POTENTIAL METHOD IN THE THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES FOR MICROSTRETCH SOLIDS

摘要

In this paper we consider the linear equilibrium theory of thermoelasticity with microtemperatures for microstretch solids.The basic internal and external boundary value problems (BVPs) are formulated and uniqueness theorems are given.The single-layer and double-layer thermoelastic potentials are constructed and their basic properties are established.The integral representation of general solutions is obtained.The existence of regular solutions of the BVPs by means of the potential method (boundary integral method) and the theory of singular integral equations are proved.