Avalanches and clusters in planar crack front propagation
Avalanches and clusters in planar crack front propagation
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DOI：
10.1103/physreve.81.046116
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发表时间：
2010-04-01
影响因子：
2.4
通讯作者：
Zapperi, Stefano
中科院分区：
文献类型：
--
作者：
Laurson, Lasse;Santucci, Stephane;Zapperi, Stefano
我们研究了在无序介质中平面裂纹扩展的雪崩模型。由于远距离相互作用，雪崩是由一组空间上不相连的局部簇形成的，其大小按照指数tau(a)=1.5的幂律分布。我们推导了局部簇指数tau(a)和全局雪崩指数tau之间的标度关系tau(a)=2 tau-1。对于长度尺度大于与拉金长度成比例的交叉长度，局部簇的纵横比与线模型的粗糙度指数成比例。本文的分析不仅解释了有机玻璃板平面裂纹崩塌的实验结果，而且也适用于其他具有远距离相互作用的体系。
We study avalanches in a model for a planar crack propagating in a disordered medium. Due to long-range interactions, avalanches are formed by a set of spatially disconnected local clusters, the sizes of which are distributed according to a power law with an exponent tau(a)=1.5. We derive a scaling relation tau(a)=2 tau-1 between the local cluster exponent tau(a) and the global avalanche exponent tau. For length scales longer than a crossover length proportional to the Larkin length, the aspect ratio of the local clusters scales with the roughness exponent of the line model. Our analysis provides an explanation for experimental results on planar crack avalanches in Plexiglas plates, but the results are applicable also to other systems with long-range interactions.