Construction of eigentensor columns in the linear micropolar theory of elasticity

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.