Percolation theory for the plastic yield transition
Journal Article
·
· J. Appl. Phys.; (United States)
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 ..nu.., ..gamma.., and ..beta.. for these areas will be given. Only the value of ..beta.., the exponent corresponding to the infinite cluster, is the same as that for the standard continuum percolation model.
- Research Organization:
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI ID:
- 6572330
- Journal Information:
- J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 65:1; ISSN JAPIA
- Country of Publication:
- United States
- Language:
- English
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