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Dislocations play a key role in the understanding of many phenomena in solid state physics, materials science, crystallography and engineering. Dislocations are line defects producing distortions and self-stresses in an otherwise perfect…

Materials Science · Physics 2018-03-12 Markus Lazar

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

In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deformation gradient into elastic and plastic parts, we use…

Materials Science · Physics 2023-08-02 Fabio Sozio , Arash Yavari

A discrete model describing defects in crystal lattices and having the standard linear anisotropic elasticity as its continuum limit is proposed. The main ingredients entering the model are the elastic stiffness constants of the material…

Materials Science · Physics 2007-05-23 A. Carpio , L. L. Bonilla

We introduce a phenomenological theory of dislocation motion appropriate for two dimensional lattices. A coarse grained description is proposed that involves as primitive variables local lattice rotation and Burgers vector densities along…

Materials Science · Physics 2016-02-02 Brent Perreault , Jorge Vinals , Jeffrey M. Rickman

Smectic liquid crystals are charcterized by layers that have a preferred uniform spacing and vanishing curvature in their ground state. Dislocations in the smectics play an important role in phase nucleation, layer reorientation, and…

Soft Condensed Matter · Physics 2017-06-28 Hillel Aharoni , Thomas Machon , Randall D. Kamien

Disclinations, first observed in mesomorphic phases, are relevant to a number of ill-ordered condensed matter media, with continuous symmetries or frustrated order. They also appear in polycrystals at the edges of grain boundaries. They are…

Soft Condensed Matter · Physics 2009-11-13 Maurice Kleman , Jacques Friedel

A recent study demonstrated that granular crystals containing a single dislocation exhibit dislocation glide analogous to that observed in atomic-scale crystals, resulting in plastic deformation at yield stresses several orders of magnitude…

Soft Condensed Matter · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

The paper investigates localized deformation patterns resulting from the onset of instabilities in lattice structures. The study is motivated by previous observations on discrete hexagonal lattices, where the onset of non-uniform,…

Soft Condensed Matter · Physics 2018-08-15 Raj Kumar Pal , Federico Bonetto , Luca Dieci , Massimo Ruzzene

Discrete dislocation plasticity (DDP) calculations are carried out to investigate the response of a single crystal contacted by a rigid sinusoidal asperity under sliding loading conditions to look for causes of microstructure change in the…

Materials Science · Physics 2022-07-20 Yilun Xu , Daniel S. Balint , Christian Greiner , Daniele Dini

A part of the theory of dislocations in crystals is revised with the aim to fit it into the framework of the nonlinear theory of plasticity initially designed for amorphous glassy materials.

Mathematical Physics · Physics 2007-05-23 Jeffrey Comer , Ruslan Sharipov

We investigate the structure and mobility of dislocations in hcp 4He crystals. In addition to fully characterizing the five elastic constants of this system, we obtain direct insight into dislocation core structures on the basal plane,…

Materials Science · Physics 2015-05-18 Renato Pessoa , S. A. Vitiello , Maurice de Koning

During plastic deformation, metals change shape while continuously becoming stronger. The microscopic origin of these processes lies in the proliferation and movement of line defects, dislocations, and the subsequent self-organisation and…

For a large class of fluids exhibiting ultrasoft bounded pair potentials, particles form crystals consisting of clusters located in the lattice sites, with a density-independent lattice constant. Here we present an investigation on the…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Christos N. Likos

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…

Materials Science · Physics 2020-01-15 Péter Dusán Ispánovity , Stefanos Papanikolaou , István Groma

We investigate the interaction between a light beam and a two-dimensional photonic lattice that is photo-induced in a photorefractive crystal using partially coherent light. We demonstrate that this interaction process is associated with a…

Pattern Formation and Solitons · Physics 2009-11-10 Hector Martin , Eugenia D. Eugenieva , Zhigang Chen , Demetrios N. Christodoulides

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

Dynamic heterogeneity is now recognised as a central aspect of structural relaxation in disordered materials with slow dynamics, and was the focus of intense research in the last decade. Here we describe how initial, indirect observations…

Statistical Mechanics · Physics 2010-09-28 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Robert L Jack

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

Understanding the drift motion and dynamical locking of crystalline clusters on patterned substrates is important for the diffusion and manipulation of nano- and micro-scale objects on surfaces. In a previous work, we studied the…

Soft Condensed Matter · Physics 2021-04-16 Xin Cao , Emanuele Panizon , Andrea Vanossi , Nicola Manini , Erio Tosatti , Clemens Bechinger
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