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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

This study proposes a new analytical model for grain boundary pinning by second phase particles in two-dimensional polycrystals. This approach not only considers how particles impede grain growth, but also elucidates their role in…

Materials Science · Physics 2024-04-23 Madeleine Bignon , Marc Bernacki

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

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 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

We focus our attention on Monte Carlo simulations of crystallization, which is one of the most important processes occurring in nature and technology of materials. Special attention is paid to the crystallization shrinkage and its…

Materials Science · Physics 2013-03-01 Bogdan Ranguelov , Alexander Karamanov

The ability to use external magnetic fields to influence the microstructure in polycrystalline materials has potential applications in microstructural engineering. To explore this potential and to understand the complex interactions between…

Materials Science · Physics 2019-04-03 R. Backofen , K. R. Elder , A. Voigt

A formula of grain growth rate, based on a nonlinear capillarity-driven relation, is derived to predict and interpret realistic growth processes in polycrystalline systems. The derived formula reveals how the growth and stagnation of grains…

Materials Science · Physics 2017-12-12 Jianfeng Hu , Xianhao Wang

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 study, using simulations the dynamical properties of complex ferromagnetic granular materials. The system of grains is modeled by a disordered two-dimensional lattice in which the grains are embedded, while the magnitude and direction of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Ran Itay , Shlomo Havlin , Richard Berkovits

Many two-phase materials suffer from grain-growth due to the energy cost which is associated with the interface that separates both phases. While our understanding of the driving forces and the dynamics of grain growth in different…

Soft Condensed Matter · Physics 2019-07-24 Anniina Salonen , Cyprien Gay , Armando Maestro , Wiebke Drenckhan , Emmanuelle Rio

This study proposes a new full-field approach for modeling grain boundary pinning by second phase particles in two-dimensional polycrystals. These particles are of great importance during thermomechanical treatments, as they produce…

Computational Engineering, Finance, and Science · Computer Science 2025-01-22 Sebastian Florez , Marc Bernacki

As a smaller grain, which is attached on larger one, is growing, it pushes also the larger one and other grains in its surrounding. In a simulation of similar system, repulsive force such as contact force based on linear spring-dashpot…

Soft Condensed Matter · Physics 2015-10-02 Acep Purqon , Sparisoma Viridi

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

For grain growth to proceed effectively and lead to planet formation a number of barriers to growth must be overcome. One such barrier, relevant for compact grains in the inner regions of the disc, is the `bouncing barrier' in which large…

Earth and Planetary Astrophysics · Physics 2018-05-02 Richard A. Booth , Farzana Meru , Man Hoi Lee , Cathie J. Clarke

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…

A hybrid Monte Carlo (HMC) approach is employed to quantify the influence of inelastic deformation on the microstructural evolution of polycrystalline materials. This approach couples a time explicit material point method (MPM) for…

Materials Science · Physics 2015-05-19 Liangzhe Zhang , Remi Dingreville , Timothy Bartel , Mark T. Lusk

We study the dynamics and morphology of grain growth with anisotropic energy and mobility of grain boundaries using a generalized phase field model. In contrast to previous studies, both inclination and misorientation of the boundaries are…

Materials Science · Physics 2009-10-31 A. Kazaryan , Y. Wang , S. A. Dregia , Bruce R. Patton

We use an auxiliary-field Monte Carlo (AFMC) method to calculate thermodynamic properties (spin susceptibility and heat capacity) of ultra-small metallic grains in the presence of pairing correlations. This method allows us to study the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Alhassid , L. Fang , S. Schmidt

Two-component submonolayer growth on triangular lattice is qualitatively studied by kinetic Monte Carlo techniques. The hopping barrier governing surface diffusion of the atoms is estimated with an improved formula and using realistic pair…

Soft Condensed Matter · Physics 2007-07-06 Robert Deak , Zoltan Neda , Peter B. Barna
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