Simulation of the spontaneous growth of a dynamic crack without constraints on the crack tip path
Simulation of the spontaneous growth of a dynamic crack without constraints on the crack tip path
复制标题
模拟动态裂纹的自发生长，不受裂纹尖端路径的限制
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
T. Yamashita
中科院分区：
文献类型：
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作者：
N. Kame;T. Yamashita
摘要使用新开发的分析方法模拟动态面内剪切裂纹的自发生长，该方法不需要裂纹尖端路径的先验约束，这与其他经典研究不同。我们制定的边界积分方程的问题，积分核的超奇异性被删除，采取有限的部分。我们的分析表明，动态裂纹扩展自发逮捕后不久，弯曲的裂纹尖端，即使在一个均匀分布的断裂强度的均匀应力介质。这表明，裂纹扩展动力学对非平面裂纹形状的形成有重要影响，从而对地震破裂的阻止起着至关重要的作用。
SUMMARY The spontaneous growth of a dynamic in-plane shear crack is simulated using a newly developed method of analysis in which no a priori constraint is required for the crack tip path, unlike in other classical studies. We formulate the problem in terms of boundary integral equations; the hypersingularities of the integration kernels are removed by taking the finite parts. Our analysis shows that dynamic crack growth is spontaneously arrested soon after the bending of the crack tips, even in a uniformly stressed medium with homogeneously distributed fracture strengths. This shows that the dynamics of crack growth has a significant eVect on forming the non-planar crack shape, and consequently plays an essential role in the arrest of earthquake rupturing.