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As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically…

Materials Science · Physics 2020-12-30 B. D. Reddy , P. Steinmann , A. Kergassner

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

In order to improve the understanding of damage evolution in mechanically heterogeneous microstructures, like the ones of dual-phase steels, the influence of the applied stress state is a key element. In this work, we studied the influence…

Materials Science · Physics 2020-06-05 Carl F. Kusche , Felix Pütz , Sebastian Münstermann , Talal Al-Samman , Sandra Korte-Kerzel

Dislocation climb mobilities, assuming vacancy bulk diffusion, are derived and implemented in dislocation dynamics simulations to study the coarsening of vacancy prismatic loops in fcc metals. When loops cannot glide, the comparison of the…

Materials Science · Physics 2011-06-29 Botond Bakó , Emmanuel Clouet , Laurent Dupuy , Marc Blétry

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

It is shown here that fracture after a brief plastic strain, typically of a few percents, is a necessary consequence of the polycrystalline nature of the materials. The polycrystal undergoing plastic deformation is modeled as a flowing…

Materials Science · Physics 2018-08-28 Miguel Lagos , César Retamal , Rodrigo Valle

Built on the tenets of rational thermodynamics, this article proposes a theory of strain gradient thermo-visco-plasticity for isotropic polycrystalline materials under high strain rates. The effect of micro-inertia, which arises due to…

Materials Science · Physics 2016-01-28 Md M Rahaman , A Pathak , D Roy , J N Reddy

The mechanical strength and flow of granular materials can depend strongly on the shapes of individual grains. We report quantitative results obtained from photoelasticimetry experiments on locally loaded, quasi-two-dimensional granular…

Soft Condensed Matter · Physics 2025-08-28 Ryan Kozlowski , Hu Zheng , Karen E. Daniels , Joshua E. S. Socolar

In this study, we use the mechanism-based strain gradient plasticity theory to evaluate both crack tip dislocation density behaviour and the coupled effect of the material plastic properties and the intrinsic material length on non-linear…

Applied Physics · Physics 2021-10-19 V. Shlyannikov , E. Martínez-Pañeda , A. Tumanov , R. Khamidullin

Cross slip of screw dislocations in crystalline solids is a stress-driven thermally activated process essential to many phenomena during plastic deformation, including dislocation pattern formation, strain hardening, and dynamic recovery.…

Materials Science · Physics 2023-03-14 Yifan Wang , Wei Cai

We study a continuum model of dislocation transport in order to investigate the formation of heterogeneous dislocation patterns. We propose a physical mechanism which relates the formation of heterogeneous patterns to the dynamics of a…

Materials Science · Physics 2018-08-29 Ronghai Wu , Daniel Tüzes , Péter Dusán Ispánovity , István Groma , Michael Zaiser

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

We present a dislocation density-based strain hardening model for single crystal copper through a systematic coarse-graining analysis of more than 200 discrete dislocation dynamics (DDD) simulations of plastic deformation under uniaxial…

Materials Science · Physics 2020-10-28 Sh. Akhondzadeh , Ryan B. Sills , Nicolas Bertin , Wei Cai

Plastic deformation of crystals is a physical phenomenon, which has immensely driven the development of human civilisation since the onset of the Chalcolithic period. This process is primarily governed by the motion of line defects, called…

Materials Science · Physics 2009-07-15 A. Dutta , M. Bhattacharya , P. Mukherjee , N. Gayathri , G. C. Das , P. Barat

We simulate the glide motion of an assembly of interacting dislocations under the action of an external shear stress and show that the associated plastic creep relaxation follows Andrade's law. Our results indicate that Andrade creep in…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Alessandro Vespignani , Michael Zaiser , Stefano Zapperi

We study the relaxation dynamics of systems of straight, parallel crystal dislocations, starting from initially random and uncorrelated positions of the individual dislocations. A scaling model of the relaxation process is constructed by…

Materials Science · Physics 2009-03-28 Ferenc F. Csikor , Michael Zaiser , Péter Dusán Ispánovity , István Groma

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

Digital image correlation (DIC) is a well-established, non-invasive technique for tracking and quantifying the deformation of mechanical samples under strain. While it provides an obvious way to observe incremental and aggregate…

Materials Science · Physics 2019-04-16 Stefanos Papanikolaou , Michail Tzimas , Andrew C. E. Reid , Stephen A. Langer

Recently acoustic signature of dislocation avalanches in HCP materials was found to be long tailed in size and energy, suggesting critical dynamics. Even more recently, the intermittent plastic response was found to be generic for micro-…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Jérôme Weiss , Peng Zhang , Oguz Umut Salman , Gang Liu , Lev Truskinovsky

The plastic deformation of metal alloys localizes in the Portevin--Le Chatelier effect in bands of different types, including propagating, or type 'A' bands, usually characterised by their width and a typical propagation velocity. This…

Statistical Mechanics · Physics 2020-10-27 Tero Mäkinen , Pasi Karppinen , Markus Ovaska , Lasse Laurson , Mikko J. Alava
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