異方性材料の非定常熱伝導問題に対する時間差分DRM境界要素法 : 2次元問題での検討

概要

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This paper is concerned with a dual reciprocity boundary element method (DRBEM) applied to the transient heat conduction problem of anisotropic materials. The integral equation formulation employs the fundamental solution of Laplace equation for isotropic materials, and hence from the anisotropic part of the governing differential equation a domain integral arises in the boundary integral equation. This domain integral is transformed into boundary integrals by using new radial basis functions. Furthermore, time derivative is approximated by the finite difference method, and the domain integral also appears from this approximation. Such a domain integral at each time step is also transformed into boundary integrals via the same dual reciprocity method. The details of the proposed DRBEM are presented, and a computer code is developed for two-dimensional problems. The usefulness of the present method is demonstrated through comparison of the results obtained by the computer code with the analytical ones.
社団法人日本機械学会の論文
2006-09-25