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Numerical solutions of hypersingular integral equations for interface circular crack under axisymmetric loadings
Engineering Analysis With Boundary Elements ( IF 4.2 ) Pub Date : 2020-10-23 , DOI: 10.1016/j.enganabound.2020.09.016
Hao Chai , Yumei Bao , Zheng Zhang

Based on the coupled oscillatory characteristic of mode-1 and mode-2 near the interface crack tip, one kind of element for the relative displacements of the upper and lower surfaces of the axisymmetric interface crack is constructed. A universal numerical method for solving hypersingular integral equations of axisymmetric interface circular crack is established. For arbitrary normal and shear axisymmetric loadings, they are expanded into Taylor series, and the first five loadings are numerically calculated in a wide range of bimaterial constant ε=0-0.15. The detailed numerical results of the stress intensity factors K1 and K2 are given in tabular form. Comparisons with the existing exact solutions show that the numerical results in this paper have high accuracy. For arbitrary axisymmetric loadings, the stress intensity factors can be determined from the tabular numerical results by using the superposition principle.



中文翻译:

轴对称荷载下界面圆形裂纹超奇异积分方程的数值解

基于界面裂纹尖端附近模式1和模式2的耦合振动特性,构造了一种用于轴对称界面裂纹上下表面相对位移的单元。建立了求解轴对称界面圆形裂纹超奇异积分方程的通用数值方法。对于任意法向和剪切轴对称荷载,它们被扩展为泰勒级数,并且在广泛的双材料常数ε= 0-0.15范围内对前五个荷载进行数值计算。应力强度因子K 1K 2的详细数值结果以表格形式给出。与现有精确解的比较表明,本文的数值结果具有较高的精度。对于任意轴对称载荷,可以使用叠加原理从表格数值结果中确定应力强度因子。

更新日期:2020-10-30
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