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A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · 物理学 2009-10-30 J. M. Rickman , Jorge Vinals

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…

材料科学 · 物理学 2012-04-04 Valentina Beato , Michael Zaiser , Stefano Zapperi

In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model…

偏微分方程分析 · 数学 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

Using experiments with single particle resolution and computer simulations we study the collective behaviour of multiple vacancies injected into two-dimensional crystals. We find that the defects assemble into linear strings that propagate…

统计力学 · 物理学 2013-12-18 Wolfgang Lechner , David Polster , Georg Maret , Peter Keim , Christoph Dellago

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

数学物理 · 物理学 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

The universality class of the avalanche behavior in plastically deforming crystalline and amorphous systems has been commonly discussed, despite the fact that the microscopic defect character in each of these systems is different. In…

材料科学 · 物理学 2019-05-08 Hengxu Song , Dennis Dimiduk , Stefanos Papanikolaou

The stress-driven motion of dislocations in crystalline solids, and thus the ensuing plastic deformation process, is greatly influenced by the presence or absence of various point-like defects such as precipitates or solute atoms. These…

材料科学 · 物理学 2016-02-10 Arttu Lehtinen , Fredric Granberg , Lasse Laurson , Kai Nordlund , Mikko J. Alava

The continuum dislocation dynamics framework for mesoscale plasticity is intended to capture the dislocation density evolution and the deformation of crystals when subjected to mechanical loading. It does so by solving a set of transport…

材料科学 · 物理学 2021-02-24 Vignesh Vivekanandan , Peng Lin , Grethe Winther , Anter El-Azab

In this paper we consider the dynamics of dislocations with the same Burgers vector, contained in the same glide plane, and moving in a material with periodic obstacles. We study two cases: i) the particular case of parallel straight…

偏微分方程分析 · 数学 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

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…

材料科学 · 物理学 2020-10-28 Sh. Akhondzadeh , Ryan B. Sills , Nicolas Bertin , Wei Cai

Due to recent successes of a statistical-based nonlocal continuum crystal plasticity theory for single-glide in explaining various aspects such as dislocation patterning and size-dependent plasticity, several attempts have been made to…

统计力学 · 物理学 2009-11-13 Surachate Limkumnerd , Erik Van de Giessen

This work introduces a simple quantitative model for the Frank--Read source, considered to be one of the most important micro-mechanical mechanisms of dislocation creation in crystalline materials. It has long been known that these sources…

材料科学 · 物理学 2025-05-19 Thomas Hudson , Filip Rindler , Joshua Rydell

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.…

材料科学 · 物理学 2021-12-28 Ronghai Wu , Yufan Zhang

We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic interatomic interactions, elastic deformations and discrete…

偏微分方程分析 · 数学 2024-07-23 Sergio Conti , Adriana Garroni , Michael Ortiz

Crystal plasticity of sub-micron finite volumes is characterized by the flow of emergent dislocation defects, giving rise to size effects in mechanical properties and avalanche phenomena. In this chapter, we present a minimal model for…

材料科学 · 物理学 2019-08-09 Stefanos Papanikolaou , Michail Tzimas

Avalanche-like plastic bursts in crystalline materials follow power law statistics, but the scaling exponents and cutoff parameters vary widely in the literature ($\alpha$ ranging from 1 to 2.2), hindering predictive modeling. Since…

材料科学 · 物理学 2026-04-24 Missipsa Aissaoui , Charlie Kahloun , Oguz Umut Salman , Sylvain Queyreau

Mechanical deformation of nanopillars displays features that are distinctly different from the bulk behavior of single crystals: Yield strength increases with decreasing size and plastic deformation comes together with strain bursts or/and…

材料科学 · 物理学 2016-06-06 Stefanos Papanikolaou , Hengxu Song , Erik Van der Giessen

It is well known that diamond does not deform plastically at room temperature and usually fails in catastrophic brittle fracture. Here we demonstrate room-temperature dislocation plasticity in sub-micrometer sized diamond pillars by in-situ…

The plasticity transition at the yield strength of a crystal typically signifies the tendency of dislocation defects towards relatively unrestricted motion. For an isolated dislocation the motion is in the slip plane with velocity…

材料科学 · 物理学 2020-01-15 Péter Dusán Ispánovity , Stefanos Papanikolaou , István Groma

Several experiments show that crystalline solids deform in a bursty and intermittent fashion. Power-law distributed strain bursts in compression experiments of micron-sized samples, and acoustic emission energies from larger-scale…

材料科学 · 物理学 2015-06-02 Markus Ovaska , Lasse Laurson , Mikko J. Alava