Fundamental Tensor of Tension of coupled Thermoelastodynamics in 2-D and 3-D cases

Abstract

The purpose of this paper is to present a fundamental tensor of tensions constructed via boundary integral equations (BIE) for unsteady value problems of coupled thermoelastodynamics. By BIEM implementation the following problems have been solved: the thermoelastic statement of medium in 2-D and 3-D cases was considered under action of non-stationary concentrated mass forces and thermal sources; tensor of Green and fundamental tensor of tension were constructed in 2-D and 3-D cases (using dynamical functions), their properties were investigated, and their asymptotics were constructed; the dynamical analogues of formulas of Gauss and of Somigliana were constructed. The BIEM for the thermostress condition of medium was developed for the given non-stationary loadings and thermal flow on boundaries in 2-D and 3-D cases are presented.