Viscoelastic Interfaces Driven in Disordered Media

Applications to Friction

Nonfiction, Science & Nature, Science, Physics, Chaotic Behavior, Earth Sciences, Geophysics, Mathematics
Cover of the book Viscoelastic Interfaces Driven in Disordered Media by François P. Landes, Springer International Publishing
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Author: François P. Landes ISBN: 9783319200224
Publisher: Springer International Publishing Publication: July 9, 2015
Imprint: Springer Language: English
Author: François P. Landes
ISBN: 9783319200224
Publisher: Springer International Publishing
Publication: July 9, 2015
Imprint: Springer
Language: English

This book offers an in-depth study of two well-known models of “avalanche” dynamics, modified minimally by the inclusion of relaxation. Many complex systems respond to continuous inputs of energy by accumulation of stress over time, interrupted by sudden energy releases called avalanches. The first model studied is the viscoelastic interface driven over disorder, which is shown to display the fundamental features of friction. In the mean-field limit, the friction force derived semi-analytically is compatible with laboratory experiments (displaying both velocity weakening and contact aging). In two dimensions, large-scale numerical simulations are in good agreement with the basic features of real earthquakes (Gutenberg-Richter Law, aftershock migration). The second model is a non-Markovian variant of Directed Percolation, in which we observe that the universality class is only partly modified by relaxation, a promising finding with respect to our first model.

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This book offers an in-depth study of two well-known models of “avalanche” dynamics, modified minimally by the inclusion of relaxation. Many complex systems respond to continuous inputs of energy by accumulation of stress over time, interrupted by sudden energy releases called avalanches. The first model studied is the viscoelastic interface driven over disorder, which is shown to display the fundamental features of friction. In the mean-field limit, the friction force derived semi-analytically is compatible with laboratory experiments (displaying both velocity weakening and contact aging). In two dimensions, large-scale numerical simulations are in good agreement with the basic features of real earthquakes (Gutenberg-Richter Law, aftershock migration). The second model is a non-Markovian variant of Directed Percolation, in which we observe that the universality class is only partly modified by relaxation, a promising finding with respect to our first model.

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