Boundary integral equation formulation for coupled thermoelasticity with three phase-lags

The present paper is aimed at formulating the boundary integral equations for the solution of equations in three-dimensional Euclidian space under coupled thermoelasticity with three phase-lags. We consider the initial mixed boundary value problem in the present context and obtain the fundamental solutions of corresponding differential equations in the Laplace transform domain by employing the treatment of scalar and vector potential theory. On the basis of these fundamental solutions we formulate the boundary integral equations by using a reciprocal relation of Betti type for coupled thermoelasticity with three phase-lags. The implementation of the boundary element method is also outlined for the solution of the derived boundary equations with an example.