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Grain growth in polycrystals is traditionally considered a capillarity-driven process, where grain boundaries (GBs) migrate toward their centers of curvature (i.e., mean curvature flow) with a velocity proportional to the local curvature…

材料科学 · 物理学 2025-09-12 Caihao Qiu , David J. Srolovitz , Gregory S. Rohrer , Jian Han , Marco Salvalaglio

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…

材料科学 · 物理学 2023-05-15 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

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…

材料科学 · 物理学 2026-01-06 Jianfeng Hu

High energy x-ray diffraction microscopy was used to image the microstructure of $\alpha$-Fe before and after a 600 $^\circ$C anneal. These data were used to determine the areas, curvatures, energies, and velocities of approximately 40,000…

We consider the motion by curvature of a network of smooth curves with multiple junctions in the plane, that is, the geometric gradient flow associated to the length functional. Such a flow represents the evolution of a two--dimensional…

偏微分方程分析 · 数学 2007-05-23 Carlo Mantegazza , Matteo Novaga , Vincenzo Maria Tortorelli

Microstructural evolution in structural materials is known to occur in response to mechanical loading and can often accommodate substantial plastic deformation through the coupled motion of grain boundaries (GBs). This can produce desirable…

介观与纳米尺度物理 · 物理学 2025-06-06 Daniel Bugas , Brandon Runnels

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…

材料科学 · 物理学 2023-09-19 Jaekwang Kim , Nikhil Chandra Admal

Grain growth (GG), driven by grain boundary (GB) migration, is a fundamental mechanism of microstructural evolution in polycrystalline materials. GB migration is frequently accompanied by a relative shear displacement of grains meeting at…

材料科学 · 物理学 2026-03-13 Caihao Qiu , David J. Srolovitz , Gregory S. Rohrer , Jian Han , Marco Salvalaglio

We study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall boundary condition, the probability densities and spectra…

量子物理 · 物理学 2015-12-11 Long Du , Yong-Long Wang , Guo-Hua Liang , Guang-Zhen Kang , Xiao-Jun Liu , Hong-Shi Zong

Coarsening kinetics is usually described using a linear gradient approximation for the underlying interface migration (IM) rates, wherein the migration fluxes at the interfaces vary linearly with the driving force. Recent experimental…

材料科学 · 物理学 2007-05-23 M. Upmanyu , P. A. Martin , A. D. Rollett

A two-layer quasi-geostrophic flow is quite insulated from the surrounding fluid, while the layers interact each other by means of the modulation of the interface between them and of the turbulence affecting the layers in the proximity of…

大气与海洋物理 · 物理学 2017-05-30 Fulvio Crisciani , Renzo Mosetti , Roberto Purini

The topological transitions that occur to the grain boundary network during grain growth in a material with uniform grain boundary energies are believed to be known. The same is not true for more realistic materials, since more general…

材料科学 · 物理学 2021-10-29 Erdem Eren , Jeremy K. Mason

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…

材料科学 · 物理学 2019-05-13 Y. Mishin

In Part I of this work, we proposed a stochastic model describing solute interactions with stationary and moving grain boundaries (GBs) and applied it to planar GBs in 1D systems. The model reproduces nonlinear GB dynamics, solute…

材料科学 · 物理学 2023-11-10 Y. Mishin

In recent years, studies have demonstrated that the grain boundary (GB) migration is a three-dimensional (3D) process, characterized by a 3D mobility tensor. In this study, we develop a 3D interface random walk theory to extract the GB…

材料科学 · 物理学 2025-02-26 Xinyuan Song , Chuang Deng

Faceted grain boundaries, where grain boundary area is increased in the name of producing low-energy segments, can exhibit new and unexpected migration trends. For example, several faceted $\Sigma$3 boundaries have demonstrated anti-thermal…

材料科学 · 物理学 2020-06-24 Megan J. McCarthy , Timothy J. Rupert

In the theoretical development of normal grain growth, the roles of "drift" (curvature effect) and "diffusion" (stochastic effect) have been an open question for many years. By coupling contributions of microstructure entropy and grain…

材料科学 · 物理学 2021-12-14 Yue Li , Zhijun Wang , Junjie Li , Jincheng Wang

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…

材料科学 · 物理学 2019-07-29 Tiago Salvador , Selim Esedoglu

Controversy exists regarding whether grain morphology reduces or enhances the drag of a single grain in creeping flows; further complication occurs when orientation dependence for aspherical grains comes into play. To quantify influences of…

流体动力学 · 物理学 2024-11-14 Si Suo , Deheng Wei , Budi Zhao , Chongpu Zhai , Yixiang Gan

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…

材料科学 · 物理学 2014-12-30 Anup Basak , Anurag Gupta
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