mixtures, stability, stress, deformation, plasticity, viscosity.

. There are many researches relating to problems of stability of plastically deforming solids. Survey of articles and monographs [1]–[4] reflects the state of researches based on three- dimensional linearized equations of stability. As that, considerable part of practical results were found for stability problems in geomechanics [5]–[7]. For description of the behavior and for stability analysis in a strict three-dimensional linearized formulation for a number of real structures consisting of n – components it is necessary to involve more general models of solids for better approximation. Obviously, it is impossible to describe adequately the behavior of multi-component mixtures using simple structural models of solids [8]–[9], including [10]. In the article it is considered one of the possible approximate approaches to the research of stability of multi-component elastoviscousplastic (EVP) mixtures. It is shown, that the research of stability of the ground state of mixture can be reduced to the research of stability of continuum with complex physical and mathematical parameters.

Sporykhin Anatoliy Nicolaevich

E-mail: anspor@mail.ru, Dr. Sci. Phys. & Math., Professor, Voronezh State University, Voronezh, Russia.