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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

Recoverable strain is the strain recovered once a stress is removed from a body, in the direction opposite to that in which the stress had acted. To date, the phenomenon has been understood as being elastic in origin: polymer chains…

Soft Condensed Matter · Physics 2025-05-07 Henry A. Lockwood , Suzanne M. Fielding

The ubiquitous appearance of regions of localized deformation (shear bands) in different kinds of disordered materials under shear is studied in the context of a mesoscopic model of plasticity. The model may or may not include relaxational…

Soft Condensed Matter · Physics 2015-05-19 E. A. Jagla

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

We analyze a mesoscopic model of a shear stress material with a three dimensional slab geometry, under an external quasistatic deformation of a simple shear type. Relaxation is introduced in the model as a mechanism by which an unperturbed…

Soft Condensed Matter · Physics 2023-04-27 E. A. Jagla

In this paper we extend the recent theory of shear-localization in 2-dimensional amorphous solids to 3-D. In 2-D the fundamental instability of shear-localization is related to the appearance of a line of displacement quadrupoles, that…

Soft Condensed Matter · Physics 2015-12-11 Ratul Dasgupta , Oleg Gendelman , Pankaj Mishra , Itamar Procaccia , Carmel A. B. Z. Shor

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler

Spontaneous strain localization occurs during mechanical tests of a model amorphous solid simulated using molecular dynamics. The degree of localization depends upon the extent of structural relaxation prior to mechanical testing. In the…

Materials Science · Physics 2007-05-23 Yunfeng Shi , Michael L. Falk

When amorphous solids are subjected to simple or pure strain, they exhibit elastic increase in stress, punctuated by plastic events that become denser (in strain) upon increasing the system size. It is customary to assume in theoretical…

Soft Condensed Matter · Physics 2023-05-22 Chandana Mondal , Michael Moshe , Itamar Procaccia , Saikat Roy

Strain localization is an instability phenomenon occurring in deformable solid materials which undergo dissipative deformation mechanisms. Such instability is characterized by the localization of the displacement or velocity fields in a…

Geophysics · Physics 2021-04-21 Antoine B. Jacquey , Hadrien Rattez , Manolis Veveakis

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

In soft amorphous materials, shear cessation after large shear deformation leads to structures having residual shear stress. The origin of these states and the distribution of the local shear stresses within the material is not well…

Soft Condensed Matter · Physics 2021-08-31 Vishwas V. Vasisht , Pinaki Chaudhuri , Kirsten Martens

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

Analysis of PDEs · Mathematics 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

The onset of irreversible deformation in low-temperature amorphous solids is due to the accumulation of elementary events, consisting of spacially and temporally localized atomic rearrangements involving only a few tens of atoms. Recently,…

Soft Condensed Matter · Physics 2016-10-12 Francesco Puosi , Joerg Rottler , Jean-Louis Barrat

Amorphous solids relax via slow molecular rearrangement induced by thermal fluctuations or applied stress. Although microscopic structural signatures predicting these structural relaxations have long been sought, a physically motivated…

Soft Condensed Matter · Physics 2024-08-12 Ratimanasee Sahu , Mohit Sharma , Peter Schall , Sarika Maitra Bhattacharyya , Vijayakumar Chikkadi

In amorphous materials, plasticity is localized and occurs as shear transformations. It was recently shown by Wu et al. that these shear transformations can be predicted by applying topological defect concepts developed for liquid crystals…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Paul Desmarchelier , Spencer Fajardo , Michael L. Falk

Localized deformation patterns are a common motif in morphogenesis and are increasingly finding widespread applications in materials science, for instance as memory devices. Here we describe the emergence of spatially localized deformations…

Soft Condensed Matter · Physics 2019-06-12 Thomas C. T. Michaels , Remy Kusters , Alexander J. Dear , Cornelis Storm , James C. Weaver , L. Mahadevan

We formulate a generic concept model for the deformation of a locally disordered, macroscopically homogeneous material which undergoes irreversible strain softening during plastic deformation. We investigate the influence of the degree of…

Materials Science · Physics 2019-07-10 Dániel Tüzes , Michael Zaiser , Péter Dusán Ispánovity

A reduced order asymptotic homogenization based multiscale technique which can capture damage and inelastic effects in composite materials is proposed. This technique is based on two scale homogenization procedure where eigen strain…

Computational Engineering, Finance, and Science · Computer Science 2025-09-29 Harpreet Singh , Puneet Mahajan

We study the shear induced fluidization of amorphous solids subjected to external loading by investigating the relaxation dynamics of the deformed states using computer simulation. A simple shear deformation is employed at constant rate to…

Soft Condensed Matter · Physics 2021-12-07 Santhosh Kumar R , Bhaskar Sen Gupta
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