Igor Andrianov
Selected publications

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Here the list of selected publications is given. It includes some of my Monographs (15 books), some Peer-reviewed Papers (about 190), 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 2010: 00, 01, 34, 35, 37, 40, 41, 74

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

This page was updated: December 2015


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., Danishevskyy V.V. Asymptotic Methods for Calculation of Composite Materials with Microstructure. Dnipropetrovsk: Porogi, 2008 (in Russian), ISBN 978-966-525-935-0. [download, djvu]
  13. Andrianov I.V., Danishevskyy V.V., Ivankov A.O. Asymptotic Methods in the Theory of Beams and Plates Oscillations. Dnipropetrovsk: 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., Danishevskyy, 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.

Peer-reviewed papers  [Back to top]

  1. 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)).
  2. 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)).
  3. 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)).
  4. 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)).
  5. 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.).
  6. 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)).
  7. Andrianov, I.V., "The use of Padй 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)).
  8. 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)).
  9. Andrianov, I.V., Pasechnik, A.N., "Composite 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)).
  10. 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, vol. 27, No 3, pp. 468-472 (1986)).
  11. Andrianov, I.V., Ivankov, A.O., "Application of the Pade' approximant in the method of introducing a parameter when 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.: U.S.S.R. Comp. Math. and Math. Phys., vol. 27, No 1, pp. 193-196 (1987)).
  12. 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.: Journal of Soviet Mathematics, vol. 63, No 5, pp. 532-534 (1993)).
  13. 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)).
  14. 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)).
  15. 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)).
  16. 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).
  17. 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)).
  18. 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)).
  19. 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)).
  20. 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.).
  21. 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)).
  22. Andrianov, I.V., Obraztsov, I.F., Nerubaylo, B.V., "Continuum 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.: Sov. Physics-Doklady, vol. 36, No 7, p. 522 (1991)).
  23. Andrianov, I.V., "Application of Padй-approximants in perturbation methods", Advances in Mechanics, vol. 14, No 2, pp. 3-25 (1991).
  24. Andrianov, I.V., "Laplace transform inverse problem: application of two-point Pade' approximant", Appl. Math. Letters, vol. 5, No 4, pp. 3-5 (1992).
  25. Andrianov, I.V., Manevitch, L.I., "Asymptotology: Problems, ideas and results", J. Natural Geometry, vol. 2, No 2, pp. 137-150 (1992).
  26. 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, Birkhдuser, Basel, pp. 39-45 (1992).
  27. 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)).
  28. 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)).
  29. Andrianov, I.V., "A new asymptotic method of integration the equations of quantum mechanics for strong coupling", Doklady Akademii Nauk USSR, vol. 328, No 5, pp. 557-558 (1993) (Engl. cover-to-cover transl.: Physics-Doklady, vol. 38, No 2, pp. 56-57 (1993)).
  30. 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)).
  31. 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).
  32. 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).
  33. 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).
  34. 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).
  35. Andrianov, I.V., "Two-point Pade' approximants in the Mechanics of Solids", ZAMM, vol.74, No 4, pp. 121-122 (1994).
  36. Tokarzewski, S., Blawzdziewicz, J., Andrianov, I., "Effective conductivity for densely parked highly condenced cylinders", Appl. Physics A, vol. 59, pp. 601-604 (1994).
  37. 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).
  38. 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).
  39. Tokarzewski, S., Blawzdziewicz, J., Andrianov, I., "Two-point Pade' approximants for Stieltjes series", Numerical Algorithms, vol. 8, pp. 313-329 (1994).
  40. 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)).
  41. 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.: Physics-Doklady, vol. 40, No 9, pp.485-486 (1995)).
  42. 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)).
  43. 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).
  44. 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).
  45. Andrianov, I.V., Kholod, E.G., "Bolotin's asymptotic method for nonlinear free vibration of shells", SAMS, vol. 18-19, pp. 211-213 (1995).
