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Related papers: Heterogeneities in amorphous systems under shear

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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

Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of…

Analysis of PDEs · Mathematics 2017-03-09 Theodoros Katsaounis , Julien Olivier , Athanasios E. Tzavaras

We suggest a scalar model for deformation and flow of an amorphous material such as a foam or an emulsion. To describe elastic, plastic and viscous behaviours, we use three scalar variables: elastic deformation, plastic deformation rate and…

Soft Condensed Matter · Physics 2009-11-11 Philippe Marmottant , François Graner

We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist one requires all the elastic coefficients, linear and nonlinear, to attain a finite…

Statistical Mechanics · Physics 2015-05-20 H. G. E. Hentschel , Smarajit Karmakar , Edan Lerner , Itamar Procaccia

Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are the first steps, at the theoretical level, to establish a variational framework to…

Optimization and Control · Mathematics 2022-08-26 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen , Elvira Zappale

This paper deals with flow-induced shape transitions of elastic capsules. The state of the art concerning both theory and experiments is briefly reviewed starting with dynamically induced small deformation of initially spherical capsules…

Soft Condensed Matter · Physics 2011-04-25 Reimar Finken , Steffen Kessler , Udo Seifert

Molecular dynamics simulations are performed to investigate the plastic response of a model glass to a local shear transformation in a quiescent system. The deformation of the material is induced by a spherical inclusion that is gradually…

Soft Condensed Matter · Physics 2015-09-30 Nikolai V. Priezjev

This paper presents a comprehensive review of wear mechanisms, with a primary focus on rubber wear under sliding conditions. Beginning with classical wear theories, including the Archard and Rabinowicz models, we analyze their applicability…

Soft Condensed Matter · Physics 2025-03-31 R. Xu , W. Sheng , F. Zhou , B. N. J. Persson

An extremal model for the plasticity of amorphous materials is studied in a simple two-dimensional anti-plane geometry. The steady-state is analyzed through numerical simulations. Long-range spatial and temporal correlations in local slip…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jean-Christophe Baret , Damien Vandembroucq , Stephane Roux

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

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

Recent studies of athermal systems such as dry grains and dense, non-Brownian suspensions have shown that shear can lead to solidification through the process of shear jamming in grains and discontinuous shear thickening in suspensions. The…

Soft Condensed Matter · Physics 2015-06-19 Sumantra Sarkar , Bulbul Chakraborty

Understanding the fundamental mechanisms behind plastic instabilities and shear band formation in amorphous media under applied deformation remains a long-standing challenge. Leveraging on the mathematical concept of topology, we revisit…

Soft Condensed Matter · Physics 2025-07-08 Xin Wang , Jin Shang , Yujie Wang , Jie Zhang , Matteo Baggioli

The origin of the transition from asymptotically reversible to asymptotically irreversible response in amorphous solids subject to oscillatory shear is still unknown. It is known that the plastic events that result from shearing always…

Soft Condensed Matter · Physics 2024-04-24 Asaf Szulc , Ido Regev

The aim of this short review is to summarize the developing theory aimed at describing the effect of plastic events in amorphous solids on its emergent mechanics. Experiments and simulations present anomalous mechanical response of…

Statistical Mechanics · Physics 2023-11-02 Avanish Kumar , Itamar Procaccia

We investigate the effect of annealed disorder on the mechanical properties and plasticity of a modeled amorphous solid by introducing a small fraction of heavy impurities into the material which resembles real experimental systems. The…

Soft Condensed Matter · Physics 2024-06-19 Meenakshi L. , Bhaskar Sen Gupta

Recent developments in the theory of amorphous plasticity point to the central role played by the concept of an effective disorder temperature $T_{eff}$. An athermal dynamics for $T_{eff}$ are proposed in the framework of a deformation…

Materials Science · Physics 2009-11-13 Eran Bouchbinder

A fundamental assumption in our understanding of material rheology is that when microscopic deformations are reversible, the material responds elastically to external loads. Plasticity, i.e. dissipative and irreversible macroscopic changes…

Soft Condensed Matter · Physics 2009-11-13 M. Lundberg , K. Krishan , N. Xu , C. S. O'Hern , M. Dennin

Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue…

Soft Condensed Matter · Physics 2022-11-29 Junxiang Huang , James O. Cochran , Suzanne M. Fielding , M. Cristina Marchetti , Dapeng Bi

Variable-amplitude oscillatory shear tests are emerging as powerful tools to investigate and quantify the nonlinear rheology of amorphous solids, complex fluids and biological materials. Quite a few recent experimental and atomistic…

Materials Science · Physics 2015-06-19 Nathan Perchikov , Eran Bouchbinder