39 research outputs found
Equivalence of the train model of earthquake and boundary driven Edwards-Wilkinson interface
A discretized version of the Burridge-Knopoff train model with (non-linear
friction force replaced by) random pinning is studied in one and two
dimensions. A scale free distribution of avalanches and the Omori law type
behaviour for after-shocks are obtained. The avalanche dynamics of this model
becomes precisely similar (identical exponent values) to the Edwards-Wilkinson
(EW) model of interface propagation. It also allows the complimentary
observation of depinning velocity growth (with exponent value identical with
that for EW model) in this train model and Omori law behaviour of after-shock
(depinning) avalanches in the EW model.Comment: 8 pages, 16 fig
Modes of failures in disordered solids
The two principal ingredients determining the failure modes of disordered
solids are the level of heterogeneity and the length scale of the region
affected in the solid following a local failure. While the latter facilitates
damage nucleation, the former leads to diffused damage, the two extreme failure
modes. In this study, using the random fiber bundle model as a prototype for
disorder solids, we classify every failure modes that are the results of
interplay between these two effects. We obtain scaling criteria for the
different modes and propose a general phase diagram that provides a framework
for understanding previous theoretical and experimental attempts of
interpolation between these modes.Comment: 10 pages, 13 figure