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Stress Intensity Factor Error Index for Finite Element Analysis with Singular Elements

机译:奇异元有限元分析的应力强度因子误差指数

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摘要

An error index for the stress intensity factor (SIF) obtained from the finite element analysis (FEA) results using singular elementsis proposed. The index was developed by considering the facts that the analytical function shape of the crack tip displacement isknown and that the SIF can be evaluated from the displacements only. The advantage of the error index is that it has thedimension of the SIF and converges to zero when the actual error of the SIF by displacement correlation technique converges tozero. Numerical examples for some typical crack problems, including a mixed mode crack, whose analytical solutions are known,indicated the validity of the index. The degree of actual SIF error seems to be approximated by the value of the proposed index.
机译:提出了使用奇异元素的有限元分析(FEA)结果获得的应力强度因子(SIF)的误差指标。考虑到裂纹尖端位移的解析函数形状是已知的并且只能从位移评估SIF的事实来开发该指数。误差指标的优点是它具有SIF的维数,并且当通过位移相关技术实现的SIF的实际误差收敛到零时,收敛到零。某些典型裂纹问题(包括混合模式裂纹)的数值示例(其解析解是已知的)表明了该指数的有效性。实际SIF错误的程度似乎与建议索引的值近似。

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