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We discuss the theoretical solution to the differential equations governing accelerating edge dislocations in anisotropic crystals. This is an important prerequisite to understanding high speed dislocation motion, including an open question…

材料科学 · 物理学 2023-05-30 Daniel N. Blaschke , Khanh Dang , Saryu Fensin , Darby J. Luscher

We classify and distinguish optically biaxial materials, which can have triclinic, monoclinic or orthorhombic crystal symmetry, by the degeneracy of the indices of refraction of their four singular optical axes (Windungsachsen) in the…

材料科学 · 物理学 2016-06-08 Marius Grundmann , Chris Sturm

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

材料科学 · 物理学 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

The band structure of a crystal may have points where two or more bands are degenerate in energy and where the geometry of the Bloch state manifold is singular, with consequences for material and transport properties. Ultracold atoms in…

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · 物理学 2009-10-30 J. M. Rickman , Jorge Vinals

Crystal defects play a large role in how materials respond to their surroundings, yet there are many uncertainties in how extended defects form, move, and interact deep beneath a material's surface. A newly developed imaging diagnostic,…

数据分析、统计与概率 · 物理学 2020-08-13 Arnulfo Gonzalez , Marylesa Howard , Sean Breckling , Leora E. Dresselhaus-Marais

The high mechanical strength and excellent flexibility of 2D materials such as graphene are some of their most important properties [1]. Good flexibility is key for exploiting 2D materials in many emerging technologies, such as wearable…

介观与纳米尺度物理 · 物理学 2018-09-05 A. P. Rooney , Z. Li , W. Zhao , A. Gholinia , A. Kosikov , G. Auton , F. Ding , R. V. Gorbachev , R. J. Young , S. J Haigh

In this paper a geometric field theory of dislocation dynamics and finite plasticity in single crystals is formulated. Starting from the multiplicative decomposition of the deformation gradient into elastic and plastic parts, we use…

材料科学 · 物理学 2023-08-02 Fabio Sozio , Arash Yavari

Dislocations have a profound influence on materials functional properties. In this perspective, we discuss the recent development of quantized dislocations - a theoretical tool that aims to compute the role of dislocations on materials'…

材料科学 · 物理学 2018-10-22 Mingda Li , Ricardo Pablo-Pedro

Freestanding tubular crystals offer a general description of crystalline order on deformable surfaces with cylindrical topology, such as single-walled carbon nanotubes, microtubules, and recently reported colloidal assemblies. These systems…

软凝聚态物质 · 物理学 2023-09-11 Andrei Zakharov , Daniel A. Beller

The phase-field crystal model in its amplitude equation approximation is shown to provide an accurate description of the deformation field in defected crystalline structures, as well as of dislocation motion. We analyze in detail the…

材料科学 · 物理学 2020-01-01 Marco Salvalaglio , Luiza Angheluta , Zhi-Feng Huang , Axel Voigt , Ken R. Elder , Jorge Viñals

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

Stacking orders and topological defects substantially influence the physical properties of 2D van der Waals (vdW) materials. However, the inherent features of 2D materials challenge the effectiveness of single characterization techniques in…

Lie groupoids and their associated algebroids arise naturally in the study of the constitutive properties of continuous media. Thus, Continuum Mechanics and Differential Geometry illuminate each other in a mutual entanglement of theory and…

微分几何 · 数学 2017-12-27 Marcelo Epstein , Manuel de Leon

The motion of line defects (dislocations) has been studied for over 60 years but the maximum speed at which they can move is unresolved. Recent models and atomistic simulations predict the existence of a limiting velocity of dislocation…

Plastic inhomogeneity, particularly localised strain, is one of the main mechanisms responsible for failures in engineering alloys. This work studied the spatial arrangement and distribution of microstructure and their influence in the…

材料科学 · 物理学 2023-03-21 Jalal Al-Lami , Thibaut Dessolier , Talha Pirzada , Minh-Son Pham

We perform atomistic Monte Carlo simulations of bending a Lennard-Jones single crystal in two dimensions. Dislocations nucleate only at the free surface as there are no sources in the interior of the sample. When dislocations reach…

材料科学 · 物理学 2009-11-11 N. Scott Weingarten , Robin L. B. Selinger

Plastic deformation, at all strain rates, is accommodated by the collective motion of crystalline defects known as dislocations. Here, we extend an analysis for the energetic stability of a straight dislocation, the so-called line tension…

材料科学 · 物理学 2018-08-29 Daniel N. Blaschke , Benjamin A. Szajewski

We predict the existence of a novel class of multidimensional light localizations in out-of-equilibrium ferroelectric crystals. In two dimensions, the non-diffracting beams form at arbitrary low power level and propagate even when their…

光学 · 物理学 2013-05-29 Claudio Conti , Aharon J. Agranat , Eugenio DelRe

Strain and rotation fields of dislocations in monolayer graphene have been mapped in a recent experiment. These fields are finite everywhere and differ from those given by linear elasticity which does not consider rotation explicitly and…

介观与纳米尺度物理 · 物理学 2012-07-25 L. L. Bonilla , A. Carpio