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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 boundaries affect properties of polycrystalline materials. The influence of a boundary is largely determined by its energy. Grain boundary energy is often portrayed as a function of macroscopic boundary parameters representing grain…

Materials Science · Physics 2025-01-07 Adam Morawiec

Abnormal grain growth (AGG) influences the properties of polycrystalline materials; however, the underlying mechanisms, particularly the role of solute segregation at the grain boundary (GB), are difficult to quantify precisely. This study…

Materials Science · Physics 2025-12-29 Albert Linda , Rajdip Mukherjee , Somnath Bhowmick

We study the motion of a grain boundary that separates two sets of mutually perpendicular rolls in Rayleigh-B\'enard convection above onset. The problem is treated either analytically from the corresponding amplitude equations, or…

Soft Condensed Matter · Physics 2009-11-07 Denis Boyer , Jorge Viñals

Structural transformations at interfaces are of profound fundamental interest as complex examples of phase transitions in low-dimensional systems. Despite decades of extensive research, no compelling evidence exists for structural…

Materials Science · Physics 2013-05-28 Timofey Frolov , David L. Olmsted , Mark Asta , Yuri Mishin

Computing the grain boundary (GB) counterparts to bulk phase diagrams represents an emerging research direction. Using a classical embrittlement model system Ga-doped Al alloy, this study demonstrates the feasibility of computing…

Materials Science · Physics 2022-01-20 Chongze Hu , Yanwen Li , Zhiyang Yu , Jian Luo

Solute segregation along grain boundaries (GBs) profoundly affects their thermodynamic and kinetic behaviors in polycrystalline materials. Recently, the spectral approach has emerged as a powerful tool to predict GB segregation. However,…

Materials Science · Physics 2025-05-27 Zuoyong Zhang , Chuang Deng

Grain boundary (GB) migration plays a crucial role in the thermal and mechanical responses of polycrystalline materials, particularly in ultrafine-grained and nano-grained materials exhibiting grain size-dependent properties. This study…

Materials Science · Physics 2024-04-08 Liang Yang , Xinyuan Song , Tingting Yu , Dahai Liu , Chuang Deng

Grain boundaries (GB) profoundly influence the electrical properties of polycrystalline ionic solids. Yet, precise control of their transport characteristics has remained elusive, thereby limiting the performance of solid-state…

This paper investigates the statistical behavior of two-dimensional grain microstructures during grain growth under anisotropic grain boundary characters. We employ the threshold-dynamics method, which allows for unparalleled computational…

Materials Science · Physics 2023-09-19 Jaekwang Kim , Nikhil Chandra Admal

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

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

We derive a theory that describes homogeneous nucleation of grain boundary (GB) phases. Our analysis takes account of the energy resulting from the GB phase junction, the line defect separating two different GB structures, which is…

Materials Science · Physics 2022-02-02 Ian S. Winter , Robert E. Rudd , Tomas Oppelstrup , Timofey Frolov

In this work, we investigate the shape evolution of rotated, embedded, initially cylindrical grains (with [001] cylinder axis) in Ni under an applied synthetic driving force via molecular dynamics simulations and a continuum,…

Materials Science · Physics 2024-08-28 Anqi Qiu , Caihao Qiu , Ian Chesser , Jian Han , David Srolovitz , Elizabeth Holm

The grain boundary (GB) mobility relates GB velocity to the thermodynamic driving forces and is central to our understanding of microstructure evolution in polycrystals. Recent molecular dynamics (MD) and experimental studies have shown…

Materials Science · Physics 2020-11-18 Kongtao Chen , Jian Han , David J. Srolovitz

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

We propose a model of a polycrystalline alloy combining the Potts model for grain orientations with a lattice-gas model for solute thermodynamics and diffusion. The alloy evolution with this model is implemented by kinetic Monte Carlo…

Materials Science · Physics 2026-02-12 Omar Hussein , Yuri Mishin

In this work the coupled motion of two different phases of {\Sigma}5(210)[001] grain boundaries were investigated by molecular dynamics simulations of fcc Cu. The effect of interfacial structural phase transitions is shown to have a…

Materials Science · Physics 2015-06-19 Timofey Frolov

The study of grain boundary phase transitions is an emerging field until recently dominated by experiments. The major bottleneck in exploration of this phenomenon with atomistic modeling has been the lack of a robust computational tool that…

Materials Science · Physics 2018-02-21 Qiang Zhu , Amit Samanta , Bingxi Li , Robert E. Rudd , Timofey Frolov

The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the…

Analysis of PDEs · Mathematics 2022-07-08 Katrine Golubkov , Amy Novick-Cohen , Yotam Vaknin