash, M., "Asymptotic of strongly nonlinear dynamical systems", Ibid, pp. 27-32 (in Russ.).
  52. Andrianov, I., Danishevs’kyy, V., Tokarzewski, S., “The method of quasifractional approximants in applications to mechanical problems”, Theoretical Foundations of Civil Engineering (VIII Ukrainian – Polish seminar, Warsaw, June 2000), Warsaw, pp. 371-376 (2000) (in Russ.).
  53. Andrianov, I., Zarubinskaya M., Kholod E., Horseva L., “Construction of periodical solutions of the dynamical problems for continuous systems with nonlinear boundary conditions”, Theoretical Foundations of Civil Engineering (VIII Ukrainian – Polish seminar, Warsaw, June 2000), Warsaw, pp. 377-381 (2000) (in Russ.).
  54. Andrianov, I., Matyash, M., Kirichek Yu., “Analytical approximations of the homoclinic orbits of the nonautonomous Duffing equation”, Theoretical Foundations of Civil Engineering (VIII Ukrainian – Polish seminar, Warsaw, June 2000), Warsaw, pp. 382-385 (2000) (in Russ.).
  55. Andrianov, I.V., Awrejcewicz, J., “Numbers or understanding: analytical and numerical methods in the theory of plates and shells”, Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 2, No 10, pp. 1319-1327 (2000).
  56. Kirichek Yu.A., Andrianov, I.V., “Analytical investigation of foundation inertia influence to the basement oscillations”, Proceeding of Pridneprovie State Academy of Civil Engineering and Architecture, Dnepropetrovsk, No 6, pp. 24-30 (2001).
  57. Tokarzewski, S., Andrianov, I., Danishevs’kyy, V., "Parametric complex bounds on effective transport coefficients of two-phase media", Theoretical Foundations of Civil Engineering (IX Ukrainian-Polish seminar, Dnepropetrovsk, 27 June - 1 July 2001), Warsaw, pp. 433-440 (2001).
  58. Andrianov, I.V., Awrejcewicz, J., "A comment on the problem of elasticity", Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol.3, No 12, pp. 475-478 (2002).
  59. Andrianov, I.V., "Asymptotic correspondence of physical theories", Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol.3, No 12, pp. 469-474 (2002).
  60. Tokarzewski, S., Galka A., Andrianov, I., Danishevs’kyy, V., "Parametric inclusion regions for transport coefficients of two-phase media", Theoretical Foundations of Civil Engineering (X Ukrainian-Polish seminar, Warsaw, June 2002), vol. 2, Warsaw, pp. 465-470 (2002).
  61. Andrianov, I.V, Danishevs’kyy, V.V, Tokarzewski, S., Horseva, L.Yu., Seferovskyy, Yu.S. “Effective plane shear modulus of a composite material with fibrous square-shaped inclusions”, Theoretical Foundations of Civil Engineering (X Ukrainian-Polish seminar, Warsaw, June 2002), vol. 1, Warsaw, pp. 535-542 (2002).
  62. Andrianov, I.V., Matyash, M.V., “Construction of continuous media models”, Theoretical Foundations of Civil Engineering (X Ukrainian-Polish seminar, Warsaw, June 2002), vol. 1, Warsaw, pp. 541-552 (2002) (in Russian).
  63. Andrianov, I.V., Matyash, M.V., “Improving of differential approach method”, Problems of Strength and Plasticity, No 64, pp.171-176 (2002) (in Russian).
  64. Andrianov, I.V., Prud’ko, E.I., “Quasifractional approximants for matching small and large delta approaches”, Theoretical Foundations of Civil Engineering (X Ukrainian-Polish seminar, Warsaw, June 2002), vol. 1, Warsaw, pp. 553-560 (2002).
  65. Kirichek, Yu., Andrianov, I., Lando, Ye., “Free oscillations of massive-plate bases”, Theoretical Foundations of Civil Engineering (X Ukrainian-Polish seminar, Warsaw, June 2002), vol. 1, Warsaw, pp. 668-673 (2002) (in Russian).
  66. Kirichek, Yu.A., Andrianov, I.V., Prud’ko, E.I., “Ribbed plates with alternating ribbs”, Proceeding of Pridneprovie State Academy of Civil Engineering and Architecture, Dnepropetrovsk, No 7, pp. 17-21 (2002).
  67. Kirichek, Yu.A., Andrianov, I.V., Prud’ko, E.I., “Investigation of oscillation of ribbed viscoelastic plate”, Proceeding of Pridneprovie State Academy of Civil Engineering and Architecture, Dnepropetrovsk, No 12, pp. 7-15 (2002).
  68. Andrianov, I.V., Awrejcewicz, J., “Homo analyticus or homo computicus?”, Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 3, No 13, pp. 765-770 (2003).
  69. Andrianov, I.V., “Is understanding an asymptotic process?”, Theoretical Foundations of Civil Engineering (XI Ukrainian-Polish seminar, Dnepropetrovsk, June 2003), Warsaw, pp. 15-18 (2003).
  70. Andrianov, I.V., Danishevs’kyy V.V., Tokarzewski S., “Asymptotic simulation of imperfect interfacial bonding in a fibre-reinforced composite under longitudinal shear deformation”, Theoretical Foundations of Civil Engineering (XI Ukrainian-Polish seminar, Dnepropetrovsk, June 2003), Warsaw, pp. 19-26 (2003).
  71. Andrianov, I.V., Matyash, M.V., “Analytical determination of threshold of energy pumping in system of linear and nonlinear oscillators”, Theoretical Foundations of Civil Engineering (XI Ukrainian-Polish seminar, Dnepropetrovsk, June 2003), Warsaw, pp. 28-30 (2003) (in Russian).
  72. Andrianov, I.V., Prud’ko, E.I., “Homogenization approach in the theory of integrally reinforced structures”, Theoretical Foundations of Civil Engineering (XI Ukrainian-Polish seminar, Dnepropetrovsk, June 2003), Warsaw, pp. 31-36 (2003).
  73. Starushenko, G.A., Andrianov, I.V., Rogoza, B.Ye., “Analysis of the phase model for the periodic problems of the theory of elasticity”, System Technologies, No 4(27), 99-103 (2003) (in Russian).
  74. Kirichek, Yu.A., Andrianov, I.V., Prud’ko, E.I., “Basement of Muravsky and two-point Vlasov model“, Basements and Foundations, Spb. GASU, Sankt-Petersburg, 106-110 (2004) (in Russian).
  75. Andrianov, I.V., Matyash, M.V., “Continuous models for chain of inertial linked masses”, Theoretical Foundations of Civil Engineering (XII Ukrainian-Polish seminar, Warsaw, June 2004), vol. II, Warsaw, pp. 539-546 (2004) (in Russian).
  76. Andrianov, I.V., Ivankov, A.O., Matyash, M.V., “Moving of mathematical string with variable speed”, Theoretical Foundations of Civil Engineering (XII Ukrainian-Polish seminar, Warsaw, June 2004), vol. II, Warsaw, pp. 547-552 (2004) (in Russian).
  77. Kirichek, Yu., Andrianov, I., Lando, Ye., “Oscillations of combined massive-plate bases under the action of vertical loading”, Theoretical Foundations of Civil Engineering (XII Ukrainian-Polish seminar, Warsaw, June 2004), vol. II, Warsaw, pp. 693-696 (2004) (in Russian).
  78. Nerubaylo, B.V., Andrianov, I.V., Ivankov, A.O., “Solution of partial differential equations with variable coefficients and singular right hand side”, Theoretical Foundations of Civil Engineering (XII Ukrainian-Polish seminar, Warsaw, June 2004), vol. II, Warsaw, pp. 779-782 (2004) (in Russian).
  79. Andrianov, I.V., Awrejcewicz, J., Kudra, G., "Iterative processes and Padé approximants", Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 4, No 1, pp. 1-10 (2004).
  80. Andrianov, I.V., Awrejcewicz, J., “Asymptotic approaches in the theory of shells: long history and new trends”, Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 5, No 1, pp. 99-116 (2006).
  81. Andrianov, I.V., Awrejcewicz, J., Diskovskyy, A.A., “Optimal design ring-stiffened shells”, Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 6, No 1, pp. 75-80 (2007).
  82. Andrianov, I.V., Awrejcewicz, J., “String and beam-like models and the reduction problem”, Facta Universitatis, ser. Mechanics, Aut. Control and Robotics, University of Niš, vol. 6, No 1, pp. 189-191 (2007).
  83. Andrianov, I., Bolshakov, V., Danishevs'kyy, V., Weichert D., “Asymptotic study of low- and high-conducting interfaces in a granular composite material”, Theoretical Foundations of Civil Engineering (16th Ukrainian-Polish seminar, Dnepropetrovsk, June 2008), Warsaw, pp. 49-60 (2008).
  84. Tokarzewski, S., Andrianov, I., “Viscoelastic behavour of a cancellous bone with marrow”, Theoretical Foundations of Civil Engineering (16th Ukrainian-Polish seminar, Dnepropetrovsk, June 2008), Warsaw, pp. 367-372 (2008).
  85. Andrianov, I., Danishevs'kyy, V., Topol, H., Weichert, D., “Nonlinear deformation and failure of fibre composites for the non-dilute case”, Theoretical Foundations of Civil Engineering (18th Ukrainian-Polish seminar, Dnepropetrovsk, September 2010), Warsaw, pp. 27-38 (2010).
  86. Andrianov, I., Danishevs'kyy, V., Khorseva, L., “Continuous model of 2D discrete media based on composite equations”, Theoretical Foundations of Civil Engineering (18th Ukrainian-Polish seminar, Dnepropetrovsk, September 2010), Warsaw, pp. 39-44 (2010).
  87. Andrianov, I., Olevs'kyy, V., Pletin, V., “Generalization of Adomian's and homotopy perturbations approaches based on modified continuation parameter method”, Theoretical Foundations of Civil Engineering (18th Ukrainian-Polish seminar, Dnepropetrovsk, September 2010), Warsaw, pp. 45-52 (2010).

