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Related papers: Dislocation core field. II. Screw dislocation in i…

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In this contribution, we investigate the interaction between electric and magnetic fields with an electric quadrupole moment of a spinless particle moving in an elastic medium which has a topological defect (screw dislocation). By…

Quantum Physics · Physics 2021-03-02 H. Hassanabadi , S. Zare , J. Kríž , B. C. Lütfüoğlu

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals

This study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann--Cartan manifolds. Following the standard Volterra process, we derived the Cartan moving frame,…

Materials Science · Physics 2024-12-18 Shunsuke Kobayashi , Katsumi Takemasa , Ryuichi Tarumi

A theory for conduction electron scattering by inhomogeneous crystal lattice strains is developed, based on the differential geometric treatment of deformations in solids. The resulting fully covariant Schr\"odinger equation shows that the…

Materials Science · Physics 2015-02-02 Koushik Viswanathan , Srinivasan Chandrasekar

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

In quasicrystals, there are not only conventional, but also phason displacement fields and associated Burgers vectors. We have calculated approximate solutions for the elastic fields induced by two-, three- and fivefold straight screw- and…

Materials Science · Physics 2009-11-07 M. Ricker , J. Bachteler , H. -R. Trebin

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 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

The aim of this comment is to show that anisotropic effects and image fields should not be omitted as they are in the publication of A. Leonardi, S. Ryu, N. M. Pugno, and P. Scardi (LRPS) [J. Appl. Phys. 117, 164304 (2015)] on Pd <011>…

Materials Science · Physics 2017-01-24 Jean-Marc Roussel , Marc Gailhanou

The high lattice mismatched SiC/Si(001) interface was investigated by means of combined classical and ab initio molecular dynamics. Among the several configurations analyzed, a dislocation network pinned at the interface was found to be the…

Materials Science · Physics 2007-09-12 Giancarlo Cicero , Laurent Pizzagalli , Alessandra Catellani

The intersection between dislocations and a Ag(111) surface has been studied using an interplay of scanning tunneling microscopy (STM) and molecular dynamics (MD). Whereas the STM provides atomically resolved information about the surface…

We investigate the deformation of a longitudinally stretched rectangular sheet which is clamped at two opposite boundaries and free otherwise with experiments, numerical analysis and asymptotic analysis of the biharmonic elastic equation…

Soft Condensed Matter · Physics 2018-07-31 Chopin Julien , Panaitescu Andreea , Kudrolli Arshad

Dislocations are one-dimensional (1D) topological line defects where the lattice deviates from the perfect crystal structure. The presence of dislocations transcends condensed matter research and gives rise to a diverse range of emergent…

Starting from three-dimensional elasticity we derive a rod theory for biphase materials with a prescribed dislocation at the interface. The stored energy density is assumed to be non-negative and to vanish on a set consisting of two copies…

Analysis of PDEs · Mathematics 2012-01-23 Stefan Müller , Mariapia Palombaro

Ti exhibits complex plastic deformation controlled by active dislocation and twinning systems. Understandings on dislocation cores and twin interfaces are currently not complete or quantitative, despite extensive experimental and simulation…

Materials Science · Physics 2024-03-28 Tongqi Wen , Anwen Liu , Rui Wang , Linfeng Zhang , Jian Han , Han Wang , David J. Srolovitz , Zhaoxuan Wu

Defects play a key role in deciding the mechanisms and kinetics of phase transformations. In this paper, we show how dislocations influence phase separation in alloys with miscibility gap. Specifically, depending on the ratio of pipe…

Materials Science · Physics 2021-07-28 Arjun Varma R , Prita Pant , M P Gururajan

We theoretically examine the validity of Matthiessen's rule caused by strong dislocation-dislocation interaction using a fully quantized dislocation field, where its degree of deviation is quantified at arbitrary electron energy,…

Materials Science · Physics 2017-07-18 Chu-Liang Fu , Mingda Li

Large-scale atomistic calculations, using empirical potentials for modeling semiconductors, have been performed on a stressed system with linear surface defects like steps. Although the elastic limits of systems with surface defects remain…

Materials Science · Physics 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

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

Owing to their non-planar cores 1/2<111> screw dislocations govern the plastic deformation of BCC metals. Atomistic studies of the glide of these dislocations at 0 K have been performed using Bond Order Potentials for molybdenum and…

Materials Science · Physics 2008-07-18 R. Gröger , A. G. Bailey , V. Vitek