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双材料界面裂纹平面问题的半权函数法
Semi-Weight Function Method on Computation of Stress Intensity Factors in Dissimilar Materials
查看参考文献11篇
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文摘
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应用半权函数法求解双材料界面裂纹的平面问题.由平衡方程、应力应变关系、界面的连续条件以及裂纹面零应力条件推导出裂尖的位移和应力场,其特征值为lambda及其共轭.设置特征值为lambda的虚拟位移和应力场,即界面裂纹的半权函数.由功的互等定理得到应力强度因子KⅠ和KⅡ以半权函数与绕裂尖围道上参考位移和应力积分关系的表达式.数值算例体现了半权函数法精度可靠、计算简便的特点. |
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其他语种文摘
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Semi-weight function method is developed to solve the plane problem of two bonded dissimilar materials containing a crack along the bond. Prom equilibrium equation, stress and strain rela-tionship, conditions of continuity across interface and free crack surface, the stress and displacement fields were obtained. The eigenvalue of these fields is lambda. Semi-weight functions were obtained as virtual displacement and stress fields with eigenvalue -lambda. Integral expression of fracture parameters, K_I and K_(II) , were obtained from reciprocal work theorem with semi-weight functions and approximate displacement and stress values on any integral path around crack tip. The calculation results of applications show that the semi-weight function method is a simple, convenient and high precision calculation method. |
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来源
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应用数学和力学
,2004,25(11):1135-1142 【核心库】
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关键词
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双材料
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界面裂纹
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应力强度因子
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半权函数法
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平面问题
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地址
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中国科学院力学研究所, 北京, 100080
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0887 |
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学科
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力学 |
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基金
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国家自然科学基金资助项目
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文献收藏号
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CSCD:1673183
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参考文献 共
11
共1页
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