Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 23–30 (Mi vmumm3622)  
This article is cited in 3 scientific papers (total 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
Full-text PDF (731 kB) Citations (3)
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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.
Funding agency Grant number
Shota Rustaveli National Science Foundation DI-2016-41
Received: 16.02.2018
English version:
Moscow University Mechanics Bulletin, 2019, Volume 74, Issue 5, Pages 103–110
DOI: https://doi.org/10.3103/S0027133019050017
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: M. U. Nikabadze, “Splitting of initial boundary value problems in anisotropic linear elasticity theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 23–30; Moscow University Mechanics Bulletin, 74:5 (2019), 103–110
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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