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多重应力奇异性及其强度系数的数值分析方法

A numerical method for determination of multiple stress singularities and corresponding stress intensity coefficients

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【作者】 许金泉刘一华王效贵

【Author】 XU Jin quan 1, LIU Yi hua 2, WANG Xiao gui 1 (1 Department of Mechanics, Zhejiang University, Hangzhou 310027, China; 2.Department of Applied Mathematics and Mechanics, Hefei University of Technology, Hefei 230009, China)

【机构】 浙江大学力学系!杭州310027合肥工业大学数力系!合肥230009

【摘要】 以具有两个应力奇异性次数的平面问题为例 ,提出了一种利用普通的数值分析结果确定奇异点附近多重应力奇异性的各阶次数以及相应的应力强度系数的数值分析方法。计算实例表明 ,本方法可以精确地求得各阶应力奇异性的次数 ,并且可以很方便地应用外插法确定出对应的应力强度系数。

【Abstract】 A numerical method for determination of multiple stress singularity orders and corresponding stress intensity coefficients is presented in this paper, by the example of plane problems with two stress singularity orders, based on the numerical solutions obtained by common numerical procedures such as FEM and BEM. A particular model of bonded dissimilar materials with interface edges in the plane strain problem is analyzed by BEM to verify the efficiency of this method. The numerical results show that all of the stress singularity orders at an interface edge can be determined precisely by this method. It is also found that there is a good linearity for the extrapolation method to determine the corresponding stress intensity coefficients.

【基金】 国家自然科学基金!资助项目 ( 1 950 2 0 1 1)
  • 【文献出处】 计算力学学报 ,CHINESE JOURNAL OF COMPUTATIONAL MECHANICS , 编辑部邮箱 ,2000年02期
  • 【分类号】O346
  • 【被引频次】18
  • 【下载频次】123
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