| 二维热弹性力学边界元法中几乎奇异积分的正则化 |
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| 引用本文： | 周焕林,牛忠荣,王秀喜.二维热弹性力学边界元法中几乎奇异积分的正则化[J].固体力学学报,2004,25(2):144-148. |
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| 作者姓名： | 周焕林 牛忠荣 王秀喜 |
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| 作者单位： | 合肥工业大学工程力学系,合肥,230009;中国科学技术大学中科院材料力学行为和设计重点实验室,合肥,230026;合肥工业大学工程力学系,合肥,230009;中国科学技术大学中科院材料力学行为和设计重点实验室,合肥,230026 |
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| 基金项目： | 国家自然科学基金 ( 10 2 72 0 3 9)资助 |
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| 摘 要： | 针对二维热弹性力学边界元法中近边界点的几乎强奇异和超奇异积分，采用一种通用算法，将其实施正则化．该方法适用于线性单元，与近边界点邻近的单元上的积分采用正则化积分公式计算，远处单元的积分仍保持常规高斯积分．算例证明了该法的有效性和精确性．
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| 关 键 词： | 边界元法 几乎奇异积分 正则化 热弹性力学 |
| 修稿时间： | 2002年9月29日 |
THE REGULARIZATION OF NEARLY SINGULAR INTEGRALS IN THE BEM OF TWO-DIMENSIONAL THERMOELASTICITY |
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| Zhou Huanlin , Niu Zhongrong Wang Xiuxi.THE REGULARIZATION OF NEARLY SINGULAR INTEGRALS IN THE BEM OF TWO-DIMENSIONAL THERMOELASTICITY[J].Acta Mechnica Solida Sinica,2004,25(2):144-148. |
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| Authors: | Zhou Huanlin Niu Zhongrong Wang Xiuxi |
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| Institution: | Zhou Huanlin 1,2 Niu Zhongrong 1 Wang Xiuxi 2 |
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| Abstract: | A new general algorithm is applied to the regularization of nearly strongly singular and hypersingular integrals in the boundary element method of two-dimensional thermoelasticity problems. For an inner point, if it is very close to the present integral element, the new regularization equations are applied to evaluating the nearly singular integrals. Otherwise, the standard Gauss integrals can still be used. Numerical examples demonstrate the effectiveness and accuracy of this algorithm. |
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| Keywords: | BEM nearly singular integrals regularization thermoelasticity |
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