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Related papers: Melting at dislocations and grain boundaries: A Ph…

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Melting in two-dimensional systems has remained controversial as theory, simulations, and experiments show contrasting results. One issue that obscures this discussion is whether or not theoretical predictions on strictly 2D systems…

Soft Condensed Matter · Physics 2014-07-11 Weikai Qi , Anjan P. Gantapara , Marjolein Dijkstra

The interplay between the diffusion-controlled dynamics of a solidification front and the trajectory of a grain boundary groove at the solid-liquid interface is studied by means of thin-sample directional solidification experiments of a…

Using a recently developed continuum theory of dislocation dynamics, we derive three new predictions about plasticity and grain boundary formation in crystals. (1) There will be a residual stress jump across grain boundaries and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Surachate Limkumnerd James P. Sethna

We consider the grain growth and stagnation in polycrystalline microstructures. From the phase field crystal modelling of the coarsening dynamics, we identify a transition from a grain-growth stagnation upon deep quenching below the melting…

Materials Science · Physics 2013-09-20 Mathias Bjerre , Jens Magelund Tarp , Luiza Angheluta , Joachim Mathiesen

We study the Grain Boundary (GB) migration based on the underlying disconnection structure and mechanism. Disconnections are line defects that lie solely within a GB and are characterized by both a Burgers vector and a step height, as set…

Materials Science · Physics 2019-10-23 Chaozhen Wei , Spencer L. Thomas , Jian Han , David J. Srolovitz , Yang Xiang

The material properties of polycrystals are strongly affected by the evolution and coarsening of their internal grain structures. Yet, studying this process is challenging due to the complex interactions within grain boundary networks.…

We present a novel phase-field approach for investigating solute segregation in a moving grain boundary. In our model, the correct choice of various parameters can control the solute-grain boundary interaction potential, resulting in…

Materials Science · Physics 2023-08-17 Sandip Guin , Miral Verma , Soumya Bandyopadhyay , Yu-Chieh Lo , Rajdip Mukherjee

A phase field crystal model is used to investigate the mechanisms of formation and growth of early clusters in quenched/aged dilute binary alloys, a phenomenon typically outside the scope of molecular dynamics time scales. We show that…

Materials Science · Physics 2012-10-05 Vahid Fallah , Jonathan Stolle , Nana Ofori-Opoku , Shahrzad Esmaeili , Nikolas Provatas

The sharp growth of the fracture toughness after brittle-ductile transition happens at grain sizes approximately equal to the plastic zone size. Here we analyze the influence of the grain boundary on the evolution of the ensemble of…

Materials Science · Physics 2025-07-22 K. M. Borysovska , N. M. Marchenko , Yu. Koval , Yu. N. Podrezov , S. A. Firstov

We develop a theory for dislocation-mediated structural transitions in the vortex lattice which allows for a unified description of phase transitions between the three phases, the elastic vortex glass, the amorphous vortex glass, and the…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Kierfeld , V. Vinokur

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…

Materials Science · Physics 2020-01-01 Marco Salvalaglio , Luiza Angheluta , Zhi-Feng Huang , Axel Voigt , Ken R. Elder , Jorge Viñals

Solids with spatial variations in the crystalline axes naturally evolve into cells or grains separated by sharp walls. Such variations are mathematically described using the Nye dislocation density tensor. At high temperatures,…

Materials Science · Physics 2009-11-11 Surachate Limkumnerd , James P. Sethna

The ability to use external magnetic fields to influence the microstructure in polycrystalline materials has potential applications in microstructural engineering. To explore this potential and to understand the complex interactions between…

Materials Science · Physics 2019-04-03 R. Backofen , K. R. Elder , A. Voigt

A continuum theory based on thermodynamics has been developed for modeling diffusional creep of polycrystalline solids. It consists of a coupled problem of vacancy diffusion and mechanics where the vacancy generation/absorption at grain…

Materials Science · Physics 2019-11-18 M. Magri , G. Lemoine , L. Adam , J. Segurado

Interface migration in microstructures is mediated by the motion of line defects with step and dislocation character, i.e., disconnections. We propose a continuum model for arbitrarily-curved grain boundaries or heterophase interfaces…

Materials Science · Physics 2023-05-15 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

Grain boundaries can exist as different grain boundary phases (also called complexions) with individual atomic structures. The thermodynamics of these defect phases in high-angle grain boundaries were studied mostly with atomistic and phase…

Grain boundary sliding is typically associated with high temperature deformation in engineering alloys. Here, we examine grain boundary sliding at room temperature in oxygen-free high-conductivity copper under quasi-static tensile testing.…

Materials Science · Physics 2026-04-30 Benjamin Poole , David Lunt , Luke Hewitt , Chris Hardie

We apply self consistent field theory to twist grain boundaries of block copolymer melts. The distribution of monomers throughout the grain boundary is obtained as well as the grain boundary free energy per unit area as a function of twist…

Soft Condensed Matter · Physics 2009-10-31 Daniel Duque , Michael Schick

We develop a continuum model for the dynamics of grain boundaries in three dimensions that incorporates the motion and reaction of the constituent dislocations. The continuum model is based on a simple representation of densities of curved…

Materials Science · Physics 2021-11-08 Xiaoxue Qin , Luchan Zhang , Yang Xiang

The melting of elemental solids is modelled as a dislocation-mediated transition on a lattice. Statistical mechanics of linear defects is used to obtain a new relation between melting temperature, crystal structure, atomic volume, and shear…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston