BEM formulation for three-dimensional anisotropic thermoelastic problems

Abstract

The boundary integral representation for thermoelastic problems involves a domain integral term originated from the thermal strain. Although for two-dimensional problem, this domain integral can be converted into boundary integrals by using an elastic potential, for three-dimension problem, it has not been possible but for isotrpic solids. In this paper, we start from the set of equilibrium equation for thermoelasticity and energy balance equation for steady-state heat conduction to derive the integral formulation. The fundamental solution of the set of adjoint differential equation can be obtained by applying the Radon transform. The final integral representations has no domain integral and can be splitted into one for heat conduction problem and the other for thermoelasticity for general isotropic solids.