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Traveling waves in a spring-block chain sliding down a slope

Authors :: Guillaume James
Jose Eduardo Morales Morales
Arnaud Tonnelier
Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems (BIPOP)
Inria Grenoble - Rhône-Alpes
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Laboratoire Jean Kuntzmann (LJK )
Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])
Source :: Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2017, 96 (1), pp.012227. ⟨10.1103/PhysRevE.96.012227⟩, Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2017, 96 (1), pp.012227. ⟨10.1103/PhysRevE.96.012227⟩
Publication Year :: 2017
Publisher :: HAL CCSD, 2017.
Abstract: International audience; Travelling waves are studied in a spring slider-block model. We explicitly construct front waves (kinks) for a piecewise-linear spinodal friction force. Pulse waves are obtained as the matching of two traveling fronts with identical speeds. Explicit formulas are obtained for the wavespeed and the wave form in the anti-continuum limit. The link with localized waves in a Burridge-Knopoff model of an earthquake fault is briefly discussed.

Details

Language :: English
ISSN :: 15393755 and 15502376
Database :: OpenAIRE
Journal :: Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2017, 96 (1), pp.012227. ⟨10.1103/PhysRevE.96.012227⟩, Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2017, 96 (1), pp.012227. ⟨10.1103/PhysRevE.96.012227⟩
Accession number :: edsair.doi.dedup.....759dc401b9e308efe50fdb7a072de5ea
Full Text :: https://doi.org/10.1103/PhysRevE.96.012227⟩