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Construction of eigentensor columns in the linear micropolar theory of elasticity

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Moscow University Mechanics Bulletin Aims and scope

Abstract

The internal structure of the block tensor matrix of the elastic modulus tensors is studied for the case of micropolar theory. In particular, the problem of finding the eigenvalues and eigentensor columns of block tensor matrices is considered. The complete orthonormal system of eigentensor columns for a block tensor matrix is constructed. A number of definitions and theorems are formulated. Several newly introduced terms are used to propose various representations of the specific strain energy and the corresponding constitutive relations.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    M. U. Nikabadze

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  1. M. U. Nikabadze
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Original Russian Text © M.U. Nikabadze, 2014, published in Vestnik Moskovskogo Universita, Matematika. Mekhanika, 2014, Vol. 69, No. 1, pp. 30–39.

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Nikabadze, M.U. Construction of eigentensor columns in the linear micropolar theory of elasticity. Moscow Univ. Mech. Bull. 69, 1–9 (2014). https://doi.org/10.3103/S0027133014010014

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  • DOI: https://doi.org/10.3103/S0027133014010014

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