Steady heat conduction analysis in orthotropic bodies by triple-reciprocity BEM

The boundary element method (BEM) is useful in solving the steady heat cond uction problem of orthotropic bodies without heat generation. However, for cases with arbitrary heat generation, a number of internal cells are necess ary. In this paper, it is shown that the problem of steady heat conduction in orthotropic bodies with heat generation can be solved without internal c ells by the triple-reciprocity BEM. In this method, the distribution of hea t generation is interpolated using integral equations. In order to solve th e problem, the values of heat generation at internal points and on the boun dary are used. Furthermore, a new interpolation method is shown to solve th ree-dimensional problems quickly and with a high level of accuracy.