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

Published

August 1, 2003

Author(s)

R M. Thomson, Lyle E. Levine, D Stauffer

Abstract

In previous papers, we have introduced a percolation model for the transport of strain through a deforming metal. In this paper, we summarize the results from that model, and discuss how the model can be applied to the deformation problem. In particular, we outline the primary experimental features of deformation which the model must address, and discuss how the model is to be used in such a program. It is proposed that discrete percolation events correspond to slip line formation in a deforming metal, and it is shown that the deforming solid is a self-organizing system. It is recognized that deformation is localized in space and time, that deformation is fundamentally rate dependent, that hardening depends upon relaxation processes associated with discrete percolating events, and that secondary slip is an essential part of band growth and relaxation processes.

Citation

Physica A-Statistical Mechanics and Its Applications

Volume

283

Issue

No. 3-4

Pub Type

Journals

Keywords

dislocation, percolation, plastci deformation, self-organizing criticality, slip bands

Citation

Thomson, R. , Levine, L. and Stauffer, D. (2003), Theroy of Strain Percolation in Metals: Mean Field and Strong Boundary Universality Class, Physica A-Statistical Mechanics and Its Applications (Accessed April 25, 2024)