Scaling of interfaces in brittle fracture and perfect plasticity

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Abstract

The roughness properties of two-dimensional fracture surfaces as created by the slow failure of random fuse networks are considered and compared to yield surfaces of perfect plasticity with similar disorder. By studying systems up to a linear size L=350 it is found that in the cases studied the fracture surfaces exhibit self-affine scaling with a roughness exponent close to 2/3, which is asymptotically exactly true for plasticity though finite-size effects are evident for both. The overlap of yield or minimum energy and fracture surfaces with exactly the same disorder configuration is shown to be a decreasing function of the system size and to be of a rather large magnitude for all cases studied. The typical “overlap cluster” length between pairs of such interfaces converges to a constant with increasing L.

Details

Original languageEnglish
Pages (from-to)6312-6319
JournalPhysical Review E
Volume61
Issue number6
Publication statusPublished - 2000
MoE publication typeA1 Journal article-refereed

ID: 3364871