境界要素法による異方性体の2次元非線形非定常熱伝導解析 : Greenの定理による領域積分項の境界積分項への変換

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This paper is concerned with an application of the boundary element method using Green's theorem to analyze nonlinear transient heat conduction in anisotropic solids. In this study, as the fundamental solution of this problem is not obtained, the concept (Analog Equation Method) proposed by Katsikadelis and Nerantzaki is applied. A standard linear partial differential operator in which the fundamental solution can be obtained extracts from a nonlinear partial differential equation. One can consider the remainder as a body force and transform a domain integral into a boundary integral using Green's theorem. Mathematical formulations of this approach for two-dimensional problems are presented in detail. The proposed solution procedure is applied to a couple of typical examples, and the validity and other numerical properties of the proposed BEM are demonstrated through discussions of the results obtained.
2006-09-25