The boundary problems of nonlocal thermoelasticity with local mass displacement

Abstract

Using the approaches and methods of nonequilibrium thermodynamics and solid mechanics,
a complete system of equations of nonlocal theory of deformation of thermoelastical solids is
formulated. This theory takes into account the interrelation of deformation processes, thermal
conductivity, and local mass displacement, with which the material structure changes of a fixed
small element are associated. The mathematical physics' value-boundar- problems corresponding
to this non-local theory were formulated. The uniqueness theorem of the solution of the stationary
problems of mechanics, which takes into account the effect of the local mass displacement on
mechanical fields, is proved for linearized approximation.