无序在材料强度尺度化中的作用
Role of disorder in the size-scaling of material strength
摘要：
通过对晶格断裂模型的数值模拟，研究了含缺陷无序材料的强度与样本尺寸的关系。我们发现一个政权之间的交叉控制的波动，由于混乱和另一个控制的应力集中，统治连续断裂力学。结果制定的尺度法涉及一个统计断裂过程区。它的存在和标度性质只能通过对许多无序结构的采样来揭示。标度律是在良好的协议与实验结果从缺口纸样品。
英文摘要：
We study the sample size dependence of the strength of disordered materials with a flaw, by numerical simulations of lattice models for fracture. We find a crossover between a regime controlled by the fluctuations due to disorder and another controlled by stress-concentrations, ruled by continuum fracture mechanics. The results are formulated in terms of a scaling law involving a statistical fracture process zone. Its existence and scaling properties are only revealed by sampling over many configurations of the disorder. The scaling law is in good agreement with experimental results obtained from notched paper samples.
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