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A Journal of Russian Academy of Sciences
 Founded
in January 1966
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Print ISSN 0025-6544
Online ISSN 1934-7936

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K. F. Chernykh, "Non-traditional boundary conditions (plane problem of nonlinear elasticity)," Mech. Solids. 37 (4), 1-9 (2002)
Year 2002 Volume 37 Number 4 Pages 1-9
Title Non-traditional boundary conditions (plane problem of nonlinear elasticity)
Author(s) K. F. Chernykh (St. Petersburg)
Abstract Non-traditional boundary and matching conditions, including distortion, rigid-edge, follower-loading, strain, slipping-interface, and thermodynamic ones, are considered. This consideration is confined to the generalized plane problem treated in the complex form.
References
1.  K. F. Chernykh, Nonlinear Elasticity for Machine Design [in Russian], Mashinostroenie, Leningrad, 1986.
2.  K. F. Chernykh, An Introduction to Anisotropic Elasticity [in Russian], Nauka, Moscow, 1988.
3.  K. F. Chernykh, An Introduction to Physically and Geometrically Nonlinear Crack Theory [in Russian], Nauka, Moscow, 1996.
5.  K. F. Chernykh, An Introduction to Modern Anisotropic Elasticity, Begell Publishing House, NY, 1998.
6.  K. F. Chernykh, Nonlinear Singular Elasticity: Part 1. Theory [in Russian], Izd-vo SPbGU, St. Petersburg, 1999.
7.  K. F. Chernykh, Nonlinear Singular Elasticity: Part 2. Applications [in Russian], Izd-vo SPbGU, St. Petersburg, 1999.
8.  V. V. Novozhilov and K. F. Chernykh, "On "true" stress and strain measures in nonlinear solid mechanics," Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 73-79, 1987.
9.  M. A. Grinfel'd, Methods of Continuum Mechanics in the Theory of Phase Transformations [in Russian], Nauka, Moscow, 1990.
10.  V. I. Kondaurov and L. V. Nikitin, "On the phase transitions of the second kind in nonlinearly elastic media," Doklady AN SSSR, Vol. 262, No. 6, pp. 1348-1351, 1982.
11.  A. B. Freidin and A. M. Chiskis, "Phase transition zones in nonlinearly elastic isotropic materials. Part 1," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 91-109, 1994.
12.  A. E. Volkov, V. A. Likhachev, and L. S. Shikhobalov, "Theory of grain boundaries as independent imperfections in crystals," Fizika Metallov i Metallovedenie, Vol. 47, No. 6, pp. 1127-1140, 1979.
13.  A. E. Volkov, V. A. Likhachev, and L. S. Shikhobalov, "Continuum theory of grain boundaries in heterogeneous crystals," Fizika Metallov i Metallovedenie, Vol. 51, No. 5, pp. 935-944, 1981.
14.  K. F. Chernykh, "On large-angle boundaries (a plane problem)," in Nonlinear Problems of Mechanics and Physics of Solids [in Russian], St. Petersburg, No. 3, pp. 14-34, 2000.
15.  K. F. Chernykh, Linear Theory of Shells. Part 2 [in Russian], Izd-vo LGU, Leningrad, 1964.
16.  V. V. Novozhilov, K. F. Chernykh, and E. I. Mikhailovskii, Linear Theory of Thin Shells [in Russian], Politekhnika, Leningrad, 1991.
17.  K. F. Chernykh, "A follower load in a nonlinear plane problem," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 37, No. 4, pp. 145-148, 1996.
Received 15 March 2001
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