Igor V. Andrianov

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Articles in Scholarly Journals [Incomplete List]

  1. Simple estimation on effective transport properties of a random composite material with cylindrical fibres
    Zeitschrift für angewandte Mathematik und Physik, 2008
  2. Load-transfer from fibre to anisotropic half-space for dilute composites
    Acta Mechanica, 2008
  3. Micromechanical analysis of fiber-reinforced composites on account of influence of fiber coatings
    Composites Part B: Engineering, vol. 39, no. 5, pp. 874–881, 2008
  4. Continuous models for 2D discrete media valid for higher-frequency domain
    Computers & Structures, vol. 86, no. 1-2, pp. 140–144, 2008
  5. Analytical study of the load transfer in fibre-reinforced 2D composite materials
    International Journal of Solids and Structures, vol. 45, no. 5, pp. 1217–1243, 2008
  6. On the transversal vibrations of a conveyor belt: Applicability of simplified models
    Journal of Sound and Vibration, 2008
  7. Higher order asymptotic homogenization and wave propagation in periodic composite materials
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 464, no. 2093, pp. 1181–1201, 2008
  8. On the absence of the Eshelby property for slender non-ellipsoidal inhomogeneities
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 464, no. 2093, pp. 1079–1088, 2008
  9. Asymptotic Solution of the Theory of Shells Boundary Value Problem
    Mathematical Problems in Engineering, vol. 2007, Article ID 82348, 25 pages, 2007
  10. Asymptotic simulation of imperfect bonding in periodic fibre-reinforced composite materials under axial shear
    International Journal of Mechanical Sciences, 2007
  11. Asymptotic justification of the three-phase composite model
    Composite Structures, vol. 77, no. 3, pp. 395–404, 2007
  12. Asymptotic construction of nonlinear normal modes for continuous systems
    Nonlinear Dynamics, 2007
  13. On the improved Kirchhoff equation modelling nonlinear vibrations of beams
    Acta Mechanica, vol. 186, no. 1-4, pp. 135–139, 2006
  14. Buckling analysis of discretely stringer-stiffened cylindrical shells
    International Journal of Mechanical Sciences, vol. 48, no. 12, pp. 1505–1515, 2006
  15. Dynamics of a string moving with time-varying speed
    Journal of Sound and Vibration, vol. 292, no. 3-5, pp. 935–940, 2006
  16. Analytical approximations of the period of a generalized nonlinear van der Pol oscillator
    Journal of Sound and Vibration, vol. 295, no. 3-5, pp. 1099–1104, 2006
  17. Homogenization of Quasi-Periodic Structures
    Journal of Vibration and Acoustics, vol. 128, no. 4, p. 532, 2006
  18. Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach
    Mathematical Problems in Engineering, vol. 2006, Article ID 20598, 8 pages, 2006
  19. On an elastic dissipation model as continuous approximation for discrete media
    Mathematical Problems in Engineering, vol. 2006, Article ID 27373, 8 pages, 2006
  20. Dynamics of a reinforced viscoelastic plate
    Mathematical Problems in Engineering, vol. 2006, Article ID 89675, 8 pages, 2006
  21. Artificial small parameter method—solving mixed boundary value problems
    Mathematical Problems in Engineering, vol. 2005, no. 3, pp. 325–340, 2005
  22. Continuous models for 1D discrete media valid for higher-frequency domain
    Physics Letters A, vol. 345, no. 1-3, pp. 55–62, 2005
  23. An artificial small perturbation parameter and nonlinear plate vibrations
    Journal of Sound and Vibration, vol. 283, no. 3-5, pp. 561–571, 2005
  24. Applicability of the Kirchhoff approach to the theory of vibrations of rods
    Journal of Sound and Vibration, vol. 288, no. 1-2, pp. 395–398, 2005
  25. Continuous models for chain of inertially linked masses
    European Journal of Mechanics - A/Solids, vol. 24, no. 3, pp. 532–536, 2005
  26. Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear
    European Journal of Mechanics - A/Solids, vol. 24, no. 2, pp. 195–206, 2005
  27. Asymptotic-group analysis of algebraic equations
    Mathematical Problems in Engineering, vol. 2004, no. 5, pp. 411–451, 2004
