The Analysis of Dynamic Stress Intensity Factor for Semi-Circular Surface Crack Using Time-Domain BEM Formulation
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摘要: 发展了时域边界元法在分析三维裂纹的动态应力强度因子(DSIF)方面的应用,采用了等参单元及其奇性元很好地模拟了三维裂纹应力场奇异性,首次用时域边界元法位移方程计算了半圆表面裂纹的DSIF。提出并讨论了时间步长的选取方案。自编了时域边界元法动态分析程序,几个算例说明了时域边界元法在三维动态断裂问题中可以得到很好的精度。Abstract: The time-domain BEM was developed to analyze the dynamic stress intensity factor(DSIF) of 3-D elastodynamic crack problems.To simulate the stress singularity along the front of a crack, eight-node isoparametric singular elements were used,and the DSIF for a semi-circular surface crack was firstly calculated based on displacement equation using the time-domain BEM formulation.The new scheme to determine the time step was brought forward.By the dynamic analysis program of time-domain BEM compiled by us,several numerical examples are presented,which demonstrate the unconditional stability and high accuracy of time-domain BEM applied to 3-D elastodynamic crack problems.
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