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解三维温度场问题的边界单元法
引用本文:张恩栋,张爱锋.解三维温度场问题的边界单元法[J].东北大学学报(自然科学版),1987(3).
作者姓名:张恩栋  张爱锋
作者单位:东北工学院材料力学教研室 (张恩栋),东北工学院材料力学教研室(张爱锋)
摘    要:本文用加权余量法,建立了各向同性体三维稳定温度场的边界积分方程和离散型方程,导出了边界单元法在稳定温度场中出现的两个奇异积分的具体解析表达式。此外,对全域积分和系数矩阵的对称化也作了一些工作。

关 键 词:温度场  边界单元法  加权余量法  奇异积分

Boundary Element Method for Three-Dimensional Temperature Field
Zhang Endong,Zhang Aifeng.Boundary Element Method for Three-Dimensional Temperature Field[J].Journal of Northeastern University(Natural Science),1987(3).
Authors:Zhang Endong  Zhang Aifeng
Institution:Zhang Endong;Zhang Aifeng
Abstract:Boundary integral and its discrete equations are established usingweighed residue method for the isotropic and steady- state cases inthree-dimensional temperature field. Analytic expressions are derivedfor two singular integrations which occur in the steady- state tempe-rature field when using boundary element method. The domain ofintegration and the symmetrization of coefficient matrix are discussedin detail. Advantages as simple, rapid and reliable in computationare shown through examples included.
Keywords:temperature field  boundary element method  weighed residue method  singular integration  
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