Scientific-popular Papers

  1.  Andrianov, I.V., Manevitch, L.I., "Two hiepostaces of asymptotics", Priroda, No 4, pp. 85 - 97 (1987) (in Russ.).
  2. Andrianov, I.V., Brezinski, K., "Henry Pade’: another birthday", Priroda, No 5, pp. 126-127 (1991) (in Russ.).
  3. Andrianov, I.V., Manevitch, L.I., "The theory of shells: phenomenology and first principles in Applied Science", Priroda, No 12, pp. 67-72 (1993) (in Russ.).
  4. Andrianov, I.V., "Insistently recommended for translation in Russian", Priroda, No 2, pp. 122-123 (1994) (in Russ.).
  5. Andrianov, I.V., "American Medal of Science - to M.Kruscal", Priroda, No 11, pp. 122-123 (1994) (in Russ.).
  6. Andrianov, I.V., "Theoretical" and "rigorous" mathematics: new division was born", Znanie - Sila, No 5, pp. 108-110 (1994) (in Russ.).
  7. Andrianov, I.V. "School course of Mathematics - what must one teach? ", Znanie - Sila, No 1, pp. 2-3 (1996) (in Russ.).
  8. Andrianov, I., "Who invented Mandelbrot's fractal?", Znanie-Sila, No 11, pp. 70-73 (1997) (in Russ.).
  9. Andrianov, I.V., Bulanova N.S., "Does" Theoretical Mathematics" exist?", U Svity Matematyki, vol. 3, No 4, pp. 1-4 (1997) (in Ukr.).
  10. Andrianov, I.V., "Why does mathematician read Nabokov difficult?", Zvezda, No 3, pp. 235-236 (1998) (in Russ.).
  11. Andrianov, I., "Asymptotology as tenor of L.I.Manevitch creation", Problems of Nonlinear Mechanics and Physics of Materials, Dnepropetrovsk, National Mining Academy of Ukraine, pp. 300-307 (1999) (in Russ.).
  12. Andrianov, I.V., "Looks at the “Znanie-Sila” on the side (but not the stranger)", Znanie - Sila, No 1, pp. 3-4 (2000) (in Russ.).
  13. Andrianov, I.V., "Insight, not numbers", Znanie - Sila, No 3, pp. 79-81 (2000) (in Russ.).
  14. Andrianov, I.V., "Vladimir Vasil’evitch Beletskii”, Earth and Universe, No 4, pp. 36-37 (2000) (in Russ.).
  15. Andrianov, I.V., “The last universal”, Theoretical Foundations of Civil Engineering (VIII Ukrainian – Polish seminar, Warsaw, June 2000), Warsaw, pp. 25-26 (2000) (in Russ.).
  16. Andrianov, I.V., “Nonconformist”, Sankt-Petersburg University, No 3-4 (3589-3590), pp. 31-32 (2002) (in Russ.).
  17. Andrianov, I.V., "Complication is simple, simplification is complicated”, Znanie - Sila, No 5 (2003) (in Russ.).
  18. Andrianov, I.V., “Hard deal”, AIF in Europe, 28’03 (2003) (in Russ.).
  19. Andrianov, I.V., Synergetic: from Past to Future, Znanie - Sila, No 1 (2005), pp. 121-122 (in Russ.).

