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A phase field model of a crystalline material at the mesoscale is introduced to develop the necessary theoretical framework to study plastic flow due to dislocation motion. We first obtain the elastic stress from the phase field free energy…

Materials Science · Physics 2018-03-07 Audun Skaugen , Luiza Angheluta , Jorge Viñals

Plasticity modelling has long been based on phenomenological models based on ad-hoc assuption of constitutive relations, which are then fitted to limited data. Other work is based on the consideration of physical mechanisms which seek to…

Materials Science · Physics 2022-06-06 Stefan Hiemer , Haidong Fan , Michael Zaiser

Understanding the spontaneous emergence of dislocation patterns during plastic deformation is a long standing challenge in dislocation theory. During the past decades several phenomenological continuum models of dislocation patterning were…

Materials Science · Physics 2016-06-22 Istvan Groma , Michael Zaiser , Peter Dusan Ispanovity

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

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…

Analysis of PDEs · Mathematics 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

With decreasing system sizes, the mechanical properties and dominant deformation mechanisms of metals change. For larger scales, bulk behavior is observed that is characterized by a preservation and significant increase of dislocation…

Materials Science · Physics 2021-12-21 Kolja Zoller , Szilvia Kalácska , Péter Dusán Ispánovity , Katrin Schulz

Identifying the regions responsible for plastic flow in amorphous solids remains an open problem, since structural disorder seems to prevent the direct application of concepts such as dislocations, topological defects that successfully…

Soft Condensed Matter · Physics 2026-05-21 Xin Wang , Yang Xu , Jin Shang , Yi Xing , Jie Zhang , Yujie Wang , Walter Kob , Matteo Baggioli

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…

Materials Science · Physics 2019-05-08 Hengxu Song , Dennis Dimiduk , Stefanos Papanikolaou

The static stress needed to depin a 2D edge dislocation, the lower dynamic stress needed to keep it moving, its velocity and displacement vector profile are calculated from first principles. We use a simplified discrete model whose far…

Materials Science · Physics 2009-11-10 A. Carpio , L. L. Bonilla

It has been shown in experiments that self-climb of prismatic dislocation loops by pipe diffusion plays important roles in their dynamical behaviors, e.g., coarsening of prismatic loops upon annealing, as well as the physical and mechanical…

Materials Science · Physics 2019-05-21 Xiaohua Niu , Yejun Gu , Yang Xiang

The yield surface in crystal plasticity can be approached from various directions during mechanical loading. We consider the competition between nanoindentation and tensile loading towards plastic yielding. For this purpose, we develop a…

Materials Science · Physics 2017-07-14 Hengxu Song , Hakan Yavas , Erik Van der Giessen , Stefanos Papanikolaou

We construct a new hydrodynamic framework describing plastic deformations in electronic crystals. The framework accounts for pinning, phase, and momentum relaxation effects due to translational disorder, diffusion due to the presence of…

Strongly Correlated Electrons · Physics 2023-04-20 Jay Armas , Erik van Heumen , Akash Jain , Ruben Lier

The spontaneous emergence of heterogeneous dislocation patterns is a conspicuous feature of plastic deformation and strain hardening of crystalline solids. Despite long-standing efforts in the materials science and physics of defect…

Materials Science · Physics 2015-05-22 Stefan Sandfeld , Michael Zaiser

This work addresses differences in predicted elastic fields created by dislocations either by the Phase Field Crystal (PFC) model, or by static Field Dislocation Mechanics (FDM). The PFC order parameter describes the topological content of…

Materials Science · Physics 2024-04-16 Manas Vijay Upadhyay , Jorge Viñals

We investigate the structure and equilibrium linear-response dynamics of suspensions of hard colloidal dumbbells using Brownian Dynamics computer simulations. The focus lies on the dense fluid and plastic crystal states of the colloids with…

Soft Condensed Matter · Physics 2015-07-10 Nils Heptner , Joachim Dzubiella

We present a thermodynamic description of crystal plasticity. Our formulation is based on the Langer-Bouchbinder-Lookman thermodynamic dislocation theory (TDT), which asserts the fundamental importance of an effective temperature that…

Materials Science · Physics 2020-04-22 Charles K. C. Lieou , Curt A. Bronkhorst

Dislocations, as topological defects in crystal lattices, are fundamental to understanding plasticity in materials. Similar periodic structures also arise in continuum field theories, such as chiral soliton lattices (CSLs), which appear in…

High Energy Physics - Theory · Physics 2025-06-23 Minoru Eto , Kentaro Nishimura , Muneto Nitta

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

Alloying metals with other elements is often done to improve the material strength or hardness. A key microscopic mechanism is precipitation hardening, where precipitates impede dislocation motion, but the role of such obstacles in…

Materials Science · Physics 2020-08-19 Henri Salmenjoki , Arttu Lehtinen , Lasse Laurson , Mikko J. Alava

Flexible slender structures such as rods, ribbons, plates, and shells exhibit extreme nonlinear responses bending, twisting, buckling, wrinkling, and self contact, that defy conventional simulation frameworks. Discrete Differential Geometry…

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