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应用半权函数法计算界面裂纹的应力强度因子
Alternative TitleSemi-weight Function Method on Computation of Stress Intensity Factors in Dissimilar Materials
马开平; 柳春图
Source Publication应用力学学报
2004-03-30
Volume21Issue:1Pages:44-49
ISSN1000-4939
Abstract应用半权函数法求解双材料界面裂纹的应力强度因子,得到以半权函数对参考位移与应力加权积分的形式表示的应力强度因子.针对特征值为复数λ的双材料界面裂纹裂尖应力和位移场,设置与之对应特征值为-λ的位移函数,即半权函数.半权函数的应力函数满足平衡方程,应力应变关系,界面的连续条件以及在裂纹面上面力为0;半权函数与裂纹体的几何尺寸无关,对边界条件没有要求.由功的互等定理得到应力强度因子K_Ⅰ和K_Ⅱ的积分形式表达式.本文计算了多种情况下界面裂纹应力强度因子的算例,与文献结果符合得很好.由于裂尖应力的振荡奇异性已经在积分中避免,只需考虑绕裂尖远场的任意路径上位移和应力,即使采用该路径上较粗糙的参考解也可以得到较精确的结果.
Keyword双材料 界面裂纹 应力强度因子 半权函数法 平面问题
Indexed ByCSCD
Language中文
Funding Organization国家自然科学基金资助 ,基金编号 :19872 0 66
CSCD IDCSCD:1565526
Citation statistics
Cited Times:3[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/42064
Collection力学所知识产出(1956-2008)
Corresponding Author马开平
Recommended Citation
GB/T 7714
马开平,柳春图. 应用半权函数法计算界面裂纹的应力强度因子[J]. 应用力学学报,2004,21(1):44-49.
APA 马开平,&柳春图.(2004).应用半权函数法计算界面裂纹的应力强度因子.应用力学学报,21(1),44-49.
MLA 马开平,et al."应用半权函数法计算界面裂纹的应力强度因子".应用力学学报 21.1(2004):44-49.
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