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We develop a continuum dislocation description of twist and stretch moire superlattices in 2D material bilayers. The continuum formulation is based on the topological constraints introduced by the periodic dislocation network associated…

Materials Science · Physics 2020-11-18 Emil Annevelink , Harley Johnson , Elif Ertekin

At high area fractions, monolayers of colloidal dimer particles form a degenerate crystal (DC) structure in which the particle lobes occupy triangular lattice sites while the particles are oriented randomly along any of the three lattice…

Soft Condensed Matter · Physics 2008-11-10 Sharon J. Gerbode , Stephanie H. Lee , Chekesha M. Liddell , Itai Cohen

In this paper we introduce Peierls-Nabarro type models for edge dislocations at semi-coherent interfaces between two heterogeneous crystals, and prove the optimality of uniformly distributed edge dislocations. Specifically, we show that the…

Analysis of PDEs · Mathematics 2023-04-26 Silvio Fanzon , Marcello Ponsiglione , Riccardo Scala

We analyse the equilibrium pile-up configurations of infinite periodic walls of edge dislocations which are forced against an impenetrable obstacle by a constant applied shear stress. Numerically generated density distributions exhibit two…

Materials Science · Physics 2016-04-12 T. W. J. de Geus , R. H. J. Peerlings , C. B. Hirschberger

The stability of the perfect screw dislocation in silicon has been investigated using both classical potentials and first-principles calculations. Although a recent study by Koizumi et al . stated that the stable screw dislocation was…

Materials Science · Physics 2007-09-12 Laurent Pizzagalli , Pierre Beauchamp , Jacques Rabier

Disappearance of a stacking fault in the hard-sphere crystal under gravity, such as reported by Zhu et al. [Nature 387 (1997) 883], has successfully been demonstrated by Monte Carlo simulations. We previously found that a less ordered (or…

Soft Condensed Matter · Physics 2008-12-19 Atsushi Mori , Yoshihisa Suzuki , Shin-ichiro Yanagiya , Tsutomu Sawada , Kensaku Ito

A novel semidiscrete Peierls-Nabarro model is introduced which can be used to study dislocation spreading at more than one slip planes, such as dislocation cross-slip and junctions. The strength of the model, when combined with ab initio…

Materials Science · Physics 2009-11-07 Gang Lu , Vasily V. Bulatov , Nicholas Kioussis

We report on the first direct nanoscale imaging of elementary edge dislocations in a thermotropic chiral smectic C liquid crystal with the Burgers vector equal to one smectic layer spacing d. We find two different types of dislocation…

Soft Condensed Matter · Physics 2015-09-02 C. Zhang , A. M. Grubb , A. J. Seed , P. Sampson , A. Jákli , O. D. Lavrentovich

Although the favored glide planes in hexagonal close-packed Zr are prismatic, screw dislocations can escape their habit plane to glide in either pyramidal or basal planes. Using abinitio calculations within the nudged elastic band method,…

Materials Science · Physics 2014-02-25 Nermine Chaari , Emmanuel Clouet , David Rodney

Plasticity in zirconium is controlled by 1/3<1-210> screw dislocations gliding in the prism planes of the hexagonal close-packed structure. This prismatic and not basal glide is observed for a given set of transition metals like zirconium…

Materials Science · Physics 2012-10-04 Emmanuel Clouet

The influence of magnetism on the properties of screw dislocations in body-centered cubic chromium is investigated by means of ab initio calculations. Screw dislocations having Burgers vectors 1/2 111 and 100 are considered, following…

Materials Science · Physics 2021-05-21 Baptiste Bienvenu , Chu Fu , Emmanuel Clouet

Palladium is an ideal system for understanding the behavior of hydrogen in metals. In Pd, H is located both in octahedral sites and in dislocation cores, which act as nanoscale H traps and form Cottrell atmospheres. Adjacent to a…

Materials Science · Physics 2010-11-19 Hadley M. Lawler , Dallas R. Trinkle

Methods: Observing the large pc-scale Stokes I mm dust continuum emission with the IRAM 30m telescope and the intermediate-scale (<0.1pc) polarized submm dust emission with the Submillimeter Array toward a sample of 20 high-mass…

Quasicrystals (QCs) are a class of aperiodic ordered structures that emerge in various systems, from metallic alloys to soft matter and driven non-equilibrium systems. Within a mesoscale theory based on slowly-varying complex amplitudes for…

Materials Science · Physics 2025-09-12 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

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 focus on existence and rigidity problems of the vectorial Peierls-Nabarro (PN) model for dislocations. Under the assumption that the misfit potential on the slip plane only depends on the shear displacement along the Burgers vector, a…

Analysis of PDEs · Mathematics 2022-11-08 Yuan Gao , Jian-Guo Liu , Zibu Liu

A possible mechanism for the formation of a 90{\deg} misfit dislocation at the Ge/Si(001) interface through homogeneous nucleation is identified from atomic scale calculations where a minimum energy path connecting the coherent epitaxial…

We develop and demonstrate the first general computational tool for finite deformation static and dynamic dislocation mechanics. A finite element formulation of finite deformation (Mesoscale) Field Dislocation Mechanics theory is presented.…

Materials Science · Physics 2020-06-24 Rajat Arora , Xiaohan Zhang , Amit Acharya

The generalized stacking fault energy is a key ingredient to mesoscale models of dislocations. Here we develop an approach to quantify the dependence of generalized stacking fault energies on the degree of chemical disorder in…

Materials Science · Physics 2020-01-22 Anirudh Raju Natarajan , Anton Van der Ven

We study dislocation networks in the plane using the vectorial phase-field model introduced by Ortiz and coworkers, in the limit of small lattice spacing. We show that, in a scaling regime where the total length of the dislocations is…

Analysis of PDEs · Mathematics 2020-01-24 Sergio Conti , Adriana Garroni , Stefan Müller