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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

Grain growth in polycrystals is often simulated using orientation-field models, which employ a field to represent the local orientation of the crystal lattice. These models can be challenging to represent a realistic misorientation…

Materials Science · Physics 2026-04-09 Philip Staublin , Yuri Mishin , Peter W. Voorhees , James A. Warren

Four different finite element level-set (FE-LS) formulations are compared for the modeling of grain growth in the context of polycrystalline structures and, moreover, two of them are presented for the first time using anisotropic grain…

Materials Science · Physics 2021-08-04 Brayan Murgas , Sebastian Florez , Nathalie Bozzolo , Julien Fausty , Marc Bernacki

The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes the thermodynamic state and an orientation field that…

Materials Science · Physics 2015-06-05 Hervé Henry , Jesper Mellenthin , Mathis Plapp

Two finite element level-set (FE-LS) formulations are compared for the modeling of grain growth of 316L stainless steel in terms of grain size, mean values and histograms. Two kinds of microstructures are considered, some are generated…

Materials Science · Physics 2022-04-06 Brayan Murgas , Baptiste Flipon , Nathalie Bozzolo , Marc Bernacki

A continuum grain boundary model is developed that uses experimentally measured grain boundary energy data as a function of misorientation to simulate idealized grain boundary evolution in a 1-D grain array. The model uses a continuum…

Materials Science · Physics 2024-01-29 Syed Ansari , Amit Acharya , Alankar Alankar

A thermodynamically consistent phase-field model is developed to study the non-isothermal grain coalescence during the sintering process, with a potential application to the simulation in unconventional sintering techniques, e.g. spark…

Materials Science · Physics 2018-06-08 Yangyiwei Yang , Min Yi , Bai-Xiang Xu , Long-Qing Chen

We propose a two dimensional frame-invariant phase field model of grain impingement and coarsening. One dimensional analytical solutions for a stable grain boundary in a bicrystal are obtained, and equilibrium energies are computed. We are…

Materials Science · Physics 2007-05-23 Ryo Kobayashi , James A. Warren , W. Craig Carter

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…

In order to control the grain structure of multi-crystalline (mc) silicon during directional solidification, the development process of grain boundaries (GBs) with respect to the temperature gradient should be understood. A phase-field…

Materials Science · Physics 2022-06-13 Chuanqi Zhu , Yuichiro Koizumi , Chunwen Guo

The granular microstructure of metals evolves significantly during thermomechanical processing through viscoplastic deformation and recrystallization. Microstructural features such as grain boundaries (GBs), subgrains, localized deformation…

Materials Science · Physics 2025-06-11 Izzet Tarik Tandogan , Michael Budnitzki , Stefan Sandfeld

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

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

A new phase field dislocation dynamics formulation is presented, which couples micromechanical solvers and the time-dependent Ginzburg-Landau equation. Grain boundary (GB)-dislocation interactions are studied by describing GBs as…

Materials Science · Physics 2026-02-20 Brayan Murgas , Avanish Mishra , Nithin Mathew , Abigail Hunter

An original thermodynamically consistent large strains-based multiphase phase-field (PF) approach of Ginzburg-Landau type is developed for studying the grain boundary (GB)-induced martensitic transformations (MTs) in polycrystalline…

Materials Science · Physics 2022-06-24 Anup Basak

A multi-phase field model is employed to study the microstructural evolution of an alloy undergoing liquid dealloying. The model proposed extends upon the original approach of Geslin et al. to consider dealloying in the presence of grain…

Materials Science · Physics 2023-08-07 Nathan Bieberdorf , Mark D. Asta , Laurent Capolungo

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

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…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Daniel Bugas , Brandon Runnels

Grain growth in polycrystals is one of the principal mechanisms that take place during heat treatment of metallic components. This work treats an aspect of the anisotropic grain growth problem. By applying the first principles of…

Computational Engineering, Finance, and Science · Computer Science 2020-06-30 J. Fausty , B. Murgas , S. Florez , N. Bozzolo , M. Bernacki

The accumulation of helium bubbles at grain boundaries (GBs) critically degrades the mechanical integrity of structural materials in nuclear reactors. While GBs act as sinks for radiation-induced defects, their inherent structural…

Materials Science · Physics 2025-09-10 Yang Zhang , Peter Hatton , Blas P. Uberuaga , Jason R. Trelewicz
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