Boundary integral equation method in thermoelasticity part I: general analysis

The boundary integral equation formulation of thermoelasticity problems is presented. Fundamental solutions of governing differential equations are given for various problems of thermoelasticity according to the classification made here. As well as the representations of the temperature and displacement fields those of the traction vector and heat flux are given in a regularized form. A new type of boundary equation has been found due to such regularization. The boundary element method is applied to solve all the presented boundary equations.