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We discuss aging and localization in a simple "Eshelby" mesoscopic model of amorphous plasticity. Plastic deformation is assumed to occur through a series of local reorganizations. Using a discretization of the mechanical fields on a…

Soft Condensed Matter · Physics 2011-12-06 Damien Vandembroucq , Stéphane Roux

One long-lasting puzzle in amorphous solids is shear localization, where local plastic deformation involves cooperative particle rearrangements in small regions of a few inter-particle distances, self-organizing into shear bands and…

Soft Condensed Matter · Physics 2020-09-08 Yinqiao Wang , Yujie Wang , Jie Zhang

The fundamental instability responsible for the shear localization which results in shear bands in amorphous solids remains unknown despite enormous amount of research, both experimental and theoretical. As this is the main mechanism for…

Soft Condensed Matter · Physics 2015-06-05 Ratul Dasgupta , H. George E. Hentschel , Itamar Procaccia

Plastic deformation of metallic glasses performed well below the glass transition temperature leads to the formation of shear bands as a result of shear localization. It is believed that shear banding originates from individual stress…

Materials Science · Physics 2017-04-26 Vitalij Hieronymus-Schmidt , Harald Rösner , Alessio Zaccone , Gerhard Wilde

The elastic coupling between plastic events is generally invoked to interpret plastic properties and failure of amorphous soft glassy materials. We report an experiment where the emergence of a self-organized plastic flow is observed well…

Soft Condensed Matter · Physics 2014-05-21 Le Bouil Antoine , Amon Axelle , McNamara Sean , Crassous Jérôme

We deform, in pure shear, a thin sample of Cu$_{50}$Zr$_{50}$ metallic glass using a molecular dynamics simulation up to, and including, failure. The experiment is repeated ten times in order to have average values and standard deviations.…

Materials Science · Physics 2020-02-19 Matias Sepulveda-Macias , Gonzalo Gutierrez , Fernando Lund

We investigate spatial correlations of strain fluctuations in sheared colloidal glasses and simulations of sheared amorphous solids. The correlations reveal a quadrupolar symmetry reminiscent of the strain field due to an Eshelby's…

Plastic deformation in metallic glasses at room temperature leads to the development of shear bands due to shear localization. In many experiments, shear bands have shown local density variations along their path, with a distinct imbalance…

Disordered Systems and Neural Networks · Physics 2024-07-22 Harald Rösner , Arabinda Bera , Alessio Zaccone

Shear banding is a material instability in large strain plastic deformation of solids, where otherwise homogeneous flow becomes localized in narrow micrometer-scale bands. Shear bands have broad implications for materials processing and…

Materials Science · Physics 2021-01-05 Koushik Viswanathan , Shwetabh Yadav , Dinakar Sagapuram

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

Plasticity in soft amorphous materials typically involves collective deformation patterns that emerge upon intense shearing. The microscopic basis of amorphous plasticity has been commonly established through the notion of "Eshelby"-type…

Soft Condensed Matter · Physics 2019-07-31 Kamran Karimi , David Amitrano , Jerome Weiss

The aim of this paper is to offer an analytic theory of the shear banding instability in amorphous solids that are subjected to athermal quasi-static shear. To this aim we derive nonlinear equations for the displacement field, including the…

Statistical Mechanics · Physics 2026-05-12 Avanish Kumar , Itamar Procaccia

One of the major theoretical riddles in shear banding instabilities is the angle that the shear band chooses spontaneously with respect to the principal stress axis. Here we employ our recent atomistic theory to compute analytically the…

Materials Science · Physics 2013-04-17 Ashwin J. , Oleg Gendelman , Itamar Procaccia , Carmel Shor

Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attention as a mechanism of material failure. Here, we aim to…

Analysis of PDEs · Mathematics 2016-11-15 Min-Gi Lee , Athanasios Tzavaras

Understanding the relationship between micromechanics and macroscopic plastic deformation is vital for elucidating the deformation mechanism of amorphous solids, such as granular materials. In this study, we directly measure T1 events,…

Soft Condensed Matter · Physics 2023-05-08 Jie Zheng , Aile Sun , Jie Zhang

This study proposes a coherent scenario of the formation of permanent shear bands in the flow of yield stress materials. It is a well accepted point of view that flow in disordered media is occurring via local plastic events, corresponding…

Soft Condensed Matter · Physics 2012-09-17 Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

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

The flow of amorphous solids results from a combination of elastic deformation and local structural rearrangements, which induce non-local elastic deformations. These elements are incorporated into a mechanically-consistent mesoscopic model…

Soft Condensed Matter · Physics 2015-06-12 Alexandre Nicolas , Jean-Louis Barrat

We propose a new metric called s-LID based on the concept of Local Intrinsic Dimensionality to identify and quantify hierarchies of kinematic patterns in heterogeneous media. s-LID measures how outlying a grain's motion is relative to its s…

Materials Science · Physics 2021-04-06 Shuo Zhou , Antoinette Tordesillas , Mehdi Pouragha , James Bailey , Howard Bondell

Upon mechanical loading, granular materials yield and undergo plastic deformation. The nature of plastic deformation is essential for the development of the macroscopic constitutive models and the understanding of shear band formation.…

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