  46. 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).
  47. 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).
  48. 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).
  49. 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)).
  50. Andrianov, I., Bulanova, N., Lagoshny, A., "Asymptotic and Padй approximants methods in the theory of reinforced plates and shells", Technische Mechanik, vol. 17, No 3, pp. 193-196 (1997).
  51. Emachi, E., Vakakis, A.F., Andrianov, I.V., Mikhlin, Yu. V., "Study of two-dimensional axisymmetric breathers using Padй approximants", Nonlinear Dynamics, vol. 13, pp. 327-338 (1997).
  52. 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).
  53. 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).
  54. Andrianov, I., Tokarzewski, S., Mikhlin, Yu., "Two-point Padй approximants and their applications to solving mechanical problems", J. Theoretical and Applied Mechanics, vol. 35, No 3, pp. 577-606 (1997).
  55. 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)).
  56. Andrianov, I.V., "A new asymptotic method of calculation stiffned constructions with allowance for the discrete arrangement and for the width of ribs," Doklady RAN, vol. 352, No 4, pp. 474-476 (1997) (Engl. cover-to-cover transl.: Physics – Doklady, vol. 42, No 2, pp. 84-86 (1997)).
  57. 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)).
  58. 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)).
  59. Andrianov, I., Starushenko, G., Tokarzewski, S., "Homogenization procedure and Padй approximation in the theory of composite materials", Int. J. Heat Mass Transfer, vol. 41, No 1, pp. 175-181 (1998).
  60. 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).
  61. 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).
  62. 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)).
  63. Andrianov, I.V., Starushenko, G.A., Danishevskiy, V.V., Tokarzewski, S., "Homogenization procedure and Padй 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). [Download]
  64. 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)).
  65. 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)).
  66. 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).
  67. 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). [Download]
  68. 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).
  69. 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).
  70. Andrianov, I.V., Awrejcewicz, J., “Asymptotics for strongly nonlinear systems”, ZAMM, vol. 80, pp. 265-266 (2000).
  71. Andrianov, I., Danishevs’kyy, V., Tokarzewski S., " Quasifractional approximants in the theory of composite materials”, Acta Applicandae Mathematicae, vol. 61, pp. 29-35 (2000).
  72. 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).
  73. 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)).
  74. 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).
  75. 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.).
  76. 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).
  77. 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).
  78. 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).
  79. 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).
  80. Andrianov, I.V., Awrejcewicz, J., “Iterative determination of homoclinic orbit parameters and Padй approximants”, J. Sound Vibr., vol. 240, No 2, pp. 394-397 (2001).
  81. Andrianov, I.V., Awrejcewicz, J., “Solutions in the Fourier series form, Gibbs phenomena and Padй approximants”, J. Sound Vibr., vol. 245, No 4, pp. 753-756 (2001).
  82. 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).
  83. 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)).
  84. Andrianov, I.V., Awrejcewicz, J., “Asymptotic approaches to simplified boundary value problems of non-linear dynamics”, Nonlinear Analysis, vol. 47, pp.2261-2269 (2001).
  85. Tokarzewski, S., Andrianov, I., Danishevsky, V., Starushenko, G., “Analytical continuation of asymptotic expansions of effective transport coefficients by Padй approximants”, Nonlinear Analysis, vol. 47, pp.2283-2292 (2001).
  86. 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).
  87. 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)).
  88. 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)).
  89. 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)).
  90. 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).
  91. 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).
  92. 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).
  93. 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)).
  94. 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).
  95. Andrianov, I.V., Awrejcewicz, J., "Averaging in theory of waffle plates and shells", Machine Dynamics Problems, vol. 26, No 1, pp. 5-10 (2002).
  96. 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).
  97. Andrianov, I.V., Awrejcewicz, J., “Analysis of jump phenomena using Padй approximations”, J. Sound Vibr., vol. 260, No 3, pp. 577-588 (2003).
  98. 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).
  99. Andrianov, I.V., Awrejcewicz, J., “Simplified formula for vibration frequency of circular cylinders”, J. Sound Vibr., vol. 262, No 1, pp. 198-200 (2003).
