抄録
In recent years, the boundary element methods (BEM) have been used in various fields of computational mechanics. As for the thermoelastic problems the methods have been successfully applied. However, in almost all the boundary element methods developed so far for thermoelasticity, the terms resulting from the temperature change are considered to be the pseudo body force, and the boundary element software for elastostatics are employed for analysis. Therefore, the domain integrals inevitably appear on the boundary integral equations to be analyzed. These integrals are in most cases evaluated numerically by introducing small internal cells, or in extremely simple cases they can be transformed into the equivalent boundary integrals.
The present paper is concerned with an alternative boundary integral equation formulation for the thermoelastic problems. In this approach, the governing differential equations of the displacement (or stress) field and the temperature field are transformed into a simultaneous set of the boundary integral equations. The necessary fundamental solutions are derived in a systematic manner after Hormander. The fundamental solutions thus derived and the related expressions are given in detail for some typical problems in thermoelasticity. Finally, the proposed formulation is extended to the so called coupled thermoelastic problems.