  28. Asymptotic approaches in mechanics: New parameters and procedures
    Applied Mechanics Reviews, vol. 56, no. 1, p. 87, 2003
  29. Asymptotic Approaches to Strongly Non-linear Dynamical Systems
    Systems Analysis Modelling Simulation, vol. 43, no. 3, pp. 255–268, 2003
  30. Quasifractional approximants for matching small and large d approaches
    Physics Letters A, vol. 319, no. 1-2, pp. 53–59, 2003
  31. Simplified formula for the vibration frequency of circular cylinders
    Journal of Sound and Vibration, vol. 262, no. 1, pp. 198–200, 2003
  32. Analysis of jump phenomena using Padé approximations
    Journal of Sound and Vibration, vol. 260, no. 3, pp. 577–588, 2003
  33. On the average continuous representation of an elastic discrete medium
    Journal of Sound and Vibration, vol. 264, no. 5, pp. 1187–1194, 2003
  34. Homogenization of a waffle membrane
    Journal of Sound and Vibration, vol. 264, no. 3, pp. 746–750, 2003
  35. Dynamics of folded shells
    Journal of Sound and Vibration, vol. 265, no. 3, pp. 689–692, 2003
  36. Asymptotical behaviour of a system with damping and high power-form non-linearity
    Journal of Sound and Vibration, vol. 267, no. 5, pp. 1169–1174, 2003
  37. The specific features of the limiting transition from a discrete elastic medium to a continuous one
    Journal of Applied Mathematics and Mechanics, vol. 66, no. 2, pp. 261–265, 2002
  38. OSCILLATIONS OF NON-LINEAR SYSTEM WITH RESTORING FORCE CLOSE TO SIGN(X)
    Journal of Sound and Vibration, vol. 252, no. 5, pp. 962–966, 2002
  39. Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions
    European Journal of Mechanics - A/Solids, vol. 21, no. 6, pp. 1019–1036, 2002
  40. International Applied Mechanics, vol. 37, no. 11, pp. 1480–1486, 2001
  41. ITERATIVE DETERMINATION OF HOMOCLINIC ORBIT PARAMETERS AND PADÉ APPROXIMANTS
    Journal of Sound and Vibration, vol. 240, no. 2, pp. 394–397, 2001
  42. Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites
    International Journal of Non-Linear Mechanics, vol. 36, no. 1, pp. 187–195, 2001
  43. An asymptotic analysis of the stress—strain state of a strip reinforced with ribs
    Journal of Applied Mathematics and Mechanics, vol. 65, no. 1, pp. 119–124, 2001
  44. Asymptotic study of geometrically non-linear elastic strip with regular system of fibres
    European Journal of Mechanics - A/Solids, vol. 19, no. 4, pp. 689–698, 2000
  45. Acta Applicandae Mathematicae, vol. 61, no. 1/3, pp. 29–35, 2000
  46. Nonlinear Dynamics, vol. 23, no. 1, pp. 57–66, 2000
  47. Nonlinear Dynamics, vol. 20, no. 2, pp. 99–114, 1999
  48. Homogenization procedure and Pad approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 455, no. 1989, pp. 3401–3413, 1999
  49. Selective excitation of the vibrational-rotational states and dissociation of diatomic molecules by picosecond infrared laser pulses: Modeling for HF in the ground electronic state
    Physical Review A, vol. 59, no. 3, pp. 2134–2138, 1999
  50. Asymptotic determination of the effective thermal conductivity of a pile field
    Soil Mechanics and Foundation Engineering, vol. 36, no. 1, pp. 31–36, 1999
  51. A modified Adomian's decomposition method
    Journal of Applied Mathematics and Mechanics, vol. 62, no. 2, pp. 309–314, 1998
  52. Homogenization procedure and Pade approximations in the theory of composite materials with parallelepiped inclusions
    International Journal of Heat and Mass Transfer, vol. 41, no. 1, pp. 175–181, 1998
  53. An asymptotic investigation of the dynamics of eccentrically reinforced plates
    Journal of Applied Mathematics and Mechanics, vol. 61, no. 2, pp. 329–331, 1997
  54. Nonlinear Dynamics, vol. 13, no. 4, pp. 327–338, 1997
  55. Torsional rigidity of ribs for a reinforced structure
    International Applied Mechanics, vol. 32, no. 3, pp. 205–209, 1996
  56. Construction of simplified equations of non-linear dynamics of plates and shallow shells by the averaging method
    Journal of Applied Mathematics and Mechanics, vol. 50, no. 1, pp. 126–129, 1986
  57. On the theory of berger plates
    Journal of Applied Mathematics and Mechanics, vol. 47, no. 1, pp. 142–144, 1983