Abstract
It will be shown how the percolation threshold in a standard continuum percolation model corresponds to the plastic yield transition in a dislocation model with infinitely strong point obstacles and with no dislocation cancellation allowed. The cluster properties of areas defined to be ‘‘open’’ to dislocation loop expansion will be simulated using a lattice model and Monte Carlo methods. The critical exponents ν, γ, and β for these areas will be given. Only the value of β, the exponent corresponding to the infinite cluster, is the same as that for the standard continuum percolation model.
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