Scaling with respect to disorder in time-to-failure |
| |
| Authors: | D Sornette JV Andersen |
| |
| Institution: | (1) Laboratoire de Physique de la Matière Condensée (CNRS UMR 6622), Université de Nice-Sophia Antipolis, Parc Valrose, 06108 Nice, France, FR;(2) Department of Earth and Space Sciences and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095-1567, USA, US;(3) Department of Mathematics, Imperial College, Huxley Building, 180 Queen's Gate, London SW7 2BZ, England, GB |
| |
| Abstract: | We revisit a simple dynamical model of rupture in random media with long-range elasticity to test whether rupture can be seen
as a first-order or a critical transition. We find a clear scaling of the macroscopic modulus as a function of time-to-rupture
and of the amplitude of the disorder, which allows us to collapse neatly the numerical simulations over more than five decades
in time and more than one decade in disorder amplitude onto a single master curve. We thus conclude that, at least in this
model, dynamical rupture in systems with long-range elasticity is a genuine critical phenomenon occurring as soon as the disorder
is non-vanishing.
Received: 11 July 1997 / Revised: 6 November 1997 / Accepted: 10 November 1997 |
| |
| Keywords: | PACS 64 60 -i General studies of phase transitions - 62 20 Mk Fatigue brittleness fracture and cracks - 05 70 Jk Critical point phenomena |
| 本文献已被 SpringerLink 等数据库收录！ |
|
