Boundary element analysis of Green and Lindsay theory under thermal and mechanical shock in a finite domain

A boundary element formulation based on the Laplace transform method is dev eloped for transient coupled thermoelasticity problems,vith relaxation time s in a two-dimensional finite domain. The dynamic thermoelastic model of Gr een and Lindsay is selected for the present study. The Laplace transform me thod is applied to the time domain, and the resulting equations in the tran sformed field ale discretized using the boundary element method. The nodal dimensionless temperature and displacements in the transformed domain are i nverted to obtain the actual physical quantities using the numerical invers ion of the Laplace transform method. This work considers the Green and Lind say theory of thermoelasticity with the thermal and mechanical loading in a finite domain. The creation and propagation of elastic and thermoelastic w aves in a finite domain and their effects on each other are investigated. D ifferent relaxation times are chosen to briefly illustrate the events that take place in GL theory. Details of the formulation and numerical implement ation are also presented.