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Theory of Strain Percolation in Metals: Mean Field and Strong Boundary Universality Class

Published

Author(s)

R Thomson, Lyle E. Levine, D Stauffer

Abstract

For the percolation model of strain in a deforming metal proposed earlier, we develop a sum rule and mean field approximation 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 strain percolation is in the same universality class as standard percolation.
Citation
Physica A-Statistical Mechanics and Its Applications
Volume
283
Issue
No. 3-4

Keywords

dislocations, percolation theory, plastic deformation, self-organizaing critical system, work hardening

Citation

Thomson, R. , Levine, L. and Stauffer, D. (2000), Theory of Strain Percolation in Metals: Mean Field and Strong Boundary Universality Class, Physica A-Statistical Mechanics and Its Applications (Accessed July 15, 2024)

Issues

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Created July 31, 2000, Updated October 12, 2021