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The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

Soft Condensed Matter · Physics 2024-03-06 Vineet Dawara , Koushik Viswanathan

We consider the response of a one-dimensional system with friction. S.W. Shaw (Journal of Sound and Vibration, 1986) introduced the set up of different coefficients for the static and dynamic phases (also called stick and slip phases). He…

Dynamical Systems · Mathematics 2021-04-07 A. Bensoussan , A. Brouste , F. B. Cartiaux , C. Mathey , L. Mertz

We study a class of models for brittle fracture: elastic theory models which allow for cracks but not for plastic flow. We show that these models exhibit, at all finite temperatures, a transition to fracture under applied load similar to…

Materials Science · Physics 2009-10-28 Alex Buchel , James P. Sethna

We investigate the relevance of {\sl self-organized criticality (SOC)} models in previously published empirical datasets, which includes statistical observations in astrophysics, geophysics, biophysics, sociophysics, and informatics. We…

Instrumentation and Methods for Astrophysics · Physics 2025-05-05 Markus J. Aschwanden , Felix Scholkmann

Liquid may give strong cohesion properties to a granular medium, and confer a solid-like behavior. We study the erosion of a fixed circular aggregate of wet granular matter subjected to a flow of dry grains inside a half-filled rotating…

Soft Condensed Matter · Physics 2014-12-09 Gautier Lefebvre , Pierre Jop

On microscopic and mesoscopic scales, plastic flow of crystals is characterized by large intrinsic fluctuations. Deformation by crystallographic slip occurs in a sequence of intermittent bursts ('slip avalanches') with power-law size…

Materials Science · Physics 2009-11-11 Michael Zaiser , Paolo Moretti

The interplay between Coulomb friction and random excitations is studied experimentally by means of a rotating probe in contact with a stationary granular gas. The granular material is independently fluidized by a vertical shaker, acting as…

Soft Condensed Matter · Physics 2013-04-26 A. Gnoli , A. Puglisi , H. Touchette

Contact mechanics-based models for the friction of nominally flat rough surfaces have not been able to adequately capture certain key experimentally observed phenomenona, such as the transition from a static friction peak to a lower level…

Soft Condensed Matter · Physics 2022-07-27 Yang Xu , Julien Scheibert , Nikolaj Gadegaard , Daniel M. Mulvihill

The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to…

Statistical Mechanics · Physics 2009-10-31 Y. Moreno , J. B. Gomez , A. F. Pacheco

The experiments involving a slider moving on top of granular media consisting of photoelastic particles in two dimensions have uncovered elaborate dynamics that may vary from continuous motion to crackling, periodic motion, and stick-slip…

Soft Condensed Matter · Physics 2021-07-14 Chao Cheng , Aghil Abed Zadeh , Lou Kondic

We study several probability distributions relevant to the avalanche dynamics of elastic interfaces driven on a random substrate: The distribution of size, duration, lateral extension or area, as well as velocities. Results from the…

Disordered Systems and Neural Networks · Physics 2019-10-18 Alejandro B. Kolton , Pierre Le Doussal , Kay Joerg Wiese

Elastic systems, such as magnetic domain walls, density waves, contact lines, and cracks, are all pinned by substrate disorder. When driven, they move via successive jumps called avalanches, with power law distributions of size, duration…

Disordered Systems and Neural Networks · Physics 2015-06-22 Alexander Dobrinevski , Pierre Le Doussal , Kay Jörg Wiese

We investigate experimentally and theoretically the dynamics of a crack front during the micro-instabilities taking place in heterogeneous materials between two successive equilibrium positions. We focus specifically on the spatio-temporal…

Soft Condensed Matter · Physics 2018-12-12 Chopin Julien , Bhaskar Aditya , Jog Atharv , Ponson Laurent

We discuss crack propagation along the interface between two dissimilar materials. The crack edge separates two states of the interface, ``stick'' and ``slip''. In the slip region we assume that the shear stress is proportional to the…

Materials Science · Physics 2016-08-31 Efim A. Brener , V. I. Marchenko

We propose a simple rubber friction law, which can be used, e.g., in models of tire (and vehicle) dynamics. The friction law is tested by comparing numerical results to the full rubber friction theory (B.N.J. Persson, J. Phys.: Condensed…

Soft Condensed Matter · Physics 2015-05-19 B. N. J. Persson

Potential energy stored during the inter-seismic period by tectonic loading around faults is released during earthquakes as radiated energy, heat and fracture energy. The latter is of first importance since it controls the nucleation,…

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity $\bar{v}$ of the interface is decreased and the pinning state is approached. Scaling…

Statistical Mechanics · Physics 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

Compression experiments on micron-scale specimens and acoustic emission (AE) measurements on bulk samples revealed that the dislocation motion resembles a stick-slip process - a series of unpredictable local strain bursts with a scale-free…

The failure of frictional interfaces -- the process of frictional rupture -- is widely assumed to feature crack-like properties, with far-reaching implications for various disciplines, ranging from engineering tribology to earthquake…

We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive…

Mathematical Physics · Physics 2024-11-20 Pablo A. Ferrari , Stefano Olla