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Related papers: Avalanche localization and crossover scaling in am…

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We report on the computer study of a lattice system that relaxes from a metastable state. Under appropriate nonequilibrium randomness, relaxation occurs by avalanches, i.e., the model evolution is discontinuous and displays many scales in a…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. I. Hurtado , J. Marro , P. L. Garrido

We study the correlations between avalanches in the depinning dynamics of elastic interfaces driven on a random substrate. In the mean field theory (the Brownian force model), it is known that the avalanches are uncorrelated. Here we obtain…

Disordered Systems and Neural Networks · Physics 2020-03-18 Pierre Le Doussal , Thimothée Thiery

I discuss the size distribution ${\cal N}(S)$ of avalanches occurring at the yielding transition of mean field (i.e., Hebraud-Lequeux) models of amorphous solids. The size distribution follows a power law dependence of the form: ${\cal…

Statistical Mechanics · Physics 2015-10-21 E. A. Jagla

Plastic deformation of crystalline and amorphous matter often involves intermittent local strain burst events. To understand the physical background of the phenomenon a minimal stochastic mesoscopic model was introduced, where…

Materials Science · Physics 2017-02-15 Péter Dusán Ispánovity , Dániel Tüzes , Péter Szabó , Michael Zaiser , István Groma

We study the properties of strain bursts (dislocation avalanches) occurring in two-dimensional discrete dislocation dynamics models under quasistatic stress-controlled loading. Contrary to previous suggestions, the avalanche statistics…

A two dimensional amorphous material is modeled as an assembly of mesoscopic elemental pieces coupled together to form an elastically coherent structure. Plasticity is introduced as the existence of different minima in the energy landscape…

Materials Science · Physics 2007-07-05 E. A. Jagla

Materials are often heterogeneous at various length scales, with variations in grain structure, defects, and composition which has a strong influence on the emergent macroscopic plastic behavior. In particular, heterogeneities lead to…

Materials Science · Physics 2024-06-17 Dénes Berta , David Kurunczi-Papp , Lasse Laurson , Péter Dusán Ispánovity

We study avalanches in a model for a planar crack propagating in a disordered medium. Due to long-range interactions, avalanches are formed by a set of spatially disconnected local clusters, the sizes of which are distributed according to a…

Statistical Mechanics · Physics 2015-05-14 Lasse Laurson , Stephane Santucci , Stefano Zapperi

The plastic deformation of crystalline and other heterogeneous materials often manifests in stochastic intermittent events indicating the criticality of plastic behavior. Previous studies demonstrated that the presence of short-ranged…

Statistical Mechanics · Physics 2026-01-22 Dénes Berta , Barna Mendei , Péter Dusán Ispánovity

Plastic deformation of crystals proceeds through a sequence of intermittent slip avalanches with scale-free (power-law) size distribution. On macroscopic scales, however, plastic flow is known to be smooth and homogeneous. In the present…

Statistical Mechanics · Physics 2009-11-13 Michael Zaiser , Nikos Nikitas

A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a classical critical point but the mechanism leading to…

Disordered Systems and Neural Networks · Physics 2016-10-14 Francisco J. Perez-Reche , Carles Triguero , Giovanni Zanzotto , Lev Truskinovsky

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing…

Statistical Mechanics · Physics 2009-11-07 Raul Cruz Hidalgo , Yamir Moreno , Ferenc Kun , Hans J. Herrmann

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

Yield stress materials flow if a sufficiently large shear stress is ap- plied. Although such materials are ubiquitous and relevant for indus- try, there is no accepted microscopic description of how they yield, even in the simplest…

Soft Condensed Matter · Physics 2015-01-15 Jie Lin , Edan Lerner , Alberto Rosso , Matthieu Wyart

We investigate thermal avalanche dynamics in amorphous solids using elastoplastic models with local activation rules and no external driving. Dynamical heterogeneities, quantified through persistence measurements and the associated…

Disordered Systems and Neural Networks · Physics 2026-02-26 Gieberth Rodriguez-Lopez , Ezequiel E. Ferrero

Until now, most of our knowledge about the universality class of crystal plasticity has come from simulations using discrete dislocation dynamics. These are force-controlled, typically at zero temperature, and deal with the creation and…

Materials Science · Physics 2015-01-13 Georgios Tsekenis , Thomas F. Fehm , Jonathan T. Uhl , Nigel Goldenfeld , Karin A. Dahmen

A mesoscopic model of amorphous plasticity is discussed in the context of depinning models. After embedding in a d + 1 dimensional space, where the accumulated plastic strain lives along the additional dimension, the gradual plastic…

Soft Condensed Matter · Physics 2016-07-06 Botond Tyukodi , Sylvain Patinet , Stéphane Roux , Damien Vandembroucq

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

We study numerically the yielding transition of a two dimensional model glass subjected to athermal quasi-static cyclic shear deformation, with the aim of investigating the effect on the yielding behaviour of the degree of annealing, which…

Soft Condensed Matter · Physics 2022-03-02 Himangsu Bhaumik , Giuseppe Foffi , Srikanth Sastry

Jammed soft disks exhibit avalanches of particle rearrangements under quasistatic shear. We follow the avalanches using steepest descent to decompose them into individual localized rearrangements. We characterize the local structural…

Soft Condensed Matter · Physics 2020-09-25 Ge Zhang , Sean Ridout , Andrea J. Liu