Role of Disorder in the Size Scaling of Material Strength

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© 2008 American Physical Society (APS). This is the accepted version of the following article: Alava, Mikko J. & Nukala, Phani K. V. V. & Zapperi, Stefano. 2008. Role of Disorder in the Size Scaling of Material Strength. Physical Review Letters. Volume 100, Issue 5. 055502/1-4. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.100.055502, which has been published in final form at http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.100.055502.
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School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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055502/1-4

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Physical Review Letters, Volume 100, Issue 5

Abstract

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 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 revealed only 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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Alava, Mikko J. & Nukala, Phani K. V. V. & Zapperi, Stefano. 2008. Role of Disorder in the Size Scaling of Material Strength. Physical Review Letters. Volume 100, Issue 5. 055502/1-4. ISSN 0031-9007 (printed). DOI: 10.1103/physrevlett.100.055502.