Geodesic
Splitting of initial boundary value problems in anisotropic linear elasticity theory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 23-30

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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. 
@article{VMUMM_2019_5_a3,
     author = {M. U. Nikabadze},
     title = {Splitting of initial boundary value problems in anisotropic linear elasticity theory},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {23--30},
     publisher = {mathdoc},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a3/}
}
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M. U. Nikabadze. Splitting of initial boundary value problems in anisotropic linear elasticity theory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2019), pp. 23-30. http://geodesic.mathdoc.fr/item/VMUMM_2019_5_a3/