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We consider a discrete model of planar elasticity where the particles, in the reference configuration, sit on a regular triangular lattice and interact through nearest neighbor pairwise potentials, with bonds modeled as linearized elastic…

In the present work, we propose a novel model coupling phase-field, dislocation density based plasticity and damage. The dislocation density governing equations are constructed based on evolutions of mobile and immobile dislocations.…

Materials Science · Physics 2021-12-28 Ronghai Wu , Yufan Zhang

Grain boundaries (GBs) and interfaces in polycrystalline materials are significant research subjects in the field of materials science. Despite a more than 50-year history of their study, there are still many open questions. The main…

Materials Science · Physics 2021-06-28 Arslan B. Mazitov , Artem R. Oganov

Dopants can significantly affect the properties of oxide ceramics through their impact on the property-determined microstructure characteristics such as grain boundary (GB) segregation, space charge layer formation in the GB vicinity, and…

We use the phase field crystal model to study nucleation of edge dislocations in two dimensions under an applied stress field. A dislocation dipole nucleates under the applied stress, consistent with Burgers vector conservation. The phase…

Materials Science · Physics 2021-01-20 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta , Jorge Viñals

We study segregation and stratification of mixtures of grains differing in size, shape and material properties poured in two-dimensional silos using a microscopic lattice model for surface flows of grains. The model incorporates the…

Statistical Mechanics · Physics 2009-10-31 Hernan A. Makse , Hans J. Herrmann

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

Reliably predicting bit-error rates in realistic heat-assisted magnetic recording simulations is a challenging task. Integrating the Landau-Lifshitz-Bloch (LLB) equation can reduce the computational effort to determine the magnetization…

Materials Science · Physics 2017-01-04 Christoph Vogler , Claas Abert , Florian Bruckner , Dieter Suess , Dirk Praetorius

Grain-boundary (GB) local stress is central to the initiation and evolution of long-term creep damage in polycrystalline superalloys. Owing to the high-dimensional nonlinear relationships between the GB stress response and multiple…

Materials Science · Physics 2026-05-18 Weichen Kong , Yanwei Dai , Yinglin Zhang , Yinghua Liu

Grain boundary (GB) migration stands as a linchpin process governing microstructural evolution in polycrystalline materials. Over the past decade, the concept of shear coupling, quantified through the shear coupling factor, has transformed…

Materials Science · Physics 2024-08-19 Xinyuan Song , Liang Yang , Chuang Deng

Static and dynamic aspects of the fission process of $^{226}$Th are analyzed in a self-consistent framework based on relativistic energy density functionals. Constrained relativistic mean-field (RMF) calculations in the collective space of…

Nuclear Theory · Physics 2017-08-30 H. Tao , J. Zhao , Z. P. Li , T. Niksic , D. Vretenar

Solute segregation at grain boundaries (GBs) of polycrystals strongly impacts the mechanical properties of metals including strength, fracture, embrittlement, and corrosion. However, the complexity of GB structures and the large chemical…

Materials Science · Physics 2024-12-24 Hao Wu , Xin Li , Wang Gao , Qing Jiang

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

Dislocation-assisted phase separation processes in binary systems subjected to irradiation effect are studied analytically and numerically. Irradiation is described by athermal atomic mixing in the form of ballistic flux with spatially…

Statistical Mechanics · Physics 2015-06-15 D. O. Kharchenko , O. M. Schokotova , A. I. Bashtova , I. O. Lysenko

A new formulation for the equation of motion of interacting dislocations is derived. From this solution it is shown that additional coupling forces, of kinetic and inertial origin, should be considered in Dislocation Dynamics (DD)…

Materials Science · Physics 2010-09-01 L. Pillon , C. Denoual

Grain boundary (GB) kinetics is important for many applications in 2d materials and metal thin films. To study how the substrate shape affects GB mobility and kinetics, we develop a kinetic Monte Carlo (kMC) simulation method and an…

Materials Science · Physics 2022-01-24 Kongtao Chen

A self-consistent and universal description of friction and diffusion for Brownian particles (grains) in different systems, as a gas with Boltzmann collisions, dusty plasma with ion absorption by grains, and for active particles (e.g.,…

Statistical Mechanics · Physics 2009-11-10 S. A. Trigger , G. J. F. van Heijst , P. P. J. M. Schram

Grain boundary (GB) mobility has been conventionally computed as a single value; however, a recent study has suggested that GB mobility should be expressed as a tensor. In this work, by using atomistic simulations, the concept of GB…

Materials Science · Physics 2022-12-23 Xinyuan Song , Liang Yang , Chuang Deng

The present work investigates the role of grain boundary (GB) on the sources of size effects. Up to now, several studies have been conducted to address the role of GBs in size effects from the atomistic point of view. However, a study which…

Materials Science · Physics 2016-09-20 George Z. Voyiadjis , Mohammadreza Yaghoobi

We introduce a method to visualize dislocations along grain boundaries at the atomic level. It uses an atomic-level Nye tensor, representing the dislocation density. To calculate the Nye tensor at grain boundaries, we extend the…

Materials Science · Physics 2022-02-01 I. S. Winter , T. Oppelstrup , T. Frolov , R. E. Rudd
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