NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
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
Published
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
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)