Reviews

  1. Sivertsen, O.I., “Virtual Testing of Mechanical Systems: Theories and Techniques”, Swets and Zeitlinger Publ., Lisse, Netherlands (2001), Appl. Mech. Rev., vol. 55, No 4, p. B6 (2002).
  2. Lebedev, L.P., Vorovich I.I., “Functional Analysis in Mechanics”, Springer-Verlag, New York (2003), Appl. Mech. Rev., vol. 56, No 4, p. B56 (2003).
  3. Nagaev, R.F., “Dynamics of Synchronising Systems”, Springer-Verlag, Berlin (2003), Appl. Mech. Rev., vol. 56, No 6, p. B79 (2003).

  Author's USSR certificate for invention

  1. Andrianov, I.V., Molev, M.O., Shvetz, N.S., "Foundation under equipment", Author's USSR certificate for invention No 1032117, April 1, 1983.
  2. Andrianov, I.V., et al., "Fastering arrangement", Author's USSR certificate for invention No 1155792, Jan.15, 1985.

 

Proceedings of the refereed conferences

  1. Andrianov, I.V., Manevitch, L.I., "Tension transmission throw elastic elements on an orthotropic strip stiffened by ribs", Proceeding of 9th All-Union Conference on the Shells and Plates Theory, Leningrad, pp. 244-247 (1975) (in Russ.).
  2. Obraztsov, I.F., Nerubaylo, B.V., Andrianov, I.V., "Construction of asymptotic uniformly applied approximate solutions for the theory of plates and shells problems", Proceedings of 14 All-Union Conference on the Theory of Plates and Shells, Tbilisi, vol. 1, pp. 94-98 (1987) (in Russ.).
  3. Andrianov, I.V., Ivankov, A.O., "A new analytical method for mixed problems of plates theory", Proceedings of 15th All-Union Conference on the Plates and Shells Theory, Kazan, pp. 470-475 (1990) (in Russ.).
  4. Andrianov, I.V., Verbonol’, V.M., "Stringer shell stability investigation with undercrirical state in nonaxisymmetric bending moments consideration", Stab. Steel Struct., Budapest, Apr. 25 - 27, 1990, vol. 2, pp. 993-1000 (1991).
  5. Andrianov, I., Ivankov, A., “On the solution of plates and shells mixed boundary problems”, Mechanics Computing in 1990's and Beyond. ASCE Engineering Mechanics Specialty Conference; Columbus, OH, USA; 20 May 1991 through 22 May 1991 Editors: Adeli Hojjat, Sierakowski Robert L. Publ by ASCE, New York, NY, 1991, 751-755.
  6. Andrianov, I.V., Ivankov, A.O., "Solution of stability problem for rectangular plates with mixed boundary conditions on the basis on new asymptotic method", The 5th Conference SHELL STRUCTURES: Theory and Applications, Warsaw, pp. 43-46 (1992).
  7. Andrianov, I., "Asymptotic modeling and modern computers: procedurally interactive and mutually complementary", Computer Methods in Mechanics. Proc. XI Polish Conf. on Comp. Meth. in Mechs. Kielce-Cedzyna, Poland, 11 - 14 May 1993, vol. 1, pp. 29-36 (1993).
  8. Andrianov, I.V., Pasechnik, A.N., "Composite equations in the stability theory of reinforced cylindrical shells", VII Sympozjum Statecznosci Konstrukcji, Bielsko-Biala, 7-9 December 1994, pp. 5-8 (1994).
  9. Andrianov, I.V., "Two-point Padé approximants in the dynamical problems", The Third Conference on Dynamical Systems: Theory and Applications, Lodz, 6 December 1995, pp. 51-54 (1995).
  10. Andrianov, I., "Theory of nonlinear oscillations and distributional asymptotic approach", Analysis and Synthesis of Nonlinear Dynamical Systems in Mechanics, Proceedings of the International Symposium, Riga, June 3-7, pp. 1-4 (1996).
  11. Andrianov, I., Matiyash, M., Koblik, S., "Asymptotic method in the plane theory problem for the orthotropic strip with cuts", MECHANISMS AND MECHANICS OF DAMAGE AND FAILURE. Proc. 11th Biennial European Conference on Fracture, ECF 11, Poitiers-Futuroscope, France, 3-6.09 1996, EMAS, vol.1, pp. 207-211 (1996).
  12. Tokarzewski, S., Galka, A., Andrianov, I., "Continued fraction technique for an investigation of the effective conductivity of regular composites", XIII Polish Conf. Comp. Meth. in Mech., Poznan, Poland, 5-8 May 1997, pp. 1281-1288 (1997).
  13. Andrianov, I., Matyash, M., "Buckling of cylindrical shells, ring-stiffened on the ends, under nonuniform external pressure", VIII Sympozjum Statecznosci Konstrukcji, Zakopane, 22-26.09.1997, pp. 13-18 (1997).
  14. Andrianov, I.V., Kalamkarov, A.L, "A new asymptotic approach to the analysis of reinforced structures", Applied Mechanics in the Americas, vol.4: Mechanics and Dynamics of Solids, The University of Iowa, Iowa City, pp. 155-158 (1997).
  15. Andrianov, I.V., Rogoza, B.Ye., "A restricted Bäcklund transformation and nonlinear superposition of Duffing equation exact solutions of ", Proc. 4th on Dynamical Systems - Theory and Appl., Lodz, 8-9.12 1997, pp. 47-50 (1997).
  16. Andrianov, I.V., "Systems with high degree of nonlinearity as vibro-impact ones-asymptotic approaches", Dynamics of Vibro-Impact Systems, Proc. of the Euromech Coll., 15-18.09 1998, V.I. Babitsky (Ed.), Springer-Verlag, pp. 137-139 (1998).
  17. Andrianov, I.V., Awrejcewicz, J., “Analysis of a linear wave equation with nonlinear boundary conditions using small δ method”, Proc. 5th on Dynamical Systems: Theory and Appl., Lodz, 6-8.12 1999, pp. 53-58 (1999).
  18. Andrianov, I.V., Awrejcewicz, J., “Small δ method applied for construction of periodic solutions to nonlinear partial differential equations”, Ibid, pp. 59-66.
  19. Andrianov, I.V., Awrejcewicz, J., “Asymptotic analysis of strongly nonlinear dynamical systems”, Ibid, pp. 67-70.
  20. Andrianov, I.V., Awrejcewicz, J., “Development of computer technology and classical sciences”, Ibid, pp. 71-76.
  21. Andrianov, I.V., Zarubinskaya, M., Danishevskiy, V., Kirichek, Yu., “Asymptotic approaches in nonlinear dynamics of the reinforced strip”, Ibid, pp. 83-88.
  22. Andrianov, I.V., Awrejcewicz, J., “Analytical investigation of strongly nonlinear dynamical systems”, 1999 ASME Design Eng. Tech. Conf. (DETC 99/ VIB-800), Sept. 12-15, 1999, Las Vegas, Nevada, pp. 1-5 (1999).
  23. Andrianov, I.V., Awrejcewicz, J., “Homogenization procedure in the theory of peridically non-homogeneous platse and shells”, IASS-IACM 2000, Fourth Int. Coll. on Comp. of Shell & Spatial Str., 4-7.06 2000, Chania-Crete, Greece, pp. 2-18 (2000).
  24. Andrianov, I.V., Danishevs’kyy, V.V., Kostyrko, V.V., “Asymptotic small delta method for nonlinear oscillations”, ICAPV 2000, Proc. Int. Conf. Adv. Problems in Vib. Theory & Appl., 19-22.06 2000, Xi’an, Chine, J.H.Zhang, X.N.Zhang, eds., Science Press, pp. 788-791 (2000).
  25. Andrianov, I.V., Awrejcewicz, J., “Analysis of periodic oscillations of partiall differential equations using small delta method”, CIMASI’2000, Third Int. Appl. Math. & Engn. Sc., 23-25.10 2000, EHTP Casablanca, Marocco, pp.31-37 (2000).
  26. Andrianov, I.V., Awrejcewicz, J., “Non-traditional asymptotic approach to investigation wave nonlinear equation”, Math. And Num. Aspects of Wave Propagation. 5th Conf. , Santiago de Compostela, Spain, July 10-14, 2000; A. Bermúdez et al., eds. SIAM, Philadelphia, PA, pp. 260-264 (2000).
  27. Andrianov, I.V., Verbonol, V.M., Awrejcewicz, J., "Influence of a pre-critical state on the stability of a stringer shell", Buckling Prediction of Imperfection Sensitive Shells, EUROMECH Coll. 424, 2-5 Sept. 2001, Kerkrade, The Netherlands, pp. 6-10 (2001).
  28. Andrianov, I.V., Awrejcewicz, J., “Averaging analysis of in-plane problems for flexible elements with attenuations”, Proc. 6th on Dynamical Systems: Theory and Appl., Lodz, 10-12.12 2001, pp. 127-134 (2001).
  29. Andrianov, I.V., Awrejcewicz, J., “Perturbation method for calculation of quadrilateral membranes”, Ibid, pp. 135-138 (2001).
  30. Andrianov, I.V., Danishevs’kyy, V.V., “Multi-modes free vibrations of nonlinear continuous structures”, Ibid, pp. 139-146 (2001).
  31. Andrianov, I.V., Awrejcewicz, J., Kirichek, Yu.A., Koblik, S.G., “Elastic half- plane with embedded punch”, Proc. 7th on Dynamical Systems - Theory and Appl., Lodz, 8-11.12 2003, vol. 2, pp. 765-774 (2003).

