Tri-critical behavior in rupture induced by disorder

Details Tri-critical behavior in rupture induced by disorder Tri-critical behavior in rupture induced by disorder

1996-09-02

arxiv.org/abs/cond-mat/9609022v1

Phys. Rev. Lett. 78, 2140-2143 1997

Physics

Condensed Matter

Revtex, 10 pages, 4 figures available upon request

Scientific paper

10.1103/PhysRevLett.78.2140

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.

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