Interaction effect of stress intensity factors for any number of collinear interface cracks
Interaction effect of stress intensity factors for any number of collinear interface cracks
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DOI：
10.1023/a:1007313200779
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发表时间：
1997-03
影响因子：
2.5
通讯作者：
N. Noda;K. Oda
中科院分区：
文献类型：
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作者：
N. Noda;K. Oda
本文计算了不同间距、不同弹性常数和不同裂纹数的界面裂纹的应力强度因子，并讨论了界面裂纹的相互作用效应。在体力法的基础上，将问题表示为奇异积分方程组。在数值分析中，满足边界条件的体力密度的未知函数用基本密度函数和幂函数的乘积表示。这里，选择基本密度函数来精确表示单一界面裂纹引起的应力场。通过与其他研究人员得到的结果进行比较和对边界条件的符合性检验，验证了本文分析的准确性。计算表明，该方法对这些问题和均匀材料中的普通裂纹问题都能给出快速收敛的数值结果。界面裂纹的交互效应与几何条件相同的普通共线裂纹相似，最大应力强度因子与界面裂纹个数的倒数成线性关系。
In this study, the stress intensity factors for any number of interface cracks are calculated for various spacings, elastic constants and number of cracks and the interaction effect of interface cracks is discussed. The problem is formulated as a system of singular integral equations on the basis of the body force method. In the numerical analysis, the unknown functions of the body force densities which satisfy the boundary conditions are expressed by the products of fundamental density functions and power series. Here, the fundamental density functions are chosen to express the stress field due to a single interface crack exactly. The accuracy of the present analysis is verified by comparing the present results with the results obtained by other researchers and examining the compliance with boundary conditions. The calculation shows that the present method gives rapidly converging numerical results for those problems as well as ordinary crack problems in homogeneous materials. The interaction effect of interface crack appears in a similar way to ordinary collinear cracks having the same geometrical condition and the maximum stress intensity factor is shown to be linearly related to the reciprocal of number of interface cracks.