温度依存性材料中の非定常熱伝導問題に対する二重相反時間ステップ境界要素法 [in Japanese] Dual Reciprocity Time-stepping BEM Applied to the Transient Heat Conduction Problem of Temperature-dependent Materials [in Japanese]
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This paper presents a dual reciprocity boundary element method (DRBEM) applied to the transient heat conduction problem in temperature-dependent materials. The integral equation formulation employs the fundamental solution of the Laplace equation for homogeneous materials, and hence a domain integral arises in the boundary integral equation. This domain integral is transformed into boundary integrals by using a new set of radial basis functions. Furthermore, time derivative is approximated by the time-stepping method, and the domain integral also appears from this approximation. The domain integral corresponding to the so-called “pseudo” initial condition 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 three-dimensional problems. Through comparison of the results obtained by the computer code with the results by a finite difference scheme, the usefulness of the present DRBEM is demonstrated.
- TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A
TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A 71(702), 191-196, 2005-02-25
The Japan Society of Mechanical Engineers