32.          Andrianov, I., Danishevs'kyy, V., “Nonlinear vibrations of a membrane”, Fifth EUROMECH Nonlinear Dynamics Conference, August 7-12, 2005, Eindhoven TU, Proceedings (CD), ed. D.H. van Campen, M.D. Lazutko, W.P.J.M. van den Oever, 21-268.

  1. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Homogenization of the irregular cell-types constructions”, Proc. 8th on Dynamical Systems - Theory and Appl., Lodz, 12-15.12 2005, vol. 2, pp. 871-876 (2005).
  2. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Optimisation procedure applied to ring-stiffened shells”, Proc. 8th on Dynamical Systems - Theory and Appl., Lodz, 12-15.12 2005, vol. 2, pp. 605-610 (2005).
  3. Andrianov, I., Awrejcewicz, J., Ivankov, A., “Continuous approximation for discrete media with linear relaxation”, Proc. 8th on Dynamical Systems - Theory and Appl., Lodz, 12-15.12 2005, vol. 2, pp. 611-616 (2005).
  4. Andrianov, I.V., Awrejcewicz, J., Pasichnik, I.V., “Dynamics of reinforced viscoelastic plate – homogenisation approach”, Proc. 8th on Dynamical Systems - Theory and Appl., Lodz, 12-15.12 2005, vol. 2, pp. 617-624 (2005).
  5. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Fibrous composite with weak interface”, Starodubovskie Chteniya 2007, Stroitelstvo, Materialovedenie, Mashinostroenie, vol. 41, part 1, Dnepropetrovsk, 2007, pp. 34-40.
  6. Andrianov, I., “Continuous models valid for micro- and nanoscales”, Proc. 9th on Dynamical Systems - Theory and Appl., Lodz, 17-20.12 2007, vol. 1, pp. 17-40 (2007).
  7. Andrianov, I., Awrejcewicz, J., Ivankov, A., “Asymptotic solution of dynamical problems for non-homogeneous structures”, Proc. 9th on Dynamical Systems - Theory and Appl., Lodz, 17-20.12 2007, vol. 1, pp. 99-104 (2007).
  8. Andrianov, I., Awrejcewicz, J., Weichert, D., “On the load-transfer from an elastic fibre to isotropic half-space with coating”, Proc. 9th on Dynamical Systems - Theory and Appl., Lodz, 17-20.12 2007, vol. 2, pp. 517-530 (2007).
  9. Andrianov, I., Kirichek, Y., Awrejcewicz, J., “Modified Muravskii model for elastic foundations”, Proc. 10th on Dynamical Systems - Theory and Appl., Lodz, 7-10.12 2009, vol. 1, pp. 117-122 (2009).
  10. Andrianov, I., Starushenko, G., Awrejcewicz, J., “Numerical investigation of nonlocal theory of elasticity models for 1D linear wave processes”, Proc. 10th on Dynamical Systems - Theory and Appl., Lodz, 7-10.12 2009, vol. 1, pp. 123-126 (2009).
  11. Andrianov, I., Awrejcewicz, J., Diskovsky, A., “Asymptotic investigation of corrugated elements with quasi-periodic structures”, Proc. 10th on Dynamical Systems - Theory and Appl., Lodz, 7-10.12 2009, vol. 2, pp. 523-532 (2009).
  12. Andrianov, I., Awrejcewicz, J., Weichert, D., “Analytical study of the interface in fibre-reinforced 2D composite”, Proc. 10th on Dynamical Systems - Theory and Appl., Lodz, 7-10.12 2009, vol. 2, pp. 533-542 (2009).
  13. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Design of the non-homogeneous quasi-regular structures”, Advanced Problems in Mechanics of Heterogeneous Media and Thin-Walled Structures, eds. V.I. Bolshakov, D. Weichert, Dnipropetrovs’k, ENEM, 2010, pp. 7-18.
  14. Andrianov, I.V., Danishevs’kyy, V.V., Ryzhkov A.I., Topol H., “Nonlinear elastic waves and dynamic properties of a layered composite material”, Advanced Problems in Mechanics of Heterogeneous Media and Thin-Walled Structures, eds. V.I. Bolshakov, D. Weichert, Dnipropetrovs’k, ENEM, 2010, pp. 19-38.
  15. Andrianov, I.V., Danishevs’kyy, V.V., Topol H., “Asymptotic homogenization for periodic composite materials with imperfect bonding conditions”, Advanced Problems in Mechanics of Heterogeneous Media and Thin-Walled Structures, eds. V.I. Bolshakov, D. Weichert, Dnipropetrovs’k, ENEM, 2010, pp. 39-46.
  16. Andrianov, I.V., Mil’tsin, A.M., Olevs’kyy, V.I., Pletin, V.V., “Study of cylindrical shells with technological imperfections type conicity and ovality under axial compression”, Advanced Problems in Mechanics of Heterogeneous Media and Thin-Walled Structures, eds. V.I. Bolshakov, D. Weichert, Dnipropetrovs’k, ENEM, 2010, pp. 47-58.
  17. Bolshakov, V.I., Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Homogenization of viscoelastic fibre-reinforced composite materials”, Advanced Problems in Mechanics of Heterogeneous Media and Thin-Walled Structures, eds. V.I. Bolshakov, D. Weichert, Dnipropetrovs’k, ENEM, 2010, pp. 59-77.
  18. Weichert, D., Andrianov, I., Danishevs’kyy, V., “Asymptotic homogenization and nonlinear elastic waves in periodic composite materials”, Dynamical Systems. Analytical/Numerical Methods, Stability, Bifurcation and Chaos. Eds. Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J. Lódz, December 5-8, 2011, Poland, pp. 31-36 (2011).
  19. Andrianov, I., Awrejcewicz, J., Diskovsky, A., “Homogenization of functionally graded materials”, Dynamical Systems. Analytical/Numerical Methods, Stability, Bifurcation and Chaos. Eds. Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J. Lódz, December 5-8, 2011, Poland, pp. 55-62 (2011).
  20. Andrianov, I., Olevs’kyy, V., Awrejcewicz, J., “Approximate analytical perturbation method based on 2-D Padé approximants”, Dynamical Systems. Analytical/Numerical Methods, Stability, Bifurcation and Chaos. Eds. Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J. Lódz, December 5-8, 2011, Poland, pp. 63-68 (2011).
  21. Andrianov, I., Awrejcewicz, J., Danishevs’kyy, V., Markert, B., “Spatial localization of waves in nonlinear composite material”, Dynamical Systems. Theory. Eds. Awrejcewicz, J., Kazmierczak, M., Olejnik, P., Mrozowski, J. Lódz, December 2-5, 2013, Poland, pp. 27-34 (2013).
  22. Andrianov, I.V., Danishevs’kyy, V.V., Awrejcewicz, J., «Shear waves dispersion in cylindrically structured cancellous viscoelastic bones», Applied Non-Linear Dynamical Systems, Awrejcewicz, J. (ed.) ( Springer Proceedings in Mathematics and Statistics, vol. 93, 2014, pp. 85-101 (2014)).
  23. Andrianov, I., Awrejcewicz, J., Danishevs’kyy, V., Markert, B., “Internal resonances in nonlinear vibrations of a continuous rod with microstructures”, Dynamical Systems. Control and Stability. Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P. DSTA 2015, Lódz, December 7-10, 2015, Poland, pp. 19-28 (2015).
  24. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Strain analisys and structural localization of functionally graded rod with small concentration of inclusions”, Dynamical Systems. Mathematical and Numerical Approaches. Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P. DSTA 2015, Lódz, December 7-10, 2015, Poland, pp. 41-56 (2015).
  25. Andrianov, I., Awrejcewicz, J., Markert, B., Starushenko, G., “On the vibrations of a composite structures with hexagonal structure of a circular inclusions”, Dynamical Systems. Mechatronics and Life Sciences. Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P. DSTA 2015, Lódz, December 7-10, 2015, Poland, pp. 11-22 (2015).
  26. Andrianov, I.V., Awrejcewicz, J., Diskovsky, A.A., “Natural oscillations of rectangular plates with holes: using Reissner’s approach”, Vibration, Control and Stability of Dynamical Systems. Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P. DSTA 2017, Lódz, December 11-14, 2017, Poland, pp. 35-40 (2017).

