Tri-critical behavior in rupture induced by disorder
Condensed Matter
2009-10-28 v1
Abstract
We discover a qualitatively new behavior for systems where the load transfer has limiting stress amplification as in real fiber composites. We find that the disorder is a relevant field leading to tri--criticality, separating a first-order regime where rupture occurs without significant precursors from a second-order regime where the macroscopic elastic coefficient exhibit power law behavior. Our results are based on analytical analysis of fiber bundle models and numerical simulations of a two-dimensional tensorial spring-block system in which stick-slip motion and fracture compete.
Cite
@article{arxiv.cond-mat/9609022,
title = {Tri-critical behavior in rupture induced by disorder},
author = {J. V. Andersen and D. Sornette and K. -T. Leung},
journal= {arXiv preprint arXiv:cond-mat/9609022},
year = {2009}
}
Comments
Revtex, 10 pages, 4 figures available upon request