On the Linear Theory of Thermoelasticity with Microtemperatures

Abstract

In the present paper the linear theory of thermoelasticity with microtemperatures is considered. A wide class of external boundary value problems (BVPs) of steady vibrations is investigated. Sommerfeld-Kupradze type radiation conditions and the basic properties of thermoelastopotentials are established. The uniqueness and existence theorems of regular solutions of the external BVPs are proved using the potential method and the theory of singular integral equations.