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

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 5, Pages 23–30 (Mi vmumm3622)

This article is cited in 3 papers

Mechanics

Splitting of initial boundary value problems in anisotropic linear elasticity theory

M. U. Nikabadze

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A number of questions on the decomposition of initial-boundary value problems of elasticity theories for some anisotropic media are considered. In particular, the initial-boundary problems of the micropolar (classical) theory of elasticity are presented with the help of the introduced tensor-block matrix operators (tensors-operators). In the case of an isotropic micropolar elastic medium (isotropic and transversally isotropic classical media) tensor-block matrix operators (tensors-operators) of cofactors corresponding to the tensor-block matrix operators (tensors-operators) of given initial-boundary value problems are obtained, which allows one to split the initial-boundary value problems.

Key words: tensor-operator, tensor-operator of stress, tensor-operator of stress and couple stress, tensor-block matrix operator.

UDC: 539.3

Received: 16.02.2018


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2019, 74:5, 103–110

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