Theory of strain percolation in metals: mean field and strong boundary universality class

Robb Thomson, L.e Levine and D Stauffer

Physica A: Statistical Mechanics and its Applications, 2000, vol. 283, issue 3, 307-327

Abstract: For the percolation model of strain in a deforming metal proposed earlier, we develop sum rule and mean field approximations which predict a critical point. The numerical work is restricted to the simpler of two cases proposed in the earlier work, in which the cell walls are “strong”, and unzipping of the dislocation entities which lock the walls into the lattice is not permitted. For this case, we find that strain percolation is a new form of correlated percolation, but that it is in the same universality class as standard percolation.

Keywords: Dislocation percolation; Metal deformation (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:283:y:2000:i:3:p:307-327

DOI: 10.1016/S0378-4371(00)00097-2

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