| 热弹性力学边界元中二次元的几乎奇异积分计算 |
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| 引用本文： | 周焕林,牛忠荣,王秀喜,程长征.热弹性力学边界元中二次元的几乎奇异积分计算[J].合肥工业大学学报(自然科学版),2003,26(6):1141-1145. |
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| 作者姓名： | 周焕林 牛忠荣 王秀喜 程长征 |
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| 作者单位： | 1. 合肥工业大学,土木建筑工程学院,安徽,合肥,230009
2. 中国科学技术大学,力学系,安徽,合肥,230026 |
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| 基金项目： | 国家自然科学基金资助项目(10272039) |
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| 摘 要： | 采用正则化积分算法,计算了二维热弹性力学边界元法中近边界点的几乎奇异积分。算法采用二次元划分边界,但对与内点邻近的二次单元,几何量采用线性插值,位移、面力等物理量仍采用二次插值。对此二次非等参单元上的积分采用正则化积分公式。算例证明了该文算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 二次元 热弹性力学 |
| 文章编号： | 1008-3634(2003)06-1141-05 |
| 修稿时间： | 2003年3月11日 |
Regularization integral algorithm of nearly singular integrals based on the BEM of thermoelasticity with quadratic elements |
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| ZHOU Huan-lin,NIU Zhong-rong,WANG Xiu-xi,CHENG Chang-zheng.Regularization integral algorithm of nearly singular integrals based on the BEM of thermoelasticity with quadratic elements[J].Journal of Hefei University of Technology(Natural Science),2003,26(6):1141-1145. |
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| Authors: | ZHOU Huan-lin NIU Zhong-rong WANG Xiu-xi CHENG Chang-zheng |
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| Institution: | ZHOU Huan-lin~1,NIU Zhong-rong~1,WANG Xiu-xi~2,CHENG Chang-zheng~1 |
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| Abstract: | In this paper, a new regularization integral algorithm is applied to the regularization of nearly strongly singular and hypersingular integrals based on the boundary element method (BEM) of two-dimensional thermoelasticity. The boundary of the domain is discretized by a set of quadratic elements. On the quadratic elements very close to an inner point, geometric quantities are interpolated by linear functions, but physical quantities, such as displacements and tractions, are interpolated by quadratic functions. For these nonparametric quadratic integral elements, the new regularization equations are applied to evaluating the nearly singular integrals. Numerical examples demonstrate the effectiveness and accuracy of this algorithm. |
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| Keywords: | boundary element method(BEM) nearly singular integral quadratic element thermoelasticity |
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