Role of disorder in the size-scaling of material strength

Details Role of disorder in the size-scaling of material strength Role of disorder in the size-scaling of material strength

2007-08-22

arxiv.org/abs/0708.3090v1

Physics

Condensed Matter

Materials Science

4 pages 5 figures

Scientific paper

10.1103/PhysRevLett.100.055502

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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