Igor V. Andrianov
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Articles in Scholarly Journals [Incomplete List]
- Simple estimation on effective transport properties of a random composite material with cylindrical fibres
Zeitschrift für angewandte Mathematik und Physik, 2008 - Load-transfer from fibre to anisotropic half-space for dilute composites
Acta Mechanica, 2008 - 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 - Continuous models for 2D discrete media valid for higher-frequency domain
Computers & Structures, vol. 86, no. 1-2, pp. 140–144, 2008 - 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 - On the transversal vibrations of a conveyor belt: Applicability of simplified models
Journal of Sound and Vibration, 2008 - 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 - 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 - Asymptotic Solution of the Theory of Shells Boundary Value Problem
Mathematical Problems in Engineering, vol. 2007, Article ID 82348, 25 pages, 2007 - Asymptotic simulation of imperfect bonding in periodic fibre-reinforced composite materials under axial shear
International Journal of Mechanical Sciences, 2007 - Asymptotic justification of the three-phase composite model
Composite Structures, vol. 77, no. 3, pp. 395–404, 2007 - Asymptotic construction of nonlinear normal modes for continuous systems
Nonlinear Dynamics, 2007 - On the improved Kirchhoff equation modelling nonlinear vibrations of beams
Acta Mechanica, vol. 186, no. 1-4, pp. 135–139, 2006 - Buckling analysis of discretely stringer-stiffened cylindrical shells
International Journal of Mechanical Sciences, vol. 48, no. 12, pp. 1505–1515, 2006 - Dynamics of a string moving with time-varying speed
Journal of Sound and Vibration, vol. 292, no. 3-5, pp. 935–940, 2006 - 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 - Homogenization of Quasi-Periodic Structures
Journal of Vibration and Acoustics, vol. 128, no. 4, p. 532, 2006 - 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 - On an elastic dissipation model as continuous approximation for discrete media
Mathematical Problems in Engineering, vol. 2006, Article ID 27373, 8 pages, 2006 - Dynamics of a reinforced viscoelastic plate
Mathematical Problems in Engineering, vol. 2006, Article ID 89675, 8 pages, 2006 - Artificial small parameter method—solving mixed boundary value problems
Mathematical Problems in Engineering, vol. 2005, no. 3, pp. 325–340, 2005 - Continuous models for 1D discrete media valid for higher-frequency domain
Physics Letters A, vol. 345, no. 1-3, pp. 55–62, 2005 - An artificial small perturbation parameter and nonlinear plate vibrations
Journal of Sound and Vibration, vol. 283, no. 3-5, pp. 561–571, 2005 - 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 - Continuous models for chain of inertially linked masses
European Journal of Mechanics - A/Solids, vol. 24, no. 3, pp. 532–536, 2005 - 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 - Asymptotic-group analysis of algebraic equations
Mathematical Problems in Engineering, vol. 2004, no. 5, pp. 411–451, 2004 - Asymptotic approaches in mechanics: New parameters and procedures
Applied Mechanics Reviews, vol. 56, no. 1, p. 87, 2003 - Asymptotic Approaches to Strongly Non-linear Dynamical Systems
Systems Analysis Modelling Simulation, vol. 43, no. 3, pp. 255–268, 2003 - Quasifractional approximants for matching small and large d approaches
Physics Letters A, vol. 319, no. 1-2, pp. 53–59, 2003 - Simplified formula for the vibration frequency of circular cylinders
Journal of Sound and Vibration, vol. 262, no. 1, pp. 198–200, 2003 - Analysis of jump phenomena using Padé approximations
Journal of Sound and Vibration, vol. 260, no. 3, pp. 577–588, 2003 - On the average continuous representation of an elastic discrete medium
Journal of Sound and Vibration, vol. 264, no. 5, pp. 1187–1194, 2003 - Homogenization of a waffle membrane
Journal of Sound and Vibration, vol. 264, no. 3, pp. 746–750, 2003 - Dynamics of folded shells
Journal of Sound and Vibration, vol. 265, no. 3, pp. 689–692, 2003 - 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 - 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 - 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 - 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 - International Applied Mechanics, vol. 37, no. 11, pp. 1480–1486, 2001
- ITERATIVE DETERMINATION OF HOMOCLINIC ORBIT PARAMETERS AND PADÉ APPROXIMANTS
Journal of Sound and Vibration, vol. 240, no. 2, pp. 394–397, 2001 - 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 - 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 - 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 - Acta Applicandae Mathematicae, vol. 61, no. 1/3, pp. 29–35, 2000
- Nonlinear Dynamics, vol. 23, no. 1, pp. 57–66, 2000
- Nonlinear Dynamics, vol. 20, no. 2, pp. 99–114, 1999
- 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 - 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 - Asymptotic determination of the effective thermal conductivity of a pile field
Soil Mechanics and Foundation Engineering, vol. 36, no. 1, pp. 31–36, 1999 - A modified Adomian's decomposition method
Journal of Applied Mathematics and Mechanics, vol. 62, no. 2, pp. 309–314, 1998 - 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 - An asymptotic investigation of the dynamics of eccentrically reinforced plates
Journal of Applied Mathematics and Mechanics, vol. 61, no. 2, pp. 329–331, 1997 - Nonlinear Dynamics, vol. 13, no. 4, pp. 327–338, 1997
- Torsional rigidity of ribs for a reinforced structure
International Applied Mechanics, vol. 32, no. 3, pp. 205–209, 1996 - 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 - On the theory of berger plates
Journal of Applied Mathematics and Mechanics, vol. 47, no. 1, pp. 142–144, 1983