The model of thermo-elastic solid solution which incorporate the irreversibility and inertia of local mass displacement

Abstract

In the framework of continuum-phenomenological approach the complete set of equations of
gradient-type mathematical model of thermo-elastic chemically-inert n-component solid solution
is obtained. This model takes into account the coupled processes of deformation, thermal
conduction and local mass displacement. It is shown that the rheological constitutive equations
are the consequences of an accounting for the irreversibility and inertia of the process of local
mass displacement. This model allows one to study the dynamics of formation of near-surface
inhomogeneity of physical and mathematical fields in solid solutions. It is effective also for
investigation of coupled processes in solids under high-gradient loading (high-frequency waves,
concentrated forces etc.).