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IssuesArchive of Issues2001-1pp.16-23

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B. E. Pobedrya, "Combined loading of layered composites," Mech. Solids. 36 (1), 16-23 (2001)
Year 2001 Volume 36 Number 1 Pages 16-23
Title Combined loading of layered composites
Author(s) B. E. Pobedrya (Moscow)
Abstract The general theory of plasticity developed by A. A. Il'yushin is applied to composite materials. A generalization of the method of computer aided combined loading is proposed for inhomogeneous media with constitutive relations involving material functions which are discontinuous with respect to the coordinates. For layered composites it is shown that the dimension of the strain and the loading trajectories cannot exceed two, and therefore, the proposed theory is adequate.
References
1.  A. A. Il'yushin, Plasticity: Basic Principles of the General Mathematical Theory [in Russian], Izd-vo AN SSSR, Moscow, 1963.
2.  A. A. Il'yushin, Continuum Mechanics [in Russian], Izd-vo MGU, Moscow, 1990.
3.  A. A. Il'yushin, "On basic principles of the general mathematical theory of plasticity" in Problems in the Theory of Plasticity [in Russian], pp. 3-29, Izd-vo AN SSSR, Moscow, 1961.
4.  S. P. Finikov, Differential Geometry [in Russian], Izd-vo MGU, Moscow, 1961.
5.  A. A. Il'yushin, Plasticity [in Russian], Gostekhizdat, Moscow, Leningrad, 1948.
6.  B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Izd-vo MGU, Moscow, 1984.
7.  V. S. Lenskii, "Experimental verification of isotropy laws and delay under combined loading," Izv. AN SSSR. OTN, No. 11, pp. 15-23, 1958.
8.  R. A. Vasin, "Some problems concerning stress-strain relations under combined loading," in Elasticity and Inelasticity [in Russian], No. 1., pp. 59-126, Izd-vo MGU, Moscow, 1971.
9.  N. S. Bakhvalov and G. P. Panasenko, Averaging of Processes in Periodic Media [in Russian], Nauka, Moscow, 1984.
10.  B. E. Pobedrya, "On the theory of plasticity for transversely isotropic materials," Izv. AN. MTT [Mechanics of Solids]old, No. 3, pp. 96-101, 1990.
11.  B. E. Pobedrya, "Specific features of the theory of processes in composite media," Mekh. Komposit. Materialov, No. 4, pp. 612-617, 1984.
Received 17 July 2000
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