Viscoelastic Interfaces Driven in Disordered Media

Applications to Friction

François P. Landes (Autor)

Buch | Softcover

XIII, 206 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-36992-1 (ISBN)

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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.

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.

Erscheinungsdatum	21.10.2016
Reihe/Serie	Springer Theses
Zusatzinfo	XIII, 206 p. 79 illus., 37 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Applications of Nonlinear Dynamics and Chaos Theor • Applied mathematics • Complex Systems • Depinning transition • directed percolation • Driven visco-elastic interface • Dynamical phase transition • Dynamics and statics • Earthquakes dynamics • Environmental science, engineering and technology • Geophysics • Geophysics and Environmental Physics • Geophysics/Geodesy • Multiple absorbing state transition • Nonlinear Science • Physics • Physics and Astronomy • Quenched disorder • Solid friction and seismic faults • Stress accumulation in complex system
ISBN-10	3-319-36992-X / 331936992X
ISBN-13	978-3-319-36992-1 / 9783319369921
Zustand	Neuware