RELATIONS OF GRADIENT THERMOMECHANICS TAKING INTO ACCOUNT THE IRREVERSIBILITY AND INERTIA OF LOCAL MASS DISPLACEMENT

摘要

We have obtained the complete set of relations of the gradient-type nonlocal theory that describes the processes of heat conduction, deformation, and local mass displacement with regard for its inertia and ir-reversibility. In this case, the constitutive relation for the vector of local mass displacement, referred to density, is rheological. The equation for potential μ'_π , characterizing the effect of local mass displacement on the internal energy of the body, has a dynamic character due to the presence of terms with the first- and second-order time derivatives of potential μ'_π , the spherical component of strain tensor, and temperature.