Abstracts

  1. Andrianov, I.V., Verbonol', V.M., "A stability analysis of stringer-stiffened shells assuming prebuckling nonaxisymmetric bending", 28th Polish Solid Mechanics Conference, Kozubnik, pp. 9-11 (1990).
  2. Andrianov, I.V., Sedin, V.L., “Turbogenerator foundation analysis under wide-range (seismic in particular) excitation”, Int. Conference on Recent Adavances in Geotechnical Earthquake Engineering and Soil Dynamics, vol. VI-3, pp. 1547-1551 (1991).
  3. Andrianov, I.V., Mazo, B.M., "Investigation of pile in the visco-elastic layer", Problems of Pile's Foundation Conctruction. 3d Int. Conf., part 1, Perm, pp. 87-90 (1992) (in Russ.).
  4. Andrianov, I.V., Starushenko, G.A., "Homogenization procedure and Pade' approximations in the theory of periodically nonhomogeneous media", Lightweight Structures in Civil Engineering, vol. 1, Warsaw, pp. 494-495 (1995).
  5. Andrianov, I.V., Danishevskiy, V., Horseva, L., “Problem of small denominators in the theory of continuous systems nonlinear oscillations”, EQUADIFF 99, Int. Conf. on Diff. Equations, Berlin, 1-7 August 1999, Abstracts, pp. 324-325 (1999).
  6. Andrianov, I.V., Danishevs’kyy, V.V., “Asymptotic small delta method for nonlinear oscillations of continuous systems”, Abstr. XIII Int. Cong. Math. Phys., 17-22.07 2000, London, UK, p.25 (2000).
  7. Andrianov, I.V., Starushenko, G.A., Danishevs’kyy, V.V., Tokarzewski, S., "Padé approximants for effective properties of composite materials”, Book of Abstr. II, General Sessions, 4th EUROMECH, Metz, France, Univ. de Metz, p.242 (2000).
  8. Andrianov, I.V., “Homogenization approach in Mechanics of Composite materials”, 13. Workshop Composite Forschung in der Mechanik. 05.-06. Dezember 2000, Paderborn, Liborianum, p. 8 (2000).
  9. Tokarzewski, S., Andrianov, I., Danishevs'kyy, V., Starushenko, G., “Analytical continuation of asymptotic expansions of effective transport properties”, Abstracts of the Third World Congress of Nonlinear Analysts. - Catania (Italy), p.648 (2000).
  10. Andrianov, I.V., Danishevs’kyy, V.V., “Homogenization approach in Mechanics of Solids," 3rd ISAAC Congress, Frei Univ. Berlin, Germany, Aug. 20-25, 2001, pp.176-177 (2001).
  11. Andrianov, I.V., Awrejcewicz, J., Danishevs’kyy, V.V., "Asymptotic methods for nonlinear periodical vibrations of continuous structures", EQUADIFF 10, Abstracts, Math. Ins. Ac. Sc. Czech Rep., K.Norák, M.Krbec, eds., Prague, p.10 (2001).
  12. Andrianov, I.V., Danishevs’kyy, V.V., "Multi-modes vibrations of nonlinear continuous structures", EUROMECH Coll. 425: Non. Dyn., Control and Condition Monitoring, 20-24 Aug. 2001, Book of Abstracts, Aberdeen, 2001, p. 17 (2001).
  13. Andrianov, I., Danishevs’kyy, V., Weichert, D. "Asymptotic evaluation of effective elastic moduli of periodical composite materials", First SIAM-EMS Conf. "Appl. Math. in our Changing World", Sept. 2-6 2001, Berlin, Germany, Coll. of Abstr., p. 78 (2001).
  14. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D. “Analogy between asymptotic evaluation of transport and elastic properties of fibre-reinforced composite materials”, 14. Workshop Composite Forschung in der Mechanik. 04.-05. Dezember 2001, Paderborn, Liborianum, p. 9 (2001).
  15. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D. „Asymptotic evaluation of effective complex moduli of fibre-reinforced visco-elastic composite materials“, GAMM 2002 Annual Scientific Conference, Book of Abstracts, p. 30 (2002).
  16. Andrianov, I.V., Danishevs’kyy, V.V., “Artificial small parameters in Nonlinear Dynamics”, 4th Euromech Nonlinear Oscillations Conference, August 19-23, Moscow, Book of Abstracts, p. 21 (2002).
  17. Andrianov, I.V., Danishevs’kyy, V.V., Tokarzewski, S., Weichert, D., ”Continuous approximations of discrete media”, 34th Solid Mechanics Conf., September 2-7, Zakopane, Poland, Book of Abstract, pp.43-44 (2002).
  18. Tokarzewski, S., Galka, A., Andrianov, I.V., Danishevs’kyy, V.V., “Homogenized torsional modulus of a viscoelastic beam reinforced with thin visvoelastic fibers”, 34th Solid Mechanics Conf., September 2-7, Zakopane, Poland, Book of Abstract, pp.275-276 (2002).
  19. Andrianov, I.V., “Simplified nonlinear dynamic equations for smooth plates and shells”, EUROMECH Coll. 444, Critical Review of the Theories of Plates and Shells and new Applications, Sept. 22-25, 2002, Bremen, Germany, pp.10-13 (2002).
  20. Andrianov, I.V., Awrejcewicz, J., “Simplified nonlinear dynamic equations for smooth plates and shells”, The 7th Conference Shell Structures: Theory and Applications, Gdansk – Jurata (Poland), October 9-11, 2002, pp. 47-48 (2002).
  21. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Homogenization of corrugated plates”, The 7th Conference Shell Structures: Theory and Applications, Gdansk – Jurata (Poland), October 9-11, 2002, pp. 49-50 (2002).
  22. Andrianov, I.V., Danishevs’kyy, V.V., “Homogenization and discrete-continuum approach in the Mechanics of Solids”, NATO Advanced Research Workshop “Nonlinear Homogenization and Its application to Composites, Polycrystals and Smart Materials”, Kazimierz Dolny, Poland, June 23-26, 2003.
  23. Andrianov, I.V., Awrejcewicz, J., “Continualization and Padé approximants”, Equadiff 2003, Hasselt-Belgium, July 22-26, 2003, Abstracts, p.10 (2003).
