Asymptotic Behavior of a Strain Percolation Model for a Deforming Metal

Published

March 1, 2003

Author(s)

Y Shim, Lyle E. Levine, R M. Thomson, D E. Kramer

Abstract

In this paper, we present a recent advance in theoretical understanding of a deforming metal, using a strain percolation model which possibly explains spasmodic, fine slip line burst events occurring in the metal. The model addresses how the additional strain nucleated in a cell propagates through a dislocation cell structure, and predicts that near the critical point, the system exhibits critical power-law behavior. It is found that although the model displays long-transient behavior associated with the initial strain in the model, asymptotically critical behavior observed in the system is well expalined by standard percolation theory. The long-transient behavior suggests that size effects could be an important factor for the stress-strain relation in the metal. A detailed study reveals that the universal aspects of the model, i.e., the evoluation into an initial condition-independent, critical state, arise from collective behavior of a huge number of self-organizing critical cells that develop the minimum or at least marginally stable strain.

Citation

Computer Simulation Studies in Condensed-Matter Physics

Volume

90

Pub Type

Journals

Keywords

dislocations, percolation, plastic deformation, self-organizing criticality

Citation

Shim, Y. , Levine, L. , Thomson, R. and Kramer, D. (2003), Asymptotic Behavior of a Strain Percolation Model for a Deforming Metal, Computer Simulation Studies in Condensed-Matter Physics (Accessed October 17, 2025)