ИСТИНА

The report consists of three interconnected parts, one way or another concerning the various aspects of continuum mechanics and the theory of constitutive relations. In the first of them, the basic properties of the operators included in the constitutive relations are described and on this basis a certain classification of media is given. In the second part, the apparatus of tensor nonlinear isotropic functions in the theory of constitutive relations in relation to tensor (vector) nonlinear, or quasilinear media, is developed. In the third part, for the environments described in the previous two parts, the formulations of linearized stability boundary-value problems are given in terms of small perturbations of both initial data and material functions.