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In continuum models of dislocations, proper formulations of short-range elastic interactions of dislocations are crucial for capturing various types of dislocation patterns formed in crystalline materials. In this article, the continuum…

Materials Science · Physics 2016-08-12 Yichao Zhu , Xiaohua Niu , Yang Xiang

To understand how dislocations form ordered structures during the deformation of metals, we perform computer simulation studies of the dynamics and patterning of screw dislocations in two dimensions. The simulation is carried out using an…

Materials Science · Physics 2007-05-23 Robin L. B. Selinger , Brian B. Smith , Wei-Dong Luo

Strain hardening is a key feature observed in many rocks deformed in the so-called ``semi-brittle'' regime, where both crystal plastic and brittle deformation mechanisms operate. Dislocation storage has long been recognised as a major…

Geophysics · Physics 2025-02-14 Nicolas Brantut

To develop a dislocation-based statistical continuum theory of crystal plasticity is a major challenge of materials science.During the last two decades such a theory has been developed for the time evolution of a system of parallel edge…

Materials Science · Physics 2021-05-12 István Groma , Péter Dusán Ispánovity , Thomas Hochrainer

In the present work, we propose a novel model coupling phase-field, dislocation density based plasticity and damage. The dislocation density governing equations are constructed based on evolutions of mobile and immobile dislocations.…

Materials Science · Physics 2021-12-28 Ronghai Wu , Yufan Zhang

This work introduces a model for large-strain, geometrically nonlinear elasto-plastic dynamics in single crystals. The key feature of our model is that the plastic dynamics are entirely driven by the movement of dislocations, that is,…

Materials Science · Physics 2022-02-11 Thomas Hudson , Filip Rindler

In a recent publication, we derived the mesoscale continuum theory of plasticity for multiple-slip systems of parallel edge dislocations, motivated by the statistical-based nonlocal continuum crystal plasticity theory for single-glide due…

Materials Science · Physics 2009-11-13 Surachate Limkumnerd , Erik Van der Giessen

Uniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volterra dislocation problem as a limit of plasticity problems is…

Classical Physics · Physics 2019-07-24 Amit Acharya , Robin J. Knops , Jeyabal Sivaloganathan

We derive a continuum-level plasticity model for polycrystalline materials in the high energy density regime, based on a single dislocation density and single mobility mechanism, with an evolution model for the dislocation density. The…

In this letter, we develop a framework to study the mechanical response of athermal amorphous solids via a coupling of mesoscale and microscopic models. Using measurements of coarse grained quantities from simulations of dense disordered…

Soft Condensed Matter · Physics 2021-04-07 Chen Liu , Suman Dutta , Pinaki Chaudhuri , Kirsten Martens

This study proposes a coherent scenario of the formation of permanent shear bands in the flow of yield stress materials. It is a well accepted point of view that flow in disordered media is occurring via local plastic events, corresponding…

Soft Condensed Matter · Physics 2012-09-17 Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

We study the two-dimensional (2D) shear flow of amorphous solids within variants of an elastoplastic model, paying particular attention to spatial correlations and time fluctuations of, e.g., local stresses. The model is based on the local…

Soft Condensed Matter · Physics 2014-03-27 Alexandre Nicolas , Kirsten Martens , Lydéric Bocquet , Jean-Louis Barrat

Results of recent large-scale molecular dynamics simulations of dislocation-mediated solid plasticity are campared with predictions of the statistical thermodynamic theory of these phenomena. These computational and theoretical analyses are…

Materials Science · Physics 2018-09-12 J. S. Langer

We build a minimal, mean-field, model of plasticity of amorphous solids, based upon a phenomenology of dissipative events derived, in a preceding paper [A. Lemaitre, C. Caroli, arXiv:0705.0823] from extensive molecular simulations. It…

Disordered Systems and Neural Networks · Physics 2016-08-14 Anaël Lemaître , Christiane Caroli

Microcrystals deform very differently from their macroscopic counterparts, displaying a size-dependent yield stress and intermittent plastic strain bursts. Here we demonstrate that size effects and strain bursts may be just two different…

Materials Science · Physics 2012-04-04 Valentina Beato , Michael Zaiser , Stefano Zapperi

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics based material parameters, we are able to simulate the…

Materials Science · Physics 2021-04-13 Yinguang Piao , Khanh Chau Le

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

Stressed dislocation pattern formation in crystal plasticity at finite deformation is demonstrated for the first time. Size effects are also demonstrated within the same mathematical model. The model involves two extra material parameters…

Materials Science · Physics 2018-12-04 Rajat Arora , Amit Acharya

Despite the recent interest in the discontinuous shear-thickening (DST) behaviour, few computational works tackle the rich hydrodynamics of these fluids. In this work, we present the first implementation of a microstructural DST model in…

Fluid Dynamics · Physics 2023-11-27 Peter Angerman , Sagaya Prasanna Kumar , Bjornar Sandnes , Ryohei Seto , Marco Ellero

Understanding how stick-slip dynamics manifests in diverse physical conditions is a crucial topic in tribology. Although it has been extensively studied in simple frictional configurations, the characterization of stick-slip behavior in…

Soft Condensed Matter · Physics 2026-02-17 A. Plati , F. Restagno , C. Poulard