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Structural Engineering and Mechanics Volume 4, Number 1, January 1996 , pages 61-72 DOI: https://doi.org/10.12989/sem.1996.4.1.061 |
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A boundary element method based on time-stepping approximation for transient heat conduction in anisotropic solids |
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Tanaka M, Matsumoto T
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| Abstract | ||
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The time-stepping boundary element method has been so far applied by the authors to transient heat conduction in isotropic solids as well as in orthotropic solids. In this paper. attempt is made to extend the method to 2-D transient heat conduction in arbitrarily anisotropic solids. The resulting boundary integral equation is discretized by means of the boundary element with quadratic interpolation. The final system of equations thus obtained is solved by advancing the time step from the given initial state to the final state. Through numerical compuation of a few examples the potential usefulness of the proposed method is demonstrated. | ||
| Key Words | ||
| boundary element method, integral equation formulation, numerical analysis, time-stepping approximation, time-dependent problem, heat conduction, anisotropic solid | ||
| Address | ||
| Tanaka M, SHINSHU UNIV,FAC ENGN,DEPT MECH ENGN,500 WAKASATO,NAGANO 380,JAPAN SHINSHU UNIV,GRAD SCH,NAGANO,JAPAN | ||