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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009 Number 6, Pages 52–56 (Mi vmumm923)

This article is cited in 4 papers

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Integral formulas in symmetric and asymmetric elasticity

V. I. Gorbachev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Some new integral representations of the solutions to the problems of the moment and nonmoment elasticity theories for nonhomogeneous bodies are obtained using the solutions to the same problems for homogeneous ones. In particular, these integral representations can be used to substantiate the homogenization procedures for composite mechanics problems.

Key words: elasticity, composite, integral formulas, moment theories, homogenization.

UDC: 539.4.25

Received: 15.02.2008



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