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The technique of distributed dislocations proved to be in the past an effective approach in studying crack problems within classical elasticity. The present work is intended to extend this technique in studying crack problems within…

数学物理 · 物理学 2017-07-04 P. A. Gourgiotis , H. G. Georgiadis

A multiscale approach based on molecular dynamics (MD) and kinetic Monte Carlo (kMC) methods is developed to simulate the dynamics of an $\langle \mathbf{a} \rangle$ screw dislocation in $\alpha$-Ti. The free energy barriers for the core…

材料科学 · 物理学 2023-12-22 Anwen Liu , Tongqi Wen , Jian Han , David J. Srolovitz

The ability of a body-centered cubic metal to deform plastically is limited by the thermally activated glide motion of screw dislocations, which are line defects with a mobility exhibiting complex dependence on temperature, stress, and…

材料科学 · 物理学 2020-11-25 M. Boleininger , M. Gallauer , S. L. Dudarev , T. D. Swinburne , D. R. Mason , D. Perez

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

The interplay between topological defects, such as dislocations or disclinations, and the electronic degrees of freedom in graphene has been extensively studied. In the literature, for the study of this kind of problems, it is in general…

强关联电子 · 物理学 2023-06-07 Nicolás Fernández , Pierre Pujol , Mario Solís , Teofilo Vargas

In this paper we present a simple and effective numerical method which allows a fast Fourier transformation-based evaluation of stress generated by dislocations with arbitrary directions and Burgers vectors if the (site-dependent)…

材料科学 · 物理学 2018-04-06 D. V. Berkov , N. L. Gorn

This note collects some results on the behaviour of screw dislocation in an elastic medium. By using a semi-discrete model, we are able to investigate two specific aspects of the dynamics, namely (i) the interaction with free boundaries and…

偏微分方程分析 · 数学 2017-07-20 Marco Morandotti

Solutions to the differential equations of linear elasticity in the continuum limit in arbitrary crystal symmetry are known only for steady-state dislocations of arbitrary character, i.e. line defects moving at constant velocity. Troubled…

材料科学 · 物理学 2021-04-27 Daniel N. Blaschke

Dislocations, line defects in crystalline materials, play an essential role in the mechanical[1,2], electrical[3], optical[4], thermal[5], and phase transition[6] properties of these materials. Dislocation motion, an important mechanism…

材料科学 · 物理学 2023-07-04 Mingqiang Li , Yidi Shen , Kun Luo , Qi An , Peng Gao , Penghao Xiao , Yu Zou

We study paraxial beam propagation parallel to the screw axis of a dislocated amorphous medium that is optically weakly inhomogeneous and isotropic. The effect of the screw dislocation on the beam's orbital angular momentum is shown to…

光学 · 物理学 2011-07-04 L. Mashhadi , M. Mehrafarin

Theory predicts limiting gliding velocities that dislocations cannot overcome. Computational and recent experiments have shown that these limiting velocities are soft barriers and dislocations can reach transonic speeds in high rate plastic…

材料科学 · 物理学 2025-02-18 Kathryn R. Jones , Khanh Dang , Daniel N. Blaschke , Saryu J. Fensin , Abigail Hunter

In this work, we investigate the topological properties of knotted defects in smectic liquid crystals. Our story begins with screw dislocations, whose radial surface structure can be smoothly accommodated on $S^3$ for fibred knots by using…

软凝聚态物质 · 物理学 2025-06-16 Paul G. Severino , Randall D. Kamien , Benjamin Bode

Starting from the assumption that all possible orientations of grains are equally probable, we prove that the geometric factor of thermodynamic dislocation theory for polycrystals subjected to axially symmetric tension or compression must…

材料科学 · 物理学 2020-03-30 Tuan Minh Tran , Khanh Chau Le , Thi Hoa Le

This review is a simplified summary of the thermodynamic dislocation theory, with special emphasis on the role of an effective temperature. Materials scientists, for decades, have asserted that statistical thermodynamics is not applicable…

材料科学 · 物理学 2023-05-03 J. S. Langer

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…

凝聚态物理 · 物理学 2015-06-25 R. Holyst , P. Oswald

This paper investigates the stress and displacement distribution in a two-dimensional elastic hollow disk subjected to distributed diametric loading, extending our previous analysis of concentrated loading [Okamura et al. Strength Mater.…

软凝聚态物质 · 物理学 2025-05-29 Ken Okamura , Yosuke Sato , Satoshi Takada

In this letter, we introduce a geometric model to explain the origin of the observed shallow levels in semiconductors threaded by a dislocation density. We show that a uniform distribution of screw dislocations acts as an effective uniform…

量子物理 · 物理学 2012-11-01 K. Bakke , F. Moraes

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

材料科学 · 物理学 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

Hydrogen embrittlement (HE) poses a significant challenge to the durability of materials used in hydrogen production and utilization. Disentangling the competing nanoscale mechanisms driving HE often relies on simulations and…

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