  24. Andrianov, I.V., Awrejcewicz, J., “Matching solutions based on small and large delta approaches”, Proceedings of DETC’03, ASME 2003 Design Eng. Tech. Conf. (DETC 2003/ VIB-48591), Sept. 2-6, 2003, Chicago, Illinois, pp. 1-5 (2003).
  25. Andrianov, I.V., Danishevs’kyy V.V., Weichert, D., “Asymptotic study of fibre-reinforced composites with imperfect interface bonding and with coated fibres”, 16. Workshop Composite Forschung in der Mechanik. 01.-03. Dezember 2003, Paderborn, Liborianum, p. 8 (2003).
  26. Andrianov, I.V., Danishevs’kyy V.V., Weichert, D., “Asymptotic study of a fibre-reinforced composites with imperfect interface bonding and with coated fibres”, GAMM 75th Annual Scientific Conference, Dresden, March 21-27, 2004, Book of Abstracts, p. 77 (2004).
  27. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Asymptotic simulation of imperfect interface bonding in a fibre-reinforced composite”, Thirteenth Int. Conf. “Mechanics of Composite Materials”; Riga, Latvia, May 16-21, 2004, Book of Abstracts, p. 15 (2004).
  28. Andrianov, I.V., Danishevs’kyy, V.V., “Nonlinear Normal Modes in the Theory of Shells Oscillations”, Proc. EUROMECH Coll. 457 Non Linear Modes of Vibrating Systems, June 7-9, 2004, Fréjus, France, S.Bellizzi, B.Cochelin & C.-H. Lamarque, Press of the ENTPE, Vaulx en Velin, 2004, p. 161-162 (2004), ISBN 2-86 834-119-5.
  29. Andrianov, I.V., “Artificial small parameters method”, APM 2004, Book of Abstracts, XXXII Summer School-Conference “Advanced Problems in Mechanics”, June 24-July 1, 2004, St.Petersburg (Repino), Russia, p. 20.
  30. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Asymptotic study of imperfect interfacial bonding in periodic composite materials”, ICTAM04 Abstract Book and CD-ROM Proceedings. IPPT PAN, Warszawa 2004, p. 298 (2004).
  31. Andrianov, I.V., Awrejcewicz, J., “Continuous modeling of discrete chain using two-points Padé approximation”, Synergies between Information Processing and Automation, 49. Internationales wissenschaftliches Kolloquium, 27-30-09.2004, Ilmenau, Germany, Conference Proceedings, v.1, p.464-465 (2004).
  32. Andrianov, I., Danishevs'kyy, V., Weichert, D., “Effective transport coefficients and local fields distributions in fibre-reinforced composite materials”, Abstracts of the GAMM'2005 Conference, Luxembourg, p.126 (2005).
  33. Andrianov, I., “Continuous models for discrete media for higher-frequency domain”, Book of Abstracts Annual Meeting 2006 GAMM, Berlin, 27th-31st March, p.293-294 (2006).
  34. Andrianov, I.V. “Construction of Nonlinear Normal Modes of Continuous Systems”, 2nd Conf. on Nonlinear Normal Modes and Localization in Vibrating Systems, June 19-23, 2006, Samos, Greece, Book of Abstracts, p.10 (2006).
  35. Andrianov, I., Bolshakov, V., Danishevs'kyy, V., Weichert, D., “An asymptotic approach for effective properties and micro-mechanical response of fibreous composites with interface”, 6th European Solid Mechanics Conference, Budapest, 28 August – 1 September 2006. CD (2006).
  36. Andrianov, I., “Wave propagation in 1D composite material – asymptotic analysis of dispersion equation”, Int. Conf. “Modern Analysis and Applications (MAA 2007)”, Odessa, Ukraine, April 9-14, 2007, Book of abstracts, Kyiv 2007, p. 9 (2007).
  37. Andrianov I.V., Danishevs’kyy V.V., Weichert D. Transport properties of a random composite material with cylindrical fibres. Proceedings 21st Canadian Congress of Applied Mechanics, 3-7 June 3007, Ryerson University, Toronto, Ontario, Canada, p. 380-381.
  38. Andrianov, I.V., Danishevs’kyy V.V., Weichert, D., “Load-transfer from a fibre to a half-space via an elastic coating for dilute and densely packed composites”, 20. Workshop Composite Forschung in der Mechanik. Funktional Gradierte Werkstoffe. 04.-05. Dezember 2007, Uni Paderborn, LTM, Liborianum, p. 8 (2007).
  39. Andrianov, I., Bolshakov, V., Danishevs'kyy, V., Weichert, D., “Weak and strong interfaces in conduction through periodic composite materials“, Fifteenth International Conference „Mechanics of Composite Materials“, May 26-30, 2008, Riga, Latvia. Book of Abstracts, pp. 30-31.
  40. Andrianov, I., Danishevs'kyy, V., Weichert, D., “Analytical determination of the effective properties of fibrous composite materials by using the homogenization approach“, Fifteenth International Conference „Mechanics of Composite Materials“, May 26-30, 2008, Riga, Latvia. Book of Abstracts, pp. 32-33.
  41. Andrianov, I., Topol, H., Weichert, D., “Analytical study of the viscoelastic fibre-reinforced composite materials”, 21. Workshop Composite-Forschung in der Mechanik. 01.12-03.12.2008, Bad Herrenalb, Uni Paderborn, LTM.
  42. Andrianov, I.V., Danishevs’kyy, V.V., Weichert, D., “Homotopy perturbation method and Padé approximants”, ESMC2009, Book of Abstracts, Lectures and General Sessions, Lisbon, 7-11 September 2009, p. 131 (2009).
  43. Andrianov, I.V, Danishevs’kyy, V.V., Weichert, D., “Wave propagation in periodic composites: homogenization, asymptotic solutions and plane-wave approaches”, EUROMECH Colloquium 503 “Nonlinear Normal Modes, Dimension Reduction and Localization in Vibrating Systems”, September 27 – October 2, 2009, Frascati (Rome), Italy, Booklet of Abstracts, 38-39 (2009).
