Author(s)

Y. Ochiai

Abstract

Steady thermal stress problems without heat generation can be solved easily by the boundary element method. However, for the case with arbitrary heat generation, the domain integral is necessary. In this paper, it is shown that the problems of three-dimensional steady thermal stress with heat generation can be solved approximately without the domain integral by the 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. Keywords: Thermal stress, triple-reciprocity method, harmonic function, boundary element method. 1 Introduction The steady thermal stress problem without heat generation can be solved easily by the boundary-element method (BEM). When analysis of thermal stress under arbitrary heat generation within the domain is carried out by the BEM, generally the domain integral is necessary. By this method, however, the merit of BEM for the simple preparation of data is lost. Several other methods have been considered. Nowak and coworkers have proposed the multiple-reciprocity method [1]. Ochiai et al. have proposed an approximate method using the cells of boundary type [2]. In the conventional multiple-reciprocity method, heat generation must be given analytically and the analytical derivation of heat generation on the boundary is necessary. Fundamental solutions of higher order are used to make the solution converge for some problems. Accordingly, the conventional

Keywords

Thermal stress, triple-reciprocity method, harmonic function, boundary element method