2003/11/20 by А. И. Саичев, A. Saichev, D. Sornette +1 · 2 citations
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Earthquake Detection and Analysis #High-pressure geophysics and materials #Structural Response to Dynamic Loads #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physreve.71.016608
published as Phys. Rev. E 71, 016608 (2005) · 4 pages with 1 figure
arxiv created 2003/11/20 · openalex publication_date 2005/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using a simple mean-field rupture model with quenched disorder in the presence of thermal fluctuations introduced by S. Ciliberto et al., we provide an analytical theory of three ubiquitous empirical observations obtained in creep (constant applied stress) experiments: the initial Andrade-like and Omori-like 1/t decay of the rate of deformation and of fiber ruptures and the 1/( tc-t) critical time-to-failure behavior of acoustic emissions just prior to the macroscopic rupture. The lifetime of the material is controlled by a thermally activated Arrhenius nucleation process, describing the crossover between these two regimes, as shown by S. Ciliberto et al. Thus tiny thermal fluctuations may actually play an essential role in macroscopic deformation and rupture processes at room temperature. We also discover a reentrant dependence of the lifetime as a function of the amount of quenched disorder.