Boundary integral equation formulation for the generalized thermoviscoelasticity with one relaxation time

This paper presents a formulation of the boundary integral equation method for generalized thermoviscoelasticity with one relaxation time. Fundamental solutions of corresponding differential equations are obtained in Laplace transform domain. A reciprocity theorem is established. The reciprocal relation is used to formulate the boundary integral equations on the basis of our fundamental solutions. Special attention is given to the representation of primary fields, namely temperature and displacements. The initial, mixed boundary value problem is considered as an example illustrating the BIE formulation.