Tri-critical behavior in rupture induced by disorder

Preprint

2 September 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9609022

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.

Keywords

NUMERICAL SIMULATIONS
QUALITATIVELY
TRI CRITICAL
ORDER REGIME
FRACTURE
BEHAVIOR
RUPTURE
SPRING
FIBER

All Related Versions

Version 1, 1996-09-02, ArXiv
Published version: Physical Review Letters, 78 (11), 2140.

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