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Viscoelastic Interfaces Driven in Disordered Media: Applications to Friction: Springer Theses

Autor François P. Landes
en Limba Engleză Hardback – 21 iul 2015
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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Specificații

ISBN-13: 9783319200217
ISBN-10: 3319200216
Pagini: 220
Ilustrații: XIII, 206 p. 79 illus., 37 illus. in color.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.49 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Springer Theses

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Introduction to Friction.- Application of Friction to Seismic Faults.- Elastic Interfaces Driven in Disordered Media.- Viscoelastic Interfaces Driven in Disordered Media.- Directed Percolation: a Non-Markovian Variant.- General Perspectives.

Textul de pe ultima copertă

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.

Caracteristici

Nominated as an outstanding PhD thesis by the Université Paris-Sud, France Gives a pedagogical introduction to solid friction and fault dynamics, aimed at the needs of statistical physicists Reveals the crucial role of the interplay between disorder and relaxation in modeling solid friction and seismic faults Includes supplementary material: sn.pub/extras