Roughness of interfacial crack fronts: stress-weighted percolation in the damage zone.
Roughness of interfacial crack fronts: stress-weighted percolation in the damage zone.
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DOI：
10.1103/physrevlett.90.045505
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发表时间：
2002-07
影响因子：
8.6
通讯作者：
A. Hansen
中科院分区：
文献类型：
--
作者：
A. Hansen
本文采用基于过程区而非断裂线演化的模型，对沿非均质界面缓慢传播的面内断裂锋面的粗糙度指数zeta进行了数值研究。我们发现zeta=0.60±0.05。仿真结果首次与实验结果吻合较好。然后，我们通过zeta=nu/(1+nu)证明粗糙度指数与应力加权渗流问题的相关长度指数nu相关。应力加权渗流问题的数值研究得出nu=1.54, zeta=0.61，与我们的数值结果和实验观察结果非常吻合。
We study numerically the roughness exponent zeta of an in-plane fracture front slowly propagating along a heterogeneous interface embedded in an elastic body, using a model based on the evolution of a process zone rather than a fracture line. We find zeta=0.60+/-0.05. For the first time, simulation results are in close agreement with experimental results. We then show that the roughness exponent is related to the correlation length exponent nu of a stress-weighted percolation problem through zeta=nu/(1+nu). A numerical study of the stress-weighted percolation problem yields nu=1.54 giving zeta=0.61 in close agreement with our numerical results and with experimental observations.