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The interaction of two screw dislocations in smectic-A liquid crystals is treated using an anharmonic correction to the elastic energy density. In the present contribution the elastic energy and the force between two screw dislocations is…

软凝聚态物质 · 物理学 2020-09-02 Lubor Lejcek

Following Nye and Berry's analogy with crystal dislocations, an approach to the Burgers vector of a wave dislocation (phase singularity, optical vortex) is proposed. It is defined to be a regularized phase gradient evaluated at the phase…

光学 · 物理学 2010-05-31 Mark R. Dennis

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…

动力系统 · 数学 2017-06-30 Thomas Hudson , Marco Morandotti

In this paper we consider and compare special classes of static theories of gradient elasticity, nonlocal elasticity, gradient micropolar elasticity and nonlocal micropolar elasticity with only one gradient coefficient. Equilibrium…

材料科学 · 物理学 2009-11-11 M. Lazar , G. A. Maugin , E. C. Aifantis

By means of linear theory of elastoplasticity, solutions are given for screw and edge dislocations situated in an isotropic solid. The force stresses, strain fields, displacements, distortions, dislocation densities and moment stresses are…

材料科学 · 物理学 2007-05-23 Markus Lazar

The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier…

材料科学 · 物理学 2010-12-24 Kamyar Davoudi , Hossein Davoudi , Elias Aifantis

We investigate the nonuniform motion of a straight screw dislocation in infinite media in the framework of the translational gauge theory of dislocations. The equations of motion are derived for an arbitrary moving screw dislocation. The…

材料科学 · 物理学 2015-05-18 Markus Lazar

Volterra's definition of dislocations in crystals distinguishes edge and screw defects geometrically, according to whether the Burgers vector is perpendicular or parallel to the defect. Here, we demonstrate a distinction between screw and…

材料科学 · 物理学 2024-01-25 Paul G. Severino , Randall D. Kamien

In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain analytical results on the estimates of collision times (one…

偏微分方程分析 · 数学 2017-05-24 Marco Morandotti

The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We…

材料科学 · 物理学 2011-02-21 Markus Lazar

In this paper we consider the dynamics of dislocations with the same Burgers vector, contained in the same glide plane, and moving in a material with periodic obstacles. We study two cases: i) the particular case of parallel straight…

偏微分方程分析 · 数学 2015-05-13 A. El Hajj , H. Ibrahim , R. Monneau

Spatial dependence of the magnetic field and the superconducting current in a flux line pinned by a screw dislocation are computed. Interaction of a superconducting vortex with the chiral-symmetry breaking elastic strain of a screw…

材料科学 · 物理学 2009-11-07 Eugene M. Chudnovsky

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.…

偏微分方程分析 · 数学 2014-04-29 Thomas Hudson , Christoph Ortner

An approximate equation of motion is proposed for screw and edge dislocations, which accounts for retardation and for relativistic effects in the subsonic range. Good quantitative agreement is found, in accelerated or in decelerated…

材料科学 · 物理学 2008-04-17 L. Pillon , C. Denoual , Y. -P. Pellegrini

In the modeling of dislocations one is lead naturally to energies concentrated on lines, where the integrand depends on the orientation and on the Burgers vector of the dislocation, which belongs to a discrete lattice. The dislocations may…

偏微分方程分析 · 数学 2016-11-14 Sergio Conti , Adriana Garroni , Annalisa Massaccesi

By direct application of stress in molecular statics calculations we identify the stress components that affect the glide of 1/2<111> screw dislocations in bcc tungsten. These results prove that the hydrostatic stress and the normal stress…

材料科学 · 物理学 2015-06-17 R. Gröger

We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli and Gurtin, methods of Calculus of Variations are exploited to prove existence of solutions, and to…

偏微分方程分析 · 数学 2014-10-24 Timothy Blass , Marco Morandotti

We consider a static theory of dislocations with moment stress in an anisotropic or isotropic elastoplastical material as a T(3)-gauge theory. We obtain Yang-Mills type field equations which express the force and the moment equilibrium.…

凝聚态物理 · 物理学 2008-11-26 Markus Lazar

The dynamics of dislocations in a two-dimensional vortex lattice is studied in the presence of a pinning potential and a transport current. In a vortex lattice drifting with velocity $v$ a glide velocity $V_d$ of the dislocation with…

超导电性 · 物理学 2016-08-31 Stefan Scheidl , Valerii Vinokur

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…

材料科学 · 物理学 2025-03-20 Ronghai Wu , Michael Zaiser
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