  44. Andrianov, I.V., Olevs’kyy, V.I., “Critical re-examination of Adomian's decomposition and homotopy perturbation methods in nonlinear mechanics“, Proceedings of the 3rd International conference on Nonlinear Dynamics, 21-24.09 2010, Kharkov, NTU “Kharkov Politechnical Institute“), pp. 15-20 (2010).
  45. Kushnierov, I. Andrianov, V. Danishevs’kyy, D. Weichert, “Spatial localization of elastic waves in periodic composite structures with defects”, 82nd Annual Scientific Conference of the International Association of Applied Mathematics and Mechanics, Graz TU, April 18-21, 2011, Book of Abstracts, eds. Brenn G., Holzapfel G.A., Schanz M., Steinbach O., p. 293.
  46. Ryzhkov, I. Andrianov, V. Danishevs’kyy, D. Weichert, “Higher-order asymptotic homogenization and wave propagation in nonlinear composite materials ”, 82nd Annual Scientific Conference of the International Association of Applied Mathematics and Mechanics, Graz TU, April 18-21, 2011, Book of Abstracts, eds. Brenn G., Holzapfel G.A., Schanz M., Steinbach O., p.258.
  47. V. Andrianov, V.V. Danishevs’kyy, H.Topol, D. Weichert, “Localization of nonlinear elastic waves in 1D periodic composite material”, Booklet of Abstracts, Eds. D.Bernardini, G.Rega, F.Romeo, ENOC 2011, July 24-29, 2011, Rome, pp.11-12.
  48. V. Andrianov, V.V. Danishevs’kyy, O. I. Ryzhkov, D. Weichert, “Asymptotic homogenization and elastic waves in a nonlinear composite material”, Booklet of Abstracts, Eds. D.Bernardini, G.Rega, F.Romeo, ENOC 2011, July 24-29, 2011, Rome, p.11.
  49. V. Andrianov, V.V. Danishevs’kyy, O.I. Ryzhkov, D. Weichert, “Anti-plane shear waves in a structurally-nonlinear fibrous composite material”, Book of Abstracts, GAMM 83rd Annual Meeting, March 26-30, 2012, Darmstadt, p. 268.
  50. V. Andrianov, V.V. Danishevs’kyy, D. Weichert, “Linear and nonlinear waves in discrete structures: continualization and discrete effects”, ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012, Book of Abstracts, Eds. G.A. Holzapfel, R.W. Ogden.
  51. V. Andrianov, V.V. Danishevs’kyy, O.I. Ryzhkov, D. Weichert, “Elastic waves in a structurally-nonlinear fibrous composite material. 2D anti-plane shear problem”, ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012, Book of Abstracts, Eds. G.A. Holzapfel, R.W. Ogden.
  52. Porubov, I. Andrianov, D. Weichert, ”Localization of nonlinear strain waves in composites“,ESMC-2012 - 8th European Solid Mechanics Conference, Graz, Austria, July 9-13, 2012, Book of Abstracts, Eds. G.A. Holzapfel, R.W. Ogden.
  53. Andrianov, V.Danishevs’kyy, D. Weichert, “Spatial localization of waves in composite materials“, 38th Solid Mechanics Conference, August 26-31, 2012, Warsaw, Poland, Book of Abstracts, Eds. R. Pecherki, J. Rojek, P. Kowalczyk, IPPT PAN, pp. 226-227.
  54. Andrianov, V. Danishevs’kyy, D. Weichert, “Waves in composite materials: an interplay between nonlinearity and dispersion“, Advanced Modeling of Wave Propagation in Solids. Eds. R. Kolman, A. Berezovski, M. Okrouhlík, J. Plesek. Book of Abstracts EUROMECH Colloquium 540, Prague, Czech Republic, October 1-3, 2012, pp. 22-23.
  55. Andrianov, I.V., “ Analytical homogenization approach in the theory of plates and shells. SMT in MB 2013: Shell and Membrane Theories in Mechanics and Biology: from Macro- to Nanoscale Structures”, Proceedings, Sept. 16-20, 2013, Minsk, Belarus, pp. 12-14.
  56. Andrianov, I., Markert, B., Starushenko, G., „Linear and nonlinear waves in lattice structures: continualization and discrete effects“, 8th European Nonlinear Dynamics Conference, July 6-11, 2014, Vienna, Austria, Vienna University of Technology, Book of Abstract, p. 114 (2014).
  57. Andrianov, I.V., Danishevskyy, V.V., Markert, B., “Internal resonances in vobrations of microstructured solids: influence of dispersion and dissipation“, Book of Abstracts, 4th ICOVIS, July 30 – August 3, Kassel, Germany, p. 65 (2018).
  58. Andrianov I.I., Andrianov I.V., Awrejcewicz J. ASYMPTOTIC SYMPLIFICATION OF NONLINEAR 1 1D PROBLEMS FOR THIN-WALLED STRUCTURES. ICoNSoM2019 International Conference on Nonlinear Solid Mechanics 16-19 June 2019, Roma, Italy. ABSTRACT BOOK, p.93.
  59. Andrianov I.V., Danishevskyy V.V., Markert B. Low and high frequency dynamic models and modes coupling in vibration of a non-linear lattice. 15th INTERNATIONAL CONFERENCE Dynamical Systems — Theory and Applications December 2-5, 2019. Lodz, POLAND, Abstracts, Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P., 128.
  60. Andrianov I.V., Awrejcewicz J., van Horssen W.T. Bolotin’s reduce beam model for various boundary conditions. 15th INTERNATIONAL CONFERENCE Dynamical Systems — Theory and Applications December 2-5, 2019. Lodz, POLAND, Abstracts, Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P., 129.
  61. Andrianov I., Awrejcewicz J., Starushenko G., Kvitka S. Thermal waves in composite membrane with circular inclusions in hexagonal lattice structures. 16th INTERNATIONAL CONFERENCE Dynamical Systems - Theory and Applications. Lodz, December 6-9, 2021. Abstracts, Eds. Awrejcewicz, J., Kazmierczak, M., Mrozowski, J. Olejnik, P., 491-492.

