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Related papers: Fronts Propagation at the Onset of Plastic Yieldin…

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We extend our earlier shear-transformation-zone (STZ) theory of amorphous plasticity to include the effects of thermally assisted molecular rearrangements. This version of our theory is a substantial revision and generalization of…

Materials Science · Physics 2009-11-10 M. L. Falk , J. S. Langer , L. Pechenik

Failure and flow of amorphous materials are central to various phenomena including earthquakes and landslides. There is accumulating evidence that the yielding transition between a flowing and an arrested phase is a critical phenomenon, but…

Soft Condensed Matter · Physics 2017-07-31 Jie Lin , Matthieu Wyart

Elasto-plastic models are among the most successful ways to study the critical properties of the plastic yielding transition of amorphous solids. Typically these models are studied under a condition of constant transition rates from one…

Statistical Mechanics · Physics 2017-12-05 E. A. Jagla

We use energetic considerations to deduce the form of a previously uncertain coupling term in the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. As in the earlier versions of the STZ theory, the onset of…

Materials Science · Physics 2009-11-10 J. S. Langer , L. Pechenik

We develop an athermal version of the shear-transformation-zone (STZ) theory of amorphous plasticity in materials where thermal activation of irreversible molecular rearrangements is negligible or nonexistent. In many respects, this theory…

Materials Science · Physics 2013-05-29 Eran Bouchbinder , J. S. Langer , Itamar Procaccia

We develop an elasto-plastic description for the transient dynamics prior to steady flow of athermally yielding materials. Our mean-field model not only reproduces the experimentally observed non-linear time dependence of the shear-rate…

Soft Condensed Matter · Physics 2018-02-06 Chen Liu , Kirsten Martens , Jean-Louis Barrat

The existence of a well defined yield stress, where a macroscopic piece of crystal begins to plastically flow, has been one of the basic observations of materials science. In contrast to macroscopic samples, in micro- and nanocrystals the…

We study the mean-field limit of an elasto-plastic model introduced to describe the yielding transition of athermally and quasi-statically sheared amorphous solids. We focus on the sample-to-sample fluctuations, which we characterize…

Disordered Systems and Neural Networks · Physics 2022-10-12 Saverio Rossi , Gilles Tarjus

We study the yielding transition of a two dimensional amorphous system under shear by using a mesoscopic elasto-plastic model. The model combines a full (tensorial) description of the elastic interactions in the system, and the possibility…

Materials Science · Physics 2017-08-23 E. A. Jagla

In two-dimensional Lennard-Jones glasses, mechanical probing reveals that local yield surfaces are dominated by regions with a positive second derivative of the yield stress with respect to the loading angle. Each feature corresponds to a…

Soft Condensed Matter · Physics 2026-03-19 Spencer Fajardo , Paul Desmarchelier , Sylvain Patinet , Michael L. Falk

The physics of disordered media, from metallic glasses to colloidal suspensions, granular matter and biological tissues, offers difficult challenges because it often occurs far from equilibrium, in materials lacking symmetries and evolving…

Statistical Mechanics · Physics 2025-06-04 Ludovic Berthier , Giulio Biroli , M. Lisa Manning , Francesco Zamponi

The shear-transformation-zone (STZ) theory of plastic deformation in glass-forming materials is reformulated in light of recent progress in understanding the roles played the effective disorder temperature and entropy flow in nonequilibrium…

Materials Science · Physics 2009-11-13 J. S. Langer

We use considerations of energy balance and dissipation to derive a self-consistent version of the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. The theory is generalized to include arbitrary spatial…

Soft Condensed Matter · Physics 2007-05-23 Leonid Pechenik

We study a mean field elastoplastic model, embedded within a disordered landscape of local yield barriers, to shed light on the behaviour of athermal amorphous solids subject to oscillatory shear. We show that the model presents a genuine…

Soft Condensed Matter · Physics 2022-05-25 Jack T. Parley , Srikanth Sastry , Peter Sollich

Plastic yield of amorphous solids occurs by power law distributed slip avalanches whose universality is still debated. Determination of the power law exponents from experiments and molecular dynamics simulations is hampered by limited…

Many soft jammed materials, such as pastes, gels, concentrated emulsions, and suspensions, possess a threshold stress, known as yield stress, that must be exceeded to cause permanent deformation or flow. In rheology, the term plastic flow…

Soft Condensed Matter · Physics 2025-11-03 Yogesh M. Joshi , Alexander Ya. Malkin

Yielding transitions in athermal amorphous materials resemble critical phenomena. Historically, they have been described by the Herschel-Bulkley rheological formula, which implies singular behaviors at yield points. In this paper, I examine…

Materials Science · Physics 2015-05-26 J. S. Langer

Recently introduced constitutive equations for the rheology of dense, disordered materials are investigated in the context of stick-slip experiments in boundary lubrication. The model is based on a generalization of the shear transformation…

Materials Science · Physics 2016-08-16 Anaël Lemaître , Jean Carlson

It is well known experimentally that well-quenched amorphous solids exhibit a plastic instability in the form of a catastrophic shear localization at a well defined value of the external strain. The instability may develop to a shear-band…

Soft Condensed Matter · Physics 2015-02-05 Ashwin J. , Oleg Gendelman , Itamar Procaccia , Carmel Shor

Failure of amorphous materials is characterized by the emergence of dissipation. The connection between particle dynamics, dissipation, and overall material rheology, however, has still not been elucidated. Here, we take a new approach…

Soft Condensed Matter · Physics 2021-08-09 K. L. Galloway , D. J. Jerolmack , P. E. Arratia
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