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.