Percolation mechanism of failure of a planar assembly of interlocked osteomorphic elements
Percolation mechanism of failure of a planar assembly of interlocked osteomorphic elements
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互锁骨形态元件平面组件失效的渗透机制
DOI：
10.1016/j.engfracmech.2006.07.012
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发表时间：
2007
影响因子：
5.4
通讯作者：
A. Kanel
中科院分区：
文献类型：
--
作者：
A. Molotnikov;Y. Estrin;A. Dyskin;E. Pasternak;A. Kanel
我们考虑由互锁单元(所谓的骨形块)通过它们的几何和空间排列而组合在一起的板的破坏行为。由于裂纹在组件上扩展的整体失效被其分段性质所阻止，因此根据渗流理论来考虑随机形式的单元失效。整体失效与损害达到渗流极限有关，渗流极限是通过计算机实验计算得出的。与正方形二维格子上的经典渗流问题相比，互锁的骨形元件组装的一个新特征是发生雪崩般的失败。结果表明，这导致了渗流极限的显著降低，在我们的情况下，渗流极限约占失效元件的25%。进一步证明了经典渗流理论中常见的标度律仍然适用于所考虑的情况。
We consider the failure behaviour of a plate assembled from interlocking elements (the so-called osteomorphic blocks) held together by virtue of their geometry and spatial arrangement. As overall failure by crack propagation across the assembly is inhibited by its segmented nature, failure of elements in a random fashion is considered in terms of percolation theory. Overall failure is associated with damage reaching a percolation limit, which is calculated using computer experiments. A new feature of the assembly of interlocked osteomorphic elements as compared to a classical problem of percolation on a square 2-D lattice is the occurrence of avalanches of failures. It is shown that this leads to a significant decrease of the percolation limit, which in our case amounts to about 25% of failed elements. It is further shown that usual scaling laws found in classical percolation theory still apply for the case considered.