Scaling and patterns in surface fragmentation processes

I.M. Sokolov and A. Blumen

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 299-306

Abstract: We model the failure of inhomogeneous surface layers under expansion. The quenched disorder is accounted for by a probability distribution (PD) of local breakdown strengths. The ensuing crack patterns range from percolation-like defect aggregates to well-defined polygons. Since no load sharing takes place in surface fragmentation, the effects governing crack propagation are local: the defects interact only within some correlation length. Fragmentation can be viewed as anisotropic, correlated percolation, where the formation of a new defect depends on the defects already present. Both the overall picture and the scaling of the fragment sizes depend strongly on the PD.

Keywords: Scaling; Surface fragmentation; Load sharing (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:299-306

DOI: 10.1016/S0378-4371(98)00606-2

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