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Related papers: First-principles study of $\langle c+a \rangle$ di…

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This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. reference, intermediate and current configurations, are expressed as…

Numerical Analysis · Mathematics 2022-05-09 Shunsuke Kobayashi , Ryuichi Tarumi

The mechanical behaviour of Mg-Al alloys can be largely improved by the formation of an intermetallic Laves phase skeleton, in particular the creep strength. Recent nanomechanical studies revealed plasticity by dislocation glide in the…

Background: Recent experiments on beta-delayed fission in the mercury-lead region and the discovery of asym- metric fission in 180 Hg [1] have stimulated theoretical interest in the mechanism of fission in heavy nuclei. Purpose: We study…

Nuclear Theory · Physics 2015-06-05 M. Warda , A. Staszczak , W. Nazarewicz

In this work electron backscattered diffraction (EBSD)-assisted slip trace analysis and transmission electron microscopy have been utilized to investigate the interaction of basal dislocations with precipitates in the Mg alloys…

Materials Science · Physics 2024-02-13 C. M. Cepeda-Jiménez , M. Castillo-Rodríguez , M. T. Pérez-Prado

Several transition metals were examined to evaluate their potential for improving the ductility of tungsten. The dislocation core structure and Peierls stress and barrier of $1/2<111>$ screw dislocations in binary tungsten-transition metal…

Materials Science · Physics 2015-04-10 G. D. Samolyuk , Y. N. Osetsky , R. E. Stoller

Magnesium (Mg) alloys have emerged as promising materials due to their low density and high strength-to-weight ratio, offering a wide range of applications across multiple industries. Nevertheless, the inherent brittleness of Mg alloys…

Materials Science · Physics 2024-04-02 Qiwen Qiu , Stephen Yue , Jun Song

The fundamental problem of non-singular dislocations in the framework of the theory of gradient elasticity is presented in this work. Gradient elasticity of Helmholtz type and bi-Helmholtz type are used. A general theory of non-singular…

Materials Science · Physics 2015-12-01 Markus Lazar

In this paper we show the emergence of polycrystalline structures as a result of elastic energy minimisation. For this purpose, we introduce a variational model for two-dimensional systems of edge dislocations, within the so-called core…

Analysis of PDEs · Mathematics 2023-04-26 Silvio Fanzon , Mariapia Palombaro , Marcello Ponsiglione

We present results of self-consistent, full-potential electronic structure calculations for slabs of hexagonal graphite with stacking faults and for slabs with one displaced surface layer. There are two types of stacking faults, which…

Materials Science · Physics 2015-06-17 M. Taut , K. Koepernik , M. Richter

We investigate the effect of a crystal edge dislocation on the metallic surface of a Topological Insulator. The edge dislocation gives rise to torsion which the electrons experience as a spin connection. As a result the electrons propagate…

Mesoscale and Nanoscale Physics · Physics 2011-10-31 D. Schmeltzer

First-principles alloy theory is used to establish the $\gamma$-surface of Fe-Cr-Ni alloys as function of chemical composition and temperature. The theoretical stacking fault energy (SFE) versus chemistry and temperature trends agree well…

Materials Science · Physics 2016-03-23 Wei Li , Song Lu , Dongyoo Kim , Se Kyun Kwon , Kalevi Kokko , Levente Vitos

In recent years, the behavior of dislocations in random solid solutions has received renewed interest, and several models have been discussed where random alloys are treated as effective media containing random distributions of dilatation…

Materials Science · Physics 2025-03-20 Ronghai Wu , Michael Zaiser

Understanding the evolution of dislocation structures during plastic deformation is critical for predicting the mechanical performance of metallic materials. In this work, we applied in situ scanning electron microscopy/electron backscatter…

Materials Science · Physics 2026-03-24 Mikhail Lebyodkin , Maxim Gussev , Jamieson Brechtl , Tatiana Lebedkina

In seeking to understand at a microscopic level the response of dislocations to stress we have undertaken to study as completely as possible the simplest case: a single dislocation in a two dimensional crystal. The intention is that results…

Materials Science · Physics 2007-05-23 N. Bailey , J. Sethna , C. Myers

We formulate the chiral decomposition rules that govern the electronic structure of a broad family of twisted $N+M$ multilayer graphene configurations that combine arbitrary stacking order and a mutual twist. We show that at the magic angle…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 ShengNan Zhang , Bo Xie , QuanSheng Wu , Jianpeng Liu , Oleg V. Yazyev

The properties of perfect screw dislocations have been investigated for several zinc-blende materials such as diamond, Si, $\beta$-SiC, Ge and GaAs, by performing first principles calculations. For almost all elements, a core configuration…

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

We report the first ab initio density-functional study of <111> screw dislocations cores in the bcc transition metals Mo and Ta. Our results suggest a new picture of bcc plasticity with symmetric and compact dislocation cores, contrary to…

Materials Science · Physics 2009-10-31 Sohrab Ismail-Beigi , T. A. Arias

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

In crystal plasticity finite element (CPFE) simulations, accurately quantifying geometrically necessary dislocations (GNDs) is critical for capturing strain gradients in polycrystals. We compare different methods for quantifying GNDs, all…

Materials Science · Physics 2026-01-28 Michael Pilipchuk , Chaitali Patil , Veera Sundararaghavan

Mn enrichment at dislocations in Fe-Mn alloys due to segregation and spinodal decomposition along the dislocation line is studied via modeling and experimental characterization. To model these phenomena, both finite-deformation microscopic…