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We prove a local existence result for a PDE system that describes curvature motion of networks with a dynamic boundary condition known as triple junction drag. This model arises in the study of grain boundary evolution in polycrystalline…

Analysis of PDEs · Mathematics 2025-09-09 Yuchuan Yang , Selim Esedoglu

The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs), along which three GBs meet. The evolution of such microstructures may be driven by surface tension (capillarity),…

Computational Physics · Physics 2019-08-01 Chaozhen Wei , Luchan Zhang , Jian Han , David J. Srolovitz , Yang Xiang

Most technologically useful materials are polycrystalline microstructures composed of a myriad of small monocrystalline grains separated by grain boundaries. The energetics and connectivities of grain boundaries play a crucial role in…

Analysis of PDEs · Mathematics 2020-08-20 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

A novel continuum theory of incoherent interfaces with triple junctions is applied to study three-dimensional coupled grain boundary (GB) motion in polycrystalline materials. The kinetic relations for grain dynamics, relative sliding and…

Materials Science · Physics 2017-02-08 Anup Basak , Anurag Gupta

Grain rotation and grain boundary (GB) sliding are two important mechanisms for grain coarsening and plastic deformation in nanocrystalline materials. They are in general coupled with GB migration and the resulting dynamics, driven by…

Materials Science · Physics 2014-12-30 Anup Basak , Anurag Gupta

Rate of grain growth, which aides in achieving desired properties in polycrystalline materials, is conventionally estimated by measuring the size of grains and tracking its change in micrographs reflecting the temporal evolution. Techniques…

Materials Science · Physics 2024-06-17 Manoj Prabakar , P G Kubendran Amos

Grain Boundaries (GB) whose energy is larger than twice the energy of the solid/liquid interface exhibit the premelting phenomenon, for which an atomically thin liquid layer develops at temperatures slightly below the bulk melting…

Computational Physics · Physics 2021-12-01 M. Torabi Rad , G. Boussinot , M. Apel

Triple junctions, line defects formed by the intersection of different grain boundaries, exist within all polycrystalline materials. While it has long been recognized that triple junctions could play an important role in microstructural…

Materials Science · Physics 2026-05-21 Ian S Winter , R. Daniel Moore , R. E. Rudd , T. Oppelstrup , T. Frolov

Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play an essential role in defining the materials properties across…

Analysis of PDEs · Mathematics 2020-08-31 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

A discrete model and the regular solution approximation are applied to describe the effect of grain boundary motion on grain boundary phase transformations in a binary alloy. The model predicts all thermodynamic properties of the grain…

Materials Science · Physics 2019-05-13 Y. Mishin

Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a crucial role in determining the grain structure and defining the…

Materials Science · Physics 2021-07-07 Katayun Barmak , Anastasia Dunca , Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

We propose a computational procedure for creating a stable equilibrium triple junction (TJ) with controlled grain misorientations. We apply this procedure to construct a TJ between a {\Sigma}5(210) grain boundary (GB) and two general…

Materials Science · Physics 2013-05-03 Timofey Frolov , Yuri Mishin

Transformations accompanying shape-instability govern the morphological configuration and distribution of the phases in a microstructure. Owing to the influence of the microstructure on the properties of a material, the stability of…

Computational Engineering, Finance, and Science · Computer Science 2020-06-17 Tobias Mittnacht , Prince Gideon Kubendran Amos , Daniel Schneider , Britta Nestler

The wear-driven structural evolution of nanocrystalline Cu was simulated with molecular dynamics under constant normal loads, followed by a quantitative analysis. While the microstructure far away from the sliding contact remains unchanged,…

Materials Science · Physics 2017-09-06 Zhiliang Pan , Timothy J. Rupert

Grain boundary networks and their evolution are strongly influenced by triple junctions. The defect nature of these line defects significantly affects the properties of the network, but they have not been fully characterized to date. Here,…

Materials Science · Physics 2026-02-05 Tobias Brink , Saba Saood , Peter Schweizer , Jörg Neugebauer , Gerhard Dehm

We explore the effects of surface tension and mobility models in simulations of grain growth using threshold dynamics algorithms that allow performing large scale simulations, while naturally capturing the Herring angle condition at…

Materials Science · Physics 2019-07-29 Tiago Salvador , Selim Esedoglu

The thermodynamic theory of dislocation/grain boundary interaction, including dislocation pile-up against, absorption by, and transfer through the grain boundary, is developed for nonuniform plastic deformations in polycrystals. The case…

Materials Science · Physics 2022-03-14 Yinguang Piao , Khanh Chau Le

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

Conventional grain growth is rate-limited by the mobility of grain boundary. To describe similar phenomena limited by the mobility of other grain junctions, we have developed a general theory allowing for size-dependent mobility and its…

Materials Science · Physics 2017-08-16 Yanhao Dong , I-Wei Chen

Grain boundary (GB) migration is a pivotal process that significantly impacts the development of microstructures, thereby influencing the practical performance of polycrystalline materials. Recent advances in 3D experimental techniques have…

Materials Science · Physics 2026-01-06 Jianfeng Hu
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