Variation of the stress intensity factor along the crack front of interacting semi-elliptical surface cracks
Variation of the stress intensity factor along the crack front of interacting semi-elliptical surface cracks
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DOI：
10.1007/s004190000113
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发表时间：
2001-01-01
影响因子：
2.8
通讯作者：
Oohashi, T
中科院分区：
文献类型：
--
作者：
Noda, NA;Kobayashi, K;Oohashi, T
本研究考虑泊松比v=0.3时两个半椭圆共面表面裂纹之间的相互作用。基于体积力法的思想，该问题被表述为奇异积分方程组。在数值计算中，未知的体积力密度密度通过基本密度函数和多项式的乘积来近似。结果表明，对于各种几何条件，本方法可以非常准确地沿裂纹前沿产生应力强度因子的平滑变化。当裂纹 1 的尺寸大于裂纹 2 的尺寸时，最大应力强度因子出现在裂纹 1 的某一点 beta (1) = 177 度处。沿着裂纹 1 的外侧，即在类似于 90 度的 beta (1) = 0 处，即使两个裂纹非常接近，相互作用也可以忽略不计。当两个裂纹以它们两个最近点的距离超过小裂纹的大直径的方式间隔开时，相互作用可以忽略不计。半椭圆裂纹的应力强度因子的变化被制成表格和图表。
In this study, the interaction between two semi-elliptical co-planar surface cracks is considered when Poisson's ratio v = 0.3. The problem is formulated as a system of singular integral equations, based on the idea of the body force method. In the numerical calculation, the unknown density of body force density is approximated by the product of a fundamental density function and a polynomial. The results show that the present method yields smooth variations of stress intensity factors along the crack front very accurately, for various geometrical conditions. When the size of crack 1 is larger than the size of crack 2, the maximum stress intensity factor appears at a certain point, beta (1) = 177 degrees, of crack 1. Along the outside of crack 1, that is at beta (1) = 0 similar to 90 degrees, the interaction can be negligible even if the two cracks are very close. The interaction can be negligible when the two cracks are spaced in such a manner that their two closest points are separated by a distance exceeding the small crack's major diameter. The variations of stress intensity factor of a semi-elliptical crack are tabulated and charted.