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Related papers: Density-based crystal plasticity : from the discre…

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We report on a particle-based numerical study of sheared amorphous solids in the dense slow flow regime. In this framework, deformation and flow are accompanied by critical fluctuation patterns associated with the macroscopic plastic…

Soft Condensed Matter · Physics 2020-01-08 Kamran Karimi

Plasticity refers to thermodynamically irreversible deformation associated with a change of configuration of materials. Friction is a phenomenological law that describes the forces resisting sliding between two solids or across an embedded…

Geophysics · Physics 2018-02-23 Sylvain Barbot

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

This paper focuses on the connections between four stochastic and deterministic models for the motion of straight screw dislocations. Starting from a description of screw dislocation motion as interacting random walks on a lattice, we prove…

Analysis of PDEs · Mathematics 2020-09-11 Thomas Hudson , Patrick van Meurs , Mark A. Peletier

Deformation gradient tensor fields are reconstructed in three dimensions (mapping all 9 tensor components) using synthetic Dark-Field X-ray Microscopy data. Owing to the unique properties of the microscope, our results imply that the…

Materials Science · Physics 2025-09-09 Axel Henningsson , Sina Borgi , Grethe Winther , Anter El-Azab , Henning Friis Poulsen

We derive general relations between grain boundaries, rotational deformations, and stress-free states for the mesoscale continuum Nye dislocation density tensor. Dislocations generally are associated with long-range stress fields. We…

Disordered Systems and Neural Networks · Physics 2009-11-11 Surachate Limkumnerd , James P. Sethna

We propose a numerical model to study the viscoplastic deformation of ice single crystals. We consider long-range elastic interactions among dislocations, the possibility of mutual annihilation, and a multiplication mechanism representing…

Statistical Mechanics · Physics 2007-05-23 M. -Carmen Miguel , Alessandro Vespignani , Stefano Zapperi , Jerome Weiss , Jean-Robert Grasso

Although continuum theory has been widely used to describe the long-range elastic behavior of dislocations, it is limited in its ability to describe mechanical behaviors that occur near dislocation cores. This limit of the continuum theory…

Materials Science · Physics 2020-10-28 Soon Kim , Keonwook Kang , Sung Youb Kim

Over the past decades, discrete dislocation dynamics simulations have been shown to reliably predict the evolution of dislocation microstructures for micrometer-sized metallic samples. Such simulations provide insight into the governing…

We use a discrete dislocation dynamics (DDD) approach to study the motion of a dislocation under strong stochastic forces that may cause bending and roughening of the dislocation line on scales that are comparable to the dislocation core…

Materials Science · Physics 2018-07-26 Jianhui Zhai , Michael Zaiser

Defects are inevitable during the manufacturing processes of materials. Presence of these defects and their dynamics significantly influence the responses of materials. A thorough understanding of dislocation dynamics of different types of…

Materials Science · Physics 2024-08-28 Santosh Chhetri , Maryam Naghibolhosseini , Mohsen Zayernouri

The plastic component of the deformation gradient plays a central role in finite kinematic models of plasticity. However, its characterization has been the source of extended debates in the literature and many important issues still remain…

Materials Science · Physics 2015-04-29 Celia Reina , Sergio Conti

The dynamics of defect excitations in crystalline solids is necessary to understand the macroscopic low-energy properties of elastic media. We use fracton-elasticity duality to systematically study the defect dynamics and interactions in…

Materials Science · Physics 2024-05-07 Lazaros Tsaloukidis , Piotr Surówka

A theory of flow stress, including the yield strength is proposed for the class of PC materials with equilibrium defect structure (EDS), which is established in the PC material after series of $N_0$ similar treatments of severe plastic…

Materials Science · Physics 2021-03-09 Alexander A. Reshetnyak

Viscoplastic flow of polycrystalline metallic materials is the result of motion and interaction of dislocations, line defects of the crystalline structure. In the microstructural (physics-based) constitutive model presented in this paper,…

Materials Science · Physics 2018-09-11 S. Amir H. Motaman , Ulrich Prahl

The dislocation microstructure developing during plastic deformation strongly influences the stress-strain properties of crystalline materials. The novel method of high resolution electron backscatter diffraction (HR-EBSD) offers a new…

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

Dislocations are topological defects known to be crucial in the onset of plasticity and in many properties of crystals. Classical Elasticity still fails to fully explain their dynamics under extreme conditions of high strain gradients and…

Soft Condensed Matter · Physics 2021-01-05 P. C. N. Pereira , S. W. S. Apolinario

Dislocations in ductile ceramics offer the potential for robust mechanical performance while unlocking versatile functional properties. Previous studies have been limited by small volumes with dislocations and/or low dislocation densities…

Materials Science · Physics 2024-11-20 Oliver Preuß , Enrico Bruder , Jiawen Zhang , Wenjun Lu , Jürgen Rödel , Xufei Fang

This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as…

Numerical Analysis · Mathematics 2022-05-09 Shunsuke Kobayashi , Ryuichi Tarumi
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