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We investigate numerically the yielding transition of a two dimensional model amorphous solid under external shear. We use a scalar model in terms of values of the total local strain, that we derive from the full (tensorial) description of…

Statistical Mechanics · Physics 2018-07-18 I. Fernández Aguirre , E. A. Jagla

We demonstrate that irreversible structural reorganization is not necessary for the observation of yield behaviour in an amorphous solid. While the majority of solids strained to their yield point do indeed undergo an irreversible…

Soft Condensed Matter · Physics 2016-08-24 Shibu Saw , Sneha Abraham , Peter Harrowell

The coarse-graining of amorphous plasticity from the atomistic to the mesoscopic scale is studied in the framework of a simple scalar elasto-plastic model. Building on recent results obtained on the atomistic scale, we discuss the interest…

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 recent research it was found that the fundamental shear-localizing instability of amorphous solids under external strain, which eventually results in a shear band and failure, consists of a highly correlated array of Eshelby quadrupoles…

Soft Condensed Matter · Physics 2015-06-11 Ratul Dasgupta , H. George E. Hentschel , Itamar Procaccia

In the framework of the suggested in [arxiv:1803.08247 [cond-mat.mtrl-sci]] statistical theory of the equilibrium flow stress, including yield strength, ${\sigma}_y$, of polycrystalline materials under quasi-static (in case of tensile…

Materials Science · Physics 2020-01-01 Alexander A. Reshetnyak

We address the cross effects between mechanical strains and magnetic fields on the plastic response of magnetoelastic amorphous solids. It is well known that plasticity in non-magnetic amorphous solids under external strain $\gamma$ is…

Statistical Mechanics · Physics 2015-06-04 H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

Yield stress fluids display complex dynamics, in particular when driven into the transient regime between the solid and the flowing state. Inspired by creep experiments on dense amorphous materials, we implement mesocale elasto-plastic…

Soft Condensed Matter · Physics 2018-10-01 Chen Liu , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

It is known by now that amorphous solids at zero temperature do not possess a nonlinear elasticity theory: besides the shear modulus which exists, all the higher order coefficients do not exist in the thermodynamic limit. Here we show that…

Soft Condensed Matter · Physics 2016-06-15 Itamar Procaccia , Corrado Rainone , Carmel Shor , Murari Singh

Close to the yielding transition, amorphous solids exhibit a jerky dynamics characterized by plastic avalanches. The statistics of these avalanches have been measured experimentally and numerically using a variety of different triggering…

Soft Condensed Matter · Physics 2026-01-08 Tristan Jocteur , Eric Bertin , Romain Mari , Kirsten Martens

The effect of finite temperature $T$ and finite strain rate $\dot\gamma$ on the statistical physics of plastic deformations in amorphous solids made of $N$ particles is investigated. We recognize three regimes of temperature where the…

Statistical Mechanics · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

Shear yielding of glassy polymers is usually described in terms of the pressure-dependent Tresca or von Mises yield criteria. We test these criteria against molecular dynamics simulations of deformation in amorphous polymer glasses under…

Materials Science · Physics 2009-11-07 Joerg Rottler , Mark O. Robbins

The consolidation of suspended particulate matter under external forces such as pressure or gravity is of widespread interest. In this work, we derive a constitutive relation to describe the deformation of a {\it two-dimensional} strongly…

Soft Condensed Matter · Physics 2014-02-26 Saikat Roy , Mahesh S Tirumkudulu

We elaborate the recently introduced theory of flow stress, including yield strength, in polycrystalline materials under quasi-static plastic deformations, thereby extending the case of single-mode aggregates to multimodal ones in the…

Materials Science · Physics 2019-11-21 D. Cevizovic , A. A. Reshetnyak , Yu. P. Sharkeev

This study presents the spreading of a single filament of a yield stress (viscoplastic) fluid extruded onto a pre-wetted solid surface. The filaments spread laterally under surface tension forces until they reach a final equilibrium shape…

Fluid Dynamics · Physics 2022-12-29 Jesse van der Klok , Daniël Tieman , Maziyar Jalaal

In this paper we investigate the yield condition in the mobilization of yield-stress materials in distensible tubes. We discuss the two possibilities for modeling the yield-stress materials prior to yield: solid-like materials and…

Fluid Dynamics · Physics 2014-06-18 Taha Sochi

Size dependent hardness has long been reported in nanosized indentations, however the corresponding explanation is still in exploration. In this paper, we examine the influence of surface energy on the hardness of materials under spherical…

Applied Physics · Physics 2020-06-30 Yue Ding , Gang Feng Wang

We use computational methods to determine the minimal yield-stress required in order to hold static a buoyant bubble in a yield-stress liquid. The static limit is governed by the bubble shape, the dimensionless surface tension ($\gamma$)…

Fluid Dynamics · Physics 2022-01-12 Ali Pourzahedi , Emad Chaparian , Ali Roustaei , Ian A. Frigaard

All yield criteria that determine the onset of plastic deformation in crystalline materials must be invariant under the inversion symmetry associated with a simultaneous change of sign of the slip direction and the slip plane normal. We…

Materials Science · Physics 2021-08-03 Roman Gröger

Dry granular materials consist of a vast ensemble of discrete solid particles, interacting through complex frictional forces at the contact points. The particles are so large that these systems are believed to be completely athermal. Here,…

Soft Condensed Matter · Physics 2024-01-17 Kasra Farain , Daniel Bonn