Three-Dimensional Steady Thermal Stress Analysis by Triple-Reciprocity Boundary Element Method

Abstract

Steady thermal stress analysis without heat generation can easily be solved by the boundary element method. However, for the case with arbitrary heat generation, a domain integral is necessary. This paper shows that the problem of three-dimensional steady thermal stress with heat generation can approximately be solved without the domain integral by triple-reciprocity boundary element Method. In this method, an arbitrary distribution of heat generation is interpolated by boundary integral equations. In order to solve the problem, the values of heat generation at internal points and on the boundary are used.