Analysis of Two-Dimensional Transient Heat Conduction in Anisotropic Solids by Boundary Element Method.

Abstract

This study is concerned with a new boundary element method based on the time-stepping scheme and the direct scheme for transient heat conduction problems in anisotropic solids. Mathematical formulations of the boundary element method are presented in detail for two-dimensional transient heat conduction. The reduced differential equations by the authors are transformed into regularized boundary integral equations which involve no integrals to be evaluated in the sense of the Cauchy principal value. Boundary element analysis can be performed by using the standard boundary element method. Computation is started from the initial state, and advanced by a time-marching procedure until the final stage is realized. The proposed solution procedures are applied to some typical examples, and the usefulness of the proposed BEM is demonstrated through discussions of the results obtained.