 


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Alexey Andrianov © 2002-23
Vlad Danishevskiy © 2000-01
  Andrianov, I.V., Barantsev, R.G., Manevitch, L.I., "Asymptotical Mathematics and Synergetics: the Way to the Integral Symplicity", Moscow, Editorial URSS, 2004, 304p. (in Russ.), ISBN .
Andrianov, I.V., Barantsev, R.G., Manevitch, L.I., "Asymptotic Mathematics and Synergetic – a Way to Holistic Simplicity", Moscow, Editorial URSS, 2004, 304p. (in Russ.), ISBN 5-354-00349-0.
View or buy this book on Editorial URSS web-site.

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Andrianov, I.V., Awrejcewicz, J., Manevitch, L.I., “Asymptotical Mechanics of Thin-Walled Structures: A Handbook”, Springer-Verlag, Berlin, Heidelberg, 2004, 535 p., ISBN 3-540-40876-2.
View or buy this book on Springer web-site.

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Andrianov, I.V., Manevitch, L.I., Asymptotology: Ideas, Methods, and Applications, Dordrecht, Boston, London, Kluwer Academic Publishers, 2002, 252 p., ISBN 1-4020-0960-7.
View or buy this book on Kluwer web-site.

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Manevitch, L.I., Andrianov, I.V., Oshmyan, V.O., “Mechanics of Periodically Heterogeneous Structures”, Berlin, Heidelberg, Springer-Verlag, 2002, 264 p., ISBN 3-540-41630-7.
View or buy this book on Springer web-site.

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Awrejcewicz, J., Andrianov, I.V., Manevitch, L.I., "Asymptotic Approaches in the Nonlinear Dynamics: New Trends and Applications", Springer-Verlag, Berlin, Heidelberg, 1998, 310 p., ISBN 3-540-63894-6.
View or buy this book on Springer web-site.

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Andrianov, I.V., Manevitch, L.I., "Asymptotology: Ideas, Methods, Results", Moscow, Aslan, 1994, 159 p. (in Russ.)., ISBN 5-87793-010-9.

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Obraztsov, I.F., Nerubaylo, B.V., Andrianov, I.V., "Asymptotic Methods in the Structural Mechanies of Thin-Walled Structures", Moscow, Mashinostroyenie, 1991, 416 p. (in Russ.)., ISBN 5-217-010066-5.

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Andrianov, I.V., Manevitch, L.I., "Asymptotic Methods and Physical Theories", Moscow, Znanie, 1989, 61 p. (in Russ.)., ISBN 5-07-000314-3.

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Andrianov, I.V., Lesnichaya, V.A., Manevitch, L.I., "Homogenization Methods in Statics and Dynamics of Ribbed Shells", Moscow, Nauka, 1985, 221 p. (in Russ.).