| 数值方法计算应力强度因子的稳定性问题研究 |
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| 引用本文： | 彭自强,彭少民.数值方法计算应力强度因子的稳定性问题研究[J].武汉理工大学学报,2007(Z2). |
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| 作者姓名： | 彭自强 彭少民 |
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| 作者单位： | 武汉理工大学道路桥梁与结构工程湖北省重点试验室 武汉430070(彭自强)，武汉理工大学土木工程与建筑学院 武汉430070(彭少民) |
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| 摘 要： | 准确而稳定地计算动态应力强度因子是断裂问题研究中的难点之一。尽管精确性备受重视,但稳定性问题常被忽略。利用一个新建议的辅助函数,根据能量释放率原理,计算了不同断裂模式的应力强度因子,并针对裂纹拟静态扩展时穿越各个单元、虚拟扩展区位置变化、网格划分的微小差异所导致裂尖相对单元位置变化,验证了应力强度因子计算的可靠性和稳定性,结果令人满意。
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| 关 键 词： | 广义有限元法 应力强度因子 稳定性 |
Research on Numerical Stabilities for SIFs Calculations |
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| PENG Zi-qiang,PENG Shao-min.Research on Numerical Stabilities for SIFs Calculations[J].Journal of Wuhan University of Technology,2007(Z2). |
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| Authors: | PENG Zi-qiang PENG Shao-min |
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| Affiliation: | PENG Zi-qiang1,PENG Shao-min2 |
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| Abstract: | Accuracy and stability of dynamic stress intensity factors in numerical analysis are focal problems in fracture mechanics.However,research on accuracy is given much more efforts than on stability problem.In this paper,based on energy release rate theory,a fracture model with a new auxiliary function is suggested to calculate dynamic stress intensity factor with interaction energy integral method.Its reliability and stability are analyzed and testified with numerical examples for three major cases: quasi-static propagation of crack tip through elements,small translation of virtual extension domain,and relative variation of crack tip position in element due to trivial difference of meshing.Satisfactory results are obtained in these tests. |
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| Keywords: | generalized finite element method stress intensity factor stability |
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