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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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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Journal ArticleDOI
Elastic wave propagation study in copper poly-grain sample using FEM
TL;DR: In this article, the Voronoi-based micro-structure modeling through elastic wave propagation in a poly-crystalline copper using finite element method is presented, where the micro-structural parameters studied here are; the grain size and the grain orientation.
Journal ArticleDOI
Metal powder bed fusion process chains: an overview of modelling techniques
Shukri Afazov,Adam Roberts,Louise Wright,Prashant Jadhav,Adam Holloway,Hector Basoalto,Katy Milne,Nick Brierley +7 more
TL;DR: An overview of the various modelling techniques that can be utilised in the development of a digital twin for MPBF process chains, including methods for data transfer between physical and digital entities and uncertainty evaluation, is provided in this article.
Journal ArticleDOI
Energetic upscaling strategy for grain growth. II: Probabilistic macroscopic model identified by Bayesian techniques
TL;DR: In this article, the second part of an energetic upscaling strategy to simulate grain growth at the macroscopic scale with state variables that contain statistical descriptors of the grain structure is described.
Journal ArticleDOI
Phase field modeling of grain structure evolution during directional solidification of multi-crystalline silicon sheet
Hsin-Chia Lin,Chung-Wen Lan +1 more
TL;DR: In this article, the evolution of grain structures and grain boundaries (GBs), especially the coincident site lattice GBs, during directional solidification of multi-crystalline silicon sheet are simulated by using a phase field model for the first