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Related papers: Grain Growth with Size-Dependent or Statistically …

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Grain growth in polycrystals typically stagnates at long times. We identify disconnection climb, limited by vacancy diffusion, as a fundamental microscopic mechanism underlying this behavior. Using a phase-field crystal framework extended…

Materials Science · Physics 2026-01-21 Maik Punke , Abel H. G. Milor , Marco Salvalaglio

Particle coarsening and grain growth take place to minimize the total interfacial energy. The classical mean-field treatments by Lifshitz, Slyozov, [1] Wagner [2] and Hillert [3] predicted cubic growth law under bulk-diffusion controlled…

Materials Science · Physics 2017-08-24 Yanhao Dong , Jian Han

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

Recent grain growth experiments have revealed that the same type of grain boundary can have very different mobilities depending on its local microstructure. In this work, we use molecular dynamics simulations to quantify uncertainty in the…

Materials Science · Physics 2022-11-17 Anqi Qiu , Ian Chesser , Elizabeth Holm

A linear bubble model of grain growth is introduced to study the conditions under which an isolated grain can grow to a size much larger than the surrounding matrix average (abnormal growth). We first consider the case of bubbles of two…

Materials Science · Physics 2007-05-23 W. W. Mullins , Jorge Vinals

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

An open question in studying normal grain growth concerns the asymptotic state to which microstructures converge. In particular, the distribution of grain topologies is unknown. We introduce a thermodynamic-like theory to explain these…

Materials Science · Physics 2020-07-07 Emanuel A. Lazar , Jeremy K. Mason , Robert D. MacPherson , David J. Srolovitz

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

Mean-field models have the ability to predict grain size distribution evolution occurring through thermomechanical solicitations. This article focuses on a comparison of mean-field models under grain growth conditions. Different…

Materials Science · Physics 2023-10-31 Marion Roth , Baptiste Flipon , Nathalie Bozzolo , Marc Bernacki

Grain growth is a ubiquitous and fundamental phenomenon observed in the cellular structures with the grain assembly separated by a network of grain boundaries, including metals and ceramics. However, the underlying mechanism of grain growth…

Materials Science · Physics 2021-02-18 Jianfeng Hu , Xianhao Wang , Junzhan Zhang , Zhijian Shen , Jun Luo , Jian Luo

The size distribution of grains is a fundamental characteristic of polycrystalline solids. In the absence of deformation, the grain-size distribution is controlled by normal grain growth. The canonical model of normal grain growth,…

Materials Science · Physics 2021-02-04 Thomas Breithaupt , Lars N. Hansen , Srikanth Toppaladoddi , Richard F. Katz

We determine the non-equilibrium grain size distribution during the crystallization of a solid in $d$ dimensions at fixed thermodynamic conditions, for the random nucleation and growth model, and in absence of grain coalescence. Two…

Materials Science · Physics 2013-10-25 Kimberly S. Lokovic , Ralf B. Bergmann , Andreas Bill

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

Grain growth experiments on thin metallic films have shown the geometric and topological characteristics of the grain structure to be universal and independent of many experimental conditions. The universal size distribution, however, is…

Materials Science · Physics 2017-11-21 Rainer Backofen , Katayun Barmak , Ken Elder , Axel Voigt

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

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

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

The three-dimensional microstructure of Ni, observed after five annealing intervals, was compared to simulations of grain growth using the threshold dynamics method with the assumption of capillarity as the only driving force. A…

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

We revisit the longstanding question of the onset of sediment transport driven by a turbulent fluid flow via laboratory measurements. We use particle tracking velocimetry to quantify the fluid flow as well as the motion of individual…

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