Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Asymptotic Behavior of a Strain Percolation Model for a Deforming Metal



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


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.
Computer Simulation Studies in Condensed-Matter Physics


dislocations, percolation, plastic deformation, self-organizing criticality


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 June 20, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created February 28, 2003, Updated October 12, 2021