| | 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 |
Archive of Issues
Total articles in the database: | | 12854 |
In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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In English (Mech. Solids): | | 4810 |
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<< Previous article | Volume 39, Issue 1 / 2004 | Next article >> |
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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