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Amorphous solids yield in strain-controlled protocols at a critical value of the strain. For larger strains the stress and energy display a generic complex serrated signal with elastic segments punctuated by sharp energy and stress plastic…

Soft Condensed Matter · Physics 2016-06-22 Awadhesh K. Dubey , H. George E. Hentschel , Itamar Procaccia , Murari Singh

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

The art of making structural, polymeric and metallic glasses is rapidly developing with many applications. A limitation to their use is their mechanical stability: under increasing external strain all amorphous solids respond elastically to…

Soft Condensed Matter · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The yield of amorphous solids like metallic glasses under external stress was discussed asserting that it is related to the glass transition by increasing temperature, or that it can be understood using statistical theories of various…

Soft Condensed Matter · Physics 2015-04-22 Valery Ilyin , Itamar Procaccia , Carmel Shor , Murari Singh

A crucially important material parameter for all amorphous solids is the yield stress, which is the value of the stress for which the material yields to plastic flow when it is strained quasi-statically at zero temperature. It is difficult…

Computational Physics · Physics 2010-11-16 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg

We study shear yielding and steady state flow of glassy materials with molecular dynamics simulations of two standard models: amorphous polymers and bidisperse Lennard-Jones glasses. For a fixed strain rate, the maximum shear yield stress…

Soft Condensed Matter · Physics 2009-11-10 Joerg Rottler , Mark O. Robbins

The shear-modulus and yield-stress of amorphous solids are important material parameters, with the former determining the rate of increase of stress under external strain and the latter being the stress value at which the material flows in…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia , Emily S. C. Ching , H. G. E Hentschel

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

What characterises a solid is its way to respond to external stresses. Ordered solids, such crystals, display an elastic regime followed by a plastic one, both well understood microscopically in terms of lattice distortion and dislocations.…

Soft Condensed Matter · Physics 2016-12-21 Giulio Biroli , Pierfrancesco Urbani

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

Amorphous solids yield at a critical value of the strain (in strain controlled experiments); for larger strains the average stress can no longer increase - the system displays an elasto-plastic steady state. A long standing riddle in the…

Soft Condensed Matter · Physics 2016-02-24 Prabhat Jaiswal , Itamar Procaccia , Corrado Rainone , Murari Singh

The universal anomalous vibrational and thermal properties of amorphous solids are believed to be related to the local variations of the elasticity. Recently it has been shown that the vibrational properties are sensitive to the glass's…

Soft Condensed Matter · Physics 2019-09-30 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

Much of the progress achieved in understanding plasticity and failure in amorphous solids had been achieved using experiments and simulations in which the materials were loaded using strain control. There is paucity of results under stress…

Statistical Mechanics · Physics 2015-06-19 Vladimir Dailidonis , Valery Ilyin , Pankaj Mishra , Itamar Procaccia

Molecular dynamics simulations are performed to examine the dynamic response of amorphous solids to oscillatory shear at finite temperatures. The data were collected from a poorly annealed binary glass, which was deformed periodically in…

Soft Condensed Matter · Physics 2017-11-21 Nikolai V. Priezjev

By comparing the response to external strains in metallic glasses and in Lenard-Jones glasses we find a quantitative universality of the fundamental plastic instabilities in the athermal, quasistatic limit. Microscopically these two types…

Soft Condensed Matter · Physics 2015-06-03 Ratul Dasgupta , Smarajit Karmakar , Itamar Procaccia

We perform thorough molecular-dynamics simulations to compare elasticity and yielding of atomic crystals and model semicrystalline polymers, the latter characterized by very similar positional ordering with respect to atomic crystals and…

Soft Condensed Matter · Physics 2018-11-20 Andrea Giuntoli , Dino Leporini

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

Strongly correlated amorphous solids are a class of glass-formers whose inter-particle potential admits an approximate inverse power-law form in a relevant range of inter-particle distances. We study the steady-state plastic flow of such…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

Quasi-static strain-controlled measurements of stress vs strain curves in macroscopic amorphous solids result in a nonlinear looking curve that ends up either in mechanical collapse or in a steady-state with fluctuations around a mean…

Soft Condensed Matter · Physics 2016-03-02 Awadhesh K. Dubey , Itamar Procaccia , Carmel A. B. Z. Shor , Murari Singh

While perfect crystals may exhibit a purely elastic response to shear all the way to yielding, the response of amorphous solids is punctuated by plastic events. The prevalence of this plasticity depends on the number of particles $N$ of the…

Soft Condensed Matter · Physics 2018-12-05 Edan Lerner , Itamar Procaccia , Corrado Rainone , Murari Singh
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