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Related papers: Energy of low angle grain boundaries based on cont…

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According to recent experimental and numerical investigations if the characteristic size of a specimen is in the submicron size regime several new interesting phenomena emerge during the deformation of the samples. Since in such a systems…

Materials Science · Physics 2015-06-19 Istvan Groma , Zoltan Vandrus , Peter Dusan Ispanovity

We investigate the diffusion of a grain boundary in a crystalline material. We consider in particular the case of a regularly spaced low-angle grain boundary schematized as an array of dislocations that interact with each other through…

Statistical Mechanics · Physics 2007-12-22 F. Leoni , S. Zapperi

Grain boundary energies in different elements are correlated. The proportional scaling constants relating the energies of crystallography-equivalent boundaries in any two f.c.c. elements are nearly constant, with the notable exception of…

Materials Science · Physics 2023-02-14 Xiaopu Zhang , John J. Boland

Many material properties can be traced back to properties of their grain boundaries. Grain boundary energy (GBE), as a result, is a key quantity of interest in the analysis and modeling of microstructure. A standard method for calculating…

Materials Science · Physics 2024-05-20 Bruno Dobrovolski , C. Braxton Owens , Gus L. W. Hart , Eric R. Homer , Brandon Runnels

Grain boundaries dramatically affect the properties of polycrystalline materials because of differences in atomic configuration. To fully understand the relationship between grain boundaries and materials properties, systematic studies of…

Materials Science · Physics 2021-01-19 Shin Kiyohara , Tomohiro Miyata , Teruyasu Mizoguchi

The dislocation core is an important region as it controls many important properties of materials. Elasticity breaks down in the core and the stress, force, and energy diverge at the dislocation line. We consider three commonest methods…

Materials Science · Physics 2020-11-11 Kamyar M Davoudi

Incomplete stacking dislocations are predicted to form at edges of the shorter upper layer in two-dimensional hexagonal bilayers upon stretching the longer bottom layer. A concept of the edge Burgers vector is introduced to describe such…

Mesoscale and Nanoscale Physics · Physics 2017-08-07 Irina V. Lebedeva , Andrey A. Knizhnik , Andrey M. Popov

Grain growth in polycrystals is often simulated using orientation-field models, which employ a field to represent the local orientation of the crystal lattice. These models can be challenging to represent a realistic misorientation…

Materials Science · Physics 2026-04-09 Philip Staublin , Yuri Mishin , Peter W. Voorhees , James A. Warren

Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying microstructure of line defects (dislocations or…

Materials Science · Physics 2024-11-26 Luchan Zhang , Xiaoxue Qin , Yang Xiang

We simulate the dislocation core structure in bcc iron using the modified Molecular Static method. A feature of this method is the application of an iterative procedure in which the atomic structure in the vicinity of the defect and the…

Materials Science · Physics 2021-01-05 A. A. Gusev , A. V. Nazarov

The success of grain boundary (GB) plane orientation fundamental zone (FZ) has connected GB structures across multiple crystallographic characters with their properties in a unique insight, but quantitative understandings of the…

Materials Science · Physics 2024-03-13 Wei Wan

A threshold dynamics model of grain growth that accounts for the anisotropy in the grain boundary energy has been used to simulate experimentally observed grain growth of polycrystalline Ni. The simulation reproduces several aspects of the…

Dislocation and grain boundary melting are studied in three dimensions using the Phase Field Crystal method. Isolated dislocations are found to melt radially outward from their core, as the localized excess elastic energy drives a power law…

Materials Science · Physics 2009-11-13 Joel Berry , K. R. Elder , Martin Grant

Segregation of impurities to grain boundaries plays an important role in both the stability and macroscopic behavior of polycrystalline materials. The research objective in this work is to better characterize the energetics and length…

Materials Science · Physics 2013-09-02 N. R. Rhodes , M. A. Tschopp , K. N. Solanki

It has recently become popular to analyze the behavior of excess dislocations in plastic deformation under the assumption that such dislocations are arranged into walls with periodic dislocation spacing along the wall direction. This…

Materials Science · Physics 2015-05-30 Michael Zaiser , Istvan Groma

In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry for the crystal in exam, so that the mathematical formulation…

Mathematical Physics · Physics 2008-08-19 Adriana Garroni , Giovanni Leoni , Marcello Ponsiglione

It is well known that grain boundaries (GBs) have a strong influence on mechanical properties of polycrystalline materials. Not as well-known is how different GBs interact with dislocations to influence dislocation movement. This work…

Materials Science · Physics 2020-05-06 Devin W Adams , David T Fullwood , Robert H Wagoner , Eric R Homer

Grain boundary segregation controls properties of polycrystalline materials such as their susceptibility to intergranular cracking. It is of interest to engineer alloy chemistry to enhance grain boundary cohesion to prevent intergranular…

Materials Science · Physics 2025-02-04 Nutth Tuchinda , Gregory B. Olson , Christopher A. Schuh

In this paper we analyse the behaviour of a pile-up of vertically periodic walls of edge dislocations at an obstacle, represented by a locked dislocation wall. Starting from a continuum non-local energy $E_\gamma$ modelling the…

Analysis of PDEs · Mathematics 2016-06-07 Adriana Garroni , Patrick van Meurs , Mark Peletier , Lucia Scardia

We propose to incorporate grain boundary (GB) anisotropy in phase-field modeling by extending the standard partial differential equations formulation to include a nonlocal functional of an orientation field. Regardless of the number of…

Materials Science · Physics 2026-02-09 Xiao Han , Axel van de Walle