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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

Elastic moduli and dislocation core energy of the triangular solid of hard disks of diameter $\sigma$ are obtained in the limit of vanishing dislocation- antidislocation pair density, from Monte Carlo simulations which incorporates a…

Statistical Mechanics · Physics 2009-10-31 S. Sengupta , P. Nielaba , K. Binder

In this paper, the dynamics of a system of a finite number of screw dislocations is studied. Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is determined by the renormalised energy. The interaction of one…

Dynamical Systems · Mathematics 2017-06-30 Thomas Hudson , Marco Morandotti

A long-standing discrepancy exists between experiments and atomistic models concerning the critical strain needed for surface nucleation of dislocations in silicon-germanium systems. While dislocation nucleation is readily observed in…

Applied Physics · Physics 2018-06-11 Xiaohan Zhang , Wei Cai

In this paper we present the equations of motion of a moving screw dislocation in the framework of the translation gauge theory of dislocations. In the gauge field theoretical formulation, a dislocation is a massive gauge field. We…

Materials Science · Physics 2015-05-13 Markus Lazar

In Laves phases, synchroshear is the dominant basal slip mechanism. It is accomplished by the glide of synchro-Shockley dislocations. However, the atomic-scale mechanisms of motion of such zonal dislocations are still not well understood.…

The interaction of edge dislocation with helium-implantation-induced defects in tungsten is investigated using molecular dynamics. Following prior investigations, we consider defects with two helium ions in a vacancy with a…

Materials Science · Physics 2023-04-28 Suchandrima Das , Andrea Sand , Felix Hofmann

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

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

Using density functional theory with the generalized gradient approximation and ultra-soft pseudo-potentials, we have calculated structural relaxations of the Cu(532) surface which contains steps and kinks. We find the relaxation pattern to…

Materials Science · Physics 2009-11-11 Faisal Mehmood , Abdelkader Kara , Talat S. Rahman

The mechanical properties of a solid, which relate its deformation to external applied forces, are key factors in enabling or disabling the use of an otherwise optimal material in any application, strongly influencing also its service…

Materials Science · Physics 2025-08-28 Margherita Marsili , Elisa Damiani , Davide Dalle Ave , Gabriele Losi , M. Clelia Righi

Dislocations are line defects in crystalline solids and often exert a significant influence on the mechanical properties of metals. Recently, there has been a growing interest in using dislocations in ceramics to enhance materials…

Materials Science · Physics 2025-10-28 Haoxuan Wang , Yifan Wang , Xu Liang , Wenshan Yu , Xufei Fang , Shengping Shen

We formulate a variational model for a geometrically necessary screw dislocation in an anti-plane lattice model at zero temperature. Invariance of the energy functional under lattice symmetries renders the problem non-coercive.…

Analysis of PDEs · Mathematics 2014-04-29 Thomas Hudson , Christoph Ortner

Kinks (or domain walls) are localized transitions between distinct ground states associated with a topological invariant, and are central to many phenomena across physics, from condensed matter to cosmology. While phonon (i.e.,…

Pattern Formation and Solitons · Physics 2025-02-25 Kai Qian , Nan Cheng , Francesco Serafin , Kai Sun , Georgios Theocharis , Xiaoming Mao , Nicholas Boechler

Dislocation patterning and self-organization during plastic deformation are associated with work hardening, but the exact mechanisms remain elusive. This is partly because studies of the structure and local strain during the initial stages…

In recent years there has been renewed interest in the behavior of dislocations in crystals that exhibit strong atomic scale disorder, as typical of compositionally complex single phase alloys. The behavior of dislocations in such crystals…

Materials Science · Physics 2021-10-26 Aviral Vaid , De'an Wei , Erik Bitzek , Samaneh Nasiri , Michael Zaiser

We study atomistically the fracture of single crystal silicon at atomically sharp notches with opening angles of 0 degrees (a crack), 70.53 degrees, 90 degrees and 125.3 degrees. Such notches occur in silicon that has been formed by etching…

Materials Science · Physics 2007-05-23 Nicholas P. Bailey , James P. Sethna

We carry out strain-controlled in-situ compression experiments of micron-sized tungsten (W) micropillars in the temperature range 300-900 K, together with simulations of three-dimensional discrete dislocation dynamics (DDD) at the same…

Materials Science · Physics 2026-02-26 Yang Li , Inam Lalani , Matthew Maron , William Hixson , Biao Wang , Nasr Ghoniem , Giacomo Po

Shock compression of silicon (Si) under extremely high pressures (>100 Mbar) was investigated by using two first-principles methods of orbital-free molecular dynamics (OFMD) and path integral Monte Carlo (PIMC). While pressures from the two…

Materials Science · Physics 2016-12-21 S. X. Hu , B. Militzer , L. A. Collins , K. P. Driver , J. D. Kress

Dislocations in soft condensed matter systems such as lamellar systems of polymers, liquid crystals and ternary mixtures of oil, water and surfactant (amphiphilic systems) are described in the framework of continuum elastic theory. These…

Condensed Matter · Physics 2015-06-25 R. Holyst , P. Oswald