Journal ArticleDOI
Influence of anisotropic grain boundary properties on the evolution of grain boundary character distribution during grain growth—a 2D level set study
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TLDR
In this paper, the influence of anisotropic grain boundary energy and mobility on microstructure evolution was investigated using a 2D level set model of polycrystal microstructures, and it was shown that grain growth alone does not seem to promote any significantly increased overall presence of CSL boundaries.Abstract:
The present study elaborates on a 2D level set model of polycrystal microstructures that was recently established by adding the influence of anisotropic grain boundary energy and mobility on microstructure evolution. The new model is used to trace the evolution of grain boundary character distribution during grain growth. The employed level set formulation conveniently allows the grain boundary characteristics to be quantified in terms of coincidence site lattice (CSL) type per unit of grain boundary length, providing a measure of the distribution of such boundaries. In the model, both the mobility and energy of the grain boundaries are allowed to vary with misorientation. In addition, the influence of initial polycrystal texture is studied by comparing results obtained from a polycrystal with random initial texture against results from a polycrystal that initially has a cube texture. It is shown that the proposed level set formulation can readily incorporate anisotropic grain boundary properties and the simulation results further show that anisotropic grain boundary properties only have a minor influence on the evolution of CSL boundary distribution during grain growth. As anisotropic boundary properties are considered, the most prominent changes in the CSL distributions are an increase of general low-angle Σ1 boundaries as well as a more stable presence of Σ3 boundaries. The observations also hold for the case of an initially cube-textured polycrystal. The presence of this kind of texture has little influence over the evolution of the CSL distribution. Taking into consideration the anisotropy of grain boundary properties, grain growth alone does not seem to be sufficient to promote any significantly increased overall presence of CSL boundaries.read more
Citations
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Fast simulation of grain growth based on Orientated Tessellation Updating Method
TL;DR: The obtained model is very light in terms of computational cost and enables to compute a large number of evolutions within the framework of the proposed statistical upscaling method.
Journal ArticleDOI
Impact of a strong temperature gradient on grain growth in films
TL;DR: In this article , the influence of a strong temperature gradient on grain growth in thin films is investigated, where a modified three-dimensional Potts model algorithm is employed, where the annealing temperature changes with the thickness of the sample taking grain boundary mobility and energy into account.
Journal ArticleDOI
Fast simulation of grain growth based on Orientated Tessellation Updating Method
TL;DR: In this article, the authors developed a macroscopic model of grain growth whose state variables contain for each material point the statistical descriptors of the microstructure (e.g., disorientation, grain size and shape distributions).
Proceedings ArticleDOI
Fast mesoscopic simulation of grain growth and macroscopic modeling
TL;DR: In this paper, an upscaling strategy is proposed to develop a macroscopic model of grain growth whose state variables contain for each material point the statistical descriptors of the microstructure (e.g., disorientation, grain size and shape distributions).
Data for "The Role of Surface Tension and Mobility Model in Simulations of Grain Growth"
TL;DR: In this paper, the effects of surface tension and mobility models in simulations of grain growth using threshold dynamics algorithms were explored, while naturally capturing the Herring angle condition at junctions and automatically handling topological transitions.
References
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Journal ArticleDOI
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.
Book
Recrystallization and Related Annealing Phenomena
F.J. Humphreys,M. Hatherly +1 more
TL;DR: In this paper, the authors discuss the extent to which we are able to formulate quantitative, physically-based models which can be applied to metal-forming processes, and the subjects treated in this book are all active research areas and form a major part of at least four regular international conference series.
Algorithms Based on Hamilton-Jacobi Formulations
Stanley Osher,James A. Sethian +1 more
TL;DR: New numerical algorithms, called PSC algorithms, are devised for following fronts propagating with curvature-dependent speed, which approximate Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws.
Journal ArticleDOI
Dislocation Models of Crystal Grain Boundaries
W. T. Read,William Shockley +1 more
TL;DR: In this article, the authors investigated the energies and motions of grain boundaries between two crystallites using the dislocation model of grain boundary and provided a quantitative expression for energy per unit area for small angles.
Journal ArticleDOI
The structure of high-angle grain boundaries
TL;DR: In this paper, a superimposed dislocation network is proposed for the cubic system, which is a natural extension of previous dislocation models and models based on coincidence relationships, and explains many of the observed properties of grain boundaries.