Abstract
Liao and Chwang proposed a new boundary element method using homotopy for nonlinear transient heat conduction problems in orthotropic solids. This study is concerned with an application of this approach to anisotropic solids. Mathematical formulations of the boundary element method are presented in detail for two-dimensional nonlinear transient heat conduction. Computation is started from the initial stage subject to a given initial condition, and advanced by an iterative procedure until the root mean square (RMS) of the residual is a minimum or the rate of change in RMS is less than a tolerance. The proposed solution procedure is applied to some typical examples, and the usefulness of the proposed BEM is demonstrated through discussions of the results obtained. Emphasis is placed on comparison between the present scheme and isotropic solid scheme of the Liao-Chwang method.
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