Calculation of J-Integral and Stress Intensity Factors using the Material Point Method
Calculation of J-Integral and Stress Intensity Factors using the Material Point Method
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DOI：
10.3970/cmes.2004.006.295
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发表时间：
2004-12
影响因子：
2.4
通讯作者：
Y. Guo;J. Nairn
中科院分区：
文献类型：
--
作者：
Y. Guo;J. Nairn
材料点法(MPM)是一种基于质点的无网格方法，将材料离散成一组材料点(点)，是一种数值分析动态固体力学问题的新方法。最近，MPM被推广到包括含显性裂纹的结构的动应力分析。本文考虑了由含显式裂纹的MPM计算得到的裂纹尖端参数，如J积分和应力强度因子。对纯模式I、II和混合模式加载的静力和动力问题的算例表明，MPM对计算断裂参数有很好的效果。MPM结果与其他数值方法和解析解符合得很好。关键词：材料点法、动态断裂、J积分、应力强度因子。
The Material Point Method (MPM), which is a particle-based, meshless method that discretizes ma- terial bodies into a collection of material points (the par- ticles), is a new method for numerical analysis of dy- namic solid mechanics problems. Recently, MPM has been generalized to include dynamic stress analysis of structures with explicit cracks. This paper considers eval- uation of crack-tip parameters, such as J-integral and stress intensity factors, from MPM calculations involv- ing explicit cracks. Examples for both static and dynamic problems for pure modes I and II or mixed mode loading show that MPM works well for calculation of fracture parameters. The MPM results agree well with results ob- tained by other numerical methods and with analytical solutions. keyword: Material point method (MPM), dynamic fracture, J integral, stress intensity factor.