Construction of eigentensor-columns in micro-polar linear elasticity theory / M. U. Nikabadze. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 1. P. 30-39 [Moscow Univ. Math. Bulletin. Vol. 69, N 1, 2014.].
In the paper we study the internal structure of the tensor-block matrix of tensors of moduls of elasticity of micropolar theory. In particular, we consider the problem of finding the eigenvalues and eigentensor columns of the tensor-block matrix. We construct a complete orthonormal system of eigentensor columns of the tensor-block matrix. We present some definitions and theorems. Various representations of the specific energy of deformation and constitutive relations are given in new terms.
Key words: micropolar theory, tensor column, eigentensor column, tensor-block matrix, couple-stress tensor, complete orthonormal system of tensor columns of tensor-block matrix.