  100. Andrianov, I.V., Awrejcewicz, J., “Homogenization of a waffle membrane”, J. Sound Vibr., vol. 264, No 3, pp. 746-750 (2003).
  101. 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).
  102. 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).
  103. Andrianov, I.V., Awrejcewicz, J., “Dynamics of folded shells”, J. Sound Vibr., vol. 265, No 3, pp. 689-692 (2003).
  104. 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).
  105. 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).
  106. 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).
  107. 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).
  108. 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).
  109. 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).
  110. Shamrovskyy, A.D., Andrianov, I.V., Awrejcewicz, J., “Asymptotic-group analysis of algebraic equations”, Mathematical Problems in Engineering, No 5, pp. 411-451 (2004).
  111. 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).
  112. 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).
  113. 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).
  114. 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).
  115. 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).
  116. 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).
  117. 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).
  118. 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).
  119. 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).
  120. 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).
  121. 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).
  122. 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).
  123. 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).
  124. 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).
  125. 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).
  126. 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).
  127. Andrianov, I.V., Bolshakov, V.I., Danishevs’kyy, 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.
  128. 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).
  129. Andrianov, I.V., “Asymptotic construction of nonlinear normal modes for continuous systems ", Nonlinear Dynamics, vol. 51, No Ѕ, pp. 99-109 (2008).
  130. 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, vol. 45, pp. 1217 – 1243 (2008).
  131. 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).
  132. 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).
  133. 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).
  134. Andrianov, I.V., Danishevs’kyy, V.V., Kalamkarov, A.L., “Micromechanical analysisi of fibre-reinforced composites on account of influence of fibre coating”,
     Composites: Part B Engineering, vol. 39, pp. 874-881 (2008).
  135. Andrianov, I.V., Awrejcewicz, J., “Homogenization of rods and plates with weakenings”, Mechanics Research Communications, vol. 35, pp. 372-378 (2008).
  136. Andrianov, I.V., Starushenko, G.A., “Asymptotic analysis of strongly anisotropic solids”, Technische Mechanik, vol. 28, No 2, pp. 121-125 (2008).
  137. 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).
  138. 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).
  139. 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).
  140. Kalamkarov, A.L., Andrianov, I.V., Danishevskyy, V.V., "Asymptotic homogenization of composite materials and structures, Appl. Mech. Rev., vol. 62, No 3, pp. 030802-1 - 030802-20 (2009).
  141. 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).
  142. Andrianov, I.V., Awrejcewicz, J., Weichert, D., Improved continuous models for discrete media, Mathematical Problems in Engineering, article ID 986242, 35 p. (2010).
  143. Andrianov, I.V., Danishevskyy, V.V., Weichert, D., Load-transfer from fibres to transversally isotropic layer for non-dilute composites, Acta Mechanica, vol. 212, pp. 115-122 (2010).
  144. Andrianov, I.V., Danishevskyy, 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).
  145. Andrianov, I.V., Bolshakov, V.I., Danishevskyy, V.V., Weichert, D., Asymptotic study of imperfect interfaces in conduction through a granular composite material, Proceedings of the Royal Society A, vol. 466, pp. 2707-2725 (2010).
  146. Andrianov, I., Asymptotic and numerical modelling of composite materials, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 819-820 (2010).
  147. Andrianov, I.V., Danishevskyy, V.V., Topol, H., Weichert, D., Nonlinear dynamic properties of layered composite materials, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 821-824 (2010).
  148. Andrianov, I.V., Danishevskyy, 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, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 825-828 (2010).
  149. Andrianov, I.V., Danishevskyy, V.V., Kirichek, O.U., Effective properties of viscoelastic fibre composites, AIP CP1281, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2010, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 829-832 (2010).
  150. 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).
  151. Andrianov, I.V., Danishevskyy, V.V., Weichert, D., Continuous model of 2D discrete media based on composite equations, Acoustical Physics, vol. 56, No 6, pp. 807810 (2010).
  152. 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. 18371848 (2011).
  153. Andrianov, I.V., Awrejcewicz, J., Danishevskyy, 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).
  154. Andrianov, I.V., Danishevskyy, V.V., Weichert, D., Boundary layers in fibrous composite materials, Acta Mechanica, vol. 216, pp. 3-15 (2011).
  155. 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).
  156. Andrianov, I.V., Kirichek, Yu.A., Awrejcewicz, J., Modified Muravskii model for elastic foundations, Acta Mechanica Sinica, vol. 27, No1, pp. 68-71 (2011).
  157. 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).
  158. Andrianov, I.V., Danishevskyy, 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).
  159. Andrianov, I., Symposium on nonlinear waves in heterogeneous media, AIP CP1389, ICNAAM, Numerical Analysis and Applied Mathematics, International Conference 2011, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 437 (2011).
  160. Andrianov, I., Danishevskyy, 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, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 438-441 (2011).
  161. 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, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 442-445 (2011).
  162. Andrianov, I., Danishevskyy, 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, eds. T. E. Simos, G. Psihoyios, and Ch. Tsitouras, pp. 446-450 (2011).
  163. 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).
  164. Andrianov, I.V., Danishevskyy, V.V., Weichert, D.,Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement, Archive of Applied Mechanics, vol. 81, pp. 1903-1913 (2011).
  165. Andrianov, I.V., Danishevskyy, 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. 298310 (2012).
  166. Andrianov, I.V., Danishevskyy, 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. 311317 (2012).
  167. Kalamkarov, A.L., Andrianov, I.V., Weichert, D., Asymptotic analysis of perforated shallow shells, International Journal of Engineering Science, vol. 53, pp. 118 (2012).
  168. Andrianov, I.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).
  169. 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).
  170. Andrianov, I.V., Danishevskyy, V.V., Kholod, E.G., Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section, Acta Mechanika, vol.223, pp. 1093-1100 (2012).
  171. Porubov, A.V., Andrianov, I.V., Danishevskyy, V.V., Nonlinear strain wave localization in periodic composites, International Journal of Solids and Structures, vol. 49, pp. 33813387 (2012).
  172. Andrianov, I.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).
  173. Andrianov, I.V., Kalamkarov, A.L., Starushenko, G.A., Three-phase model for a fiber-reinforced composite material, Composite Structures, vol. 95, pp. 95104 (2013).
  174. 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).
  175. Andrianov, I.V., Awrejcewicz, J., Starushenko, G.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).
  176. 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).
  177. Andrianov, I., Danishevskyy, V., Ryzhkov, O., Weichert, D., Dynamic homogenization and wave propagation in a nonlinear 1D composite material, Wave Motion, vol. 50, pp. 271-281 (2013).
  178. Andrianov, I.V., Kalamkarov, A.L., Starushenko, G.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).
  179. Andrianov, I.V., Danishevskyy, 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).
  180. Andrianov, I., Olevskyy, 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).
  181. Porubov, A.V., Andrianov, I.V., Nonlinear waves in diatomic crystals, Wave Motion, vol. 50, pp. 11531160 (2013).
  182. 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. 154177 (2014).
  183. 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. 178119 (2014).
  184. Andrianov, I.V., Danishevskyy, V.V., Ryzhkov, O.I., Weichert, D., Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material, Wave Motion, vol. 51, pp. 405417 (2014).
  185. Kolpakov, A.L., Andrianov, I.V., Asymptotic decomposition in the problem of joined elastic beams, ZAMM, vol. 94 (10), pp. 818-836 (2014).
  186. Andrianov, I.V., Danishevskyy, V.V., Kushnierov, Ie.A., Spatial localization of linear elastic waves in composite materials with defects, ZAMM, vol. 94, pp. 10011010 (2014).
  187. 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).
  188. 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).
  189. Andrianov, I.V., Danishevskyy, 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).
  190. 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, 349355 (2015).
  191. 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).
  192. Kolpakov, A.G., Andrianov, I.V., Markert, B., Asymptotic decomposition in the problem of joined elastic plates, ZAMM, vol. 95, No 11, 12681281 (2015).

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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.
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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.).