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We introduce a phenomenological theory of dislocation motion appropriate for two dimensional lattices. A coarse grained description is proposed that involves as primitive variables local lattice rotation and Burgers vector densities along…

Materials Science · Physics 2016-02-02 Brent Perreault , Jorge Vinals , Jeffrey M. Rickman

Point defects such as interstitials, vacancies, and impurities in otherwise perfect crystals induce complex displacement fields that are of long-range nature. In the present paper we study numerically the response of a two-dimensional…

Soft Condensed Matter · Physics 2009-11-13 Wolfgang Lechner , Elisabeth Schöll-Paschinger , Christoph Dellago

We report numerical results on the velocity statistics of topological defects during the dynamics of phase ordering and non-relaxational evolution assisted by an external shear ow. We propose a numerically efficient tracking method for…

Statistical Mechanics · Physics 2015-06-03 Luiza Angheluta , Patricio Jeraldo , Nigel Goldenfeld

The sedimentation of a surfactant-laden deformable viscous drop acted upon by an electric field is considered theoretically. The convection of surfactants in conjunction with the the combined effect electrohydrodynamic flow and…

Fluid Dynamics · Physics 2019-05-09 Antarip Poddar , Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakrabort

This work presents a new modeling approach to macroscopic, polycrystalline elasto-plasticity starting from first principles and a few well-defined structural assumptions, incorporating the mildly rate-dependent (viscous) nature of plastic…

Materials Science · Physics 2015-12-21 Filip Rindler

Continuum dislocation dynamics (CDD) represents the evolution of systems of curved and connected dislocation lines in terms of density-like field variables which include the volume density of loops (or 'curvature density') as an additional…

Materials Science · Physics 2023-01-04 Xi Luo , Michael Zaiser

We consider dislocations in a vortex lattice that is driven in a two-dimensional superconductor with random impurities. The structure and dynamics of dislocations is studied in this genuine nonequilibrium situation on the basis of a…

Statistical Mechanics · Physics 2009-10-31 Igor S. Aranson , Stefan Scheidl , Valerii M. Vinokur

The internal energy associated with the defect microstructure of strongly deformed crystals provides an important driving force for grain boundary motion during recrystallization. Typical dislocation microstructures are strongly…

Materials Science · Physics 2026-01-13 Yufan Zhang , Michael Zaiser

We investigate the mechanical response of packings of purely repulsive, frictionless disks to quasistatic deformations. The deformations include simple shear strain at constant packing fraction and at constant pressure, "polydispersity"…

Soft Condensed Matter · Physics 2020-10-29 P. J. Tuckman , K. VanderWerf , Y. Yuan , S. Zhang , J. Zhang , M. D. Shattuck , C. S. O'Hern

Formation energies of charged point defects in semiconductors are calculated using periodic supercells, which entail a divergence arising from long-range Coulombic interactions. The divergence is typically removed by the so-called jellium…

Materials Science · Physics 2019-11-27 Andrew O'Hara , Blair R. Tuttle , Xiao-Guang Zhang , Sokrates T. Pantelides

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

Fluid Dynamics · Physics 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

A theoretical framework for dislocation dynamics in quasicrystals is provided according to the continuum theory of dislocations. Firstly, we present the fundamental theory for moving dislocations in quasicrystals giving the dislocation…

Materials Science · Physics 2016-12-14 Eleni Agiasofitou , Markus Lazar , Helmut Kirchner

The interaction between dislocations is fundamental to plastic deformation, work hardening, and defect accumulation. While extensive research has focused on the impact of solutes on individual dislocations, how solutes affect…

Materials Science · Physics 2024-09-25 Jie Hou , Ducheng Peng , Xiang-Shan Kong , Huiqiu Deng , Wangyu Hu , Cheng Chen , Jun Song

The hydrodynamics of crystals with vacancies is developed on the basis of local-equilibrium thermodynamics, where the chemical potential of vacancies plays a key role together with a constraint relating the concentration of vacancies to the…

Statistical Mechanics · Physics 2024-08-15 Joel Mabillard , Pierre Gaspard

Dislocations are topological defects known to be crucial in the onset of plasticity and in many properties of crystals. Classical Elasticity still fails to fully explain their dynamics under extreme conditions of high strain gradients and…

Soft Condensed Matter · Physics 2021-01-05 P. C. N. Pereira , S. W. S. Apolinario

Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

Materials Science · Physics 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

Topological defects play a central role in the formation and organization of various biological systems. Historically, such nonequilibrium defects have been mainly studied in the context of homogeneous active nematics. Phase-separated…

Soft Condensed Matter · Physics 2023-07-13 Timo Krüger , Ivan Maryshev , Erwin Frey

Capture, selective collection and flight manipulation of airborne particulate are three important functional requirements in various actively growing aerosol technology applications. Aerodynamic drag, particle inertia and dielectrophoretic…

Soft Condensed Matter · Physics 2022-03-16 Pramodt Srinivasula , Rochish M Thaokar

We present an analysis of the time evolution of self-interstitial atom and vacancy (point defect) populations in pure bcc metals under constant irradiation flux conditions. Mean-field rate equations are developed in parallel to a kinetic…

Materials Science · Physics 2009-11-10 Joerg Rottler , David J. Srolovitz , Roberto Car