J积分在多层介质中的守恒性和其应用

基金项目: 国家自然科学基金资助项目(19672014);国家杰出青年基金资助项目(59625814);中国博士后科学基金资助项目

Conservation Law and Application of J-Integral in Multi-Materials

1.
Department of Mechanics, Shandong Institute of Technology, Zibo, Shandong 255012, P R China;
2.
Department of Civil Engineering, Dalian University of Technology, Dalian 116024, P R China;
3.
Department of Engineering Mechanics, Dalian Univer sity of Technology, Dalian 116024, P R China

摘要: 首先证明和讨论了当裂纹平行于多层介质界面时,其裂纹尖端J积分的守恒性:然后建立了具有界面裂纹的由4种介质构成的材料分析模型,根据J积分在多层介质中的守恒性原理,提出了该模型的Ⅰ型断裂能量释放率守恒假设,并经过了数值实验的验证。通过能量分析和量纲分析,用渐近分析方法得到了计算该模型结构界面裂纹尖端能量释放率和复应力强度因子的分析公式,并且进行了讨论。
- 多层介质 /
- J积分守恒性 /
- 界面裂纹 /
- 复应力强度因子
Abstract: The conservation law of J integral in two-media with a crack paralleling to the interface of the two media was firstly proved by analytical and numerical finite element method.Then a schedule model was established that an interface crack is inserted in four media.According to the J-integral conservation law on multi-media,the energy release ratio of-type crack was considered to be conservation when the middle medium layers are very thin.And the conservation law was also convinced by numerical method.By means of the dimension analysis on the model,the asymptotic results and formula calculating the energy release ratio and complex stress intensity factor are presented.
- multi-materials /
- J-integral conservation law /
- interface crack /
- complex stress intensity factor

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