陈颂英,孙树勋.完备型二次边界轮廓法的研究及J积分和应力强度因子的计算[J].计算力学学报,1999,16(3):370~374 |
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完备型二次边界轮廓法的研究及J积分和应力强度因子的计算 |
Research of perfect quadratic boundary contour method and the evaluations of J integral and stress intensity factor |
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DOI:10.7511/jslx19993061 |
中文关键词: 边界元 J积分 应力强度因子 二次边界轮廓法 |
英文关键词:boundary
element methods,J integral,stress intensity factor |
基金项目:山东省自然科学基金 |
陈颂英 孙树勋 |
[1]山东工业大学化工系 [2]山东工业大学工程力学研究所 |
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中文摘要: |
选择二次完全多项多作为位移形函数,对边界轮廓法作了进一步的发展,证明二维弹性断裂问题的J积分方程的被积分函数的散度等于零,将J积分化为边界点的势函数数值的计算,无需计算数值积分,算例表明,该方法较传统边界元法求得的结果精度更好。 |
英文摘要: |
Some developments of boundary contour method with perfect
quadratic polynomial selected as displacement shape function are presented in this paper.
Divergence free property of J integral in two dimensional elastic fracture problem is testified
and J integral problems can be reduced can be reduced to merely evaluation of potential
functions at points on the boun dary of a body without numerical integrals. Numerical
results are given to show that the accuracy of the method is very excellent. |
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