Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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K. F. Chernykh, "Anisotropic nonlinear elasticity," Mech. Solids. 39 (1), 1-13 (2004)
Year 2004 Volume 39 Number 1 Pages 1-13
Title Anisotropic nonlinear elasticity
Author(s) K. F. Chernykh (St. Petersburg)
Abstract When constructing a possibly simplest version of the theory of elasticity (but with no loss of generality), the major difficulty is to take into account nonlinearities and anisotropy. In [1], we have considered orthotropic and transversely-anisotropic materials. Here, we consider the general case of anisotropy (crystals, textures, orthotropic and transversely-anisotropic materials). We use the reduced standard material and low-compressibility material models which allow us to obtain exact solutions of anisotropic nonlinear boundary value problems.
References
1.  K. F. Chernykh, Nonlinear Singular Elasticity. Part 1. Theory [in Russian], Izd-vo SPbGU, St. Petersburg, 1999.
2.  K. F. Chernykh, Nonlinear Elasticity in Engineering [in Russian], Mashinostroenie, Leningrad, 1986.
3.  K. F. Chernykh, Introduction to Anisotropic Elasticity [in Russian], Nauka, Moscow, 1996.
4.  K. F. Chernykh, Introduction to Physically and Geometrically Nonlinear Theory of Cracks [in Russian], Nauka, Moscow, 1996.
5.  K. F. Chernykh, An Introduction to Modern Anisotropic Elasticity, Begell Publ. House, N. Y., 1998.
6.  K. F. Chernykh, Nonlinear Singular Elasticity. Part 2. Applications [in Russian], Izd-vo SPbGU, St. Petersburg, 2000.
7.  C. Teodosiu, Elastic Models of Crystal Defects [Russian translation], Mir, Moscow, 1985.
Received 06 June 2001
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