| 弹塑性力学问题的自然边界积分方程 |
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| 引用本文： | 滕海龙,牛忠荣,王秀喜.弹塑性力学问题的自然边界积分方程[J].中国科学技术大学学报,2003,33(3):292-299. |
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| 作者姓名： | 滕海龙 牛忠荣 王秀喜 |
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| 作者单位： | 1. 中国科学技术大学力学与机械工程系,合肥,230027
2. 合肥工业大学力学研究所,合肥,230029 |
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| 基金项目： | 国家自然科学基金资助项目 ( 10 2 72 0 3 9) |
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| 摘 要： | 以二维弹性力学自然边界积分方程法为基础建立了二维弹塑性问题的自然边界积分方程．这种方法从位移导数边界积分方程出发，通过适当组合和分部积分，将全部和部分边界上张量转换为新的边界张量，从而构造出一种新的边界积分方程．这种新边界积分方程相应的积分核函数在源点处处表现为强奇异积分，并易于获得其Cauchy主值积分．自然边界积分方程与位移边界积分方程联合使用可直接获取边界应力，大大提高了边界应力的计算精度．数值结果证实了本文方法的有效性和正确性。
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| 关 键 词： | 边界无法 自然边界积分方程 弹塑性 |
| 文章编号： | 0253-2778(2003)03-0292-08 |
Natural Boundary Integral Equation for Elastoplasticity |
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| TENG Hai long ,NIU Zhong rong ,WANG Xiu xi.Natural Boundary Integral Equation for Elastoplasticity[J].Journal of University of Science and Technology of China,2003,33(3):292-299. |
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| Authors: | TENG Hai long NIU Zhong rong WANG Xiu xi |
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| Institution: | TENG Hai long 1,NIU Zhong rong 2,WANG Xiu xi 1 |
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| Abstract: | Based on the natural boundary integral equation for two dimensional elasticity, a corresponding elasto plastic formulation is presented in this paper. The boundary displacements, traction and displacement derivatives are transformed into a set of new boundary variables in terms of tedious manipulation. It produces a new derivative: BIEs. Natural BIEs only contain the strongly singular integrals, which are easily evaluated, instead of the originally hypersingular integrals. They can be managed to obtain the same accurate boundary stresses as the displacement together with the displacement BIEs. Further application of natural BIEs to elasto plastic problems is presented. The numerical results demonstrate the efficiency and the correctness of the present formulation. |
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| Keywords: | BEM natural boundary integral equation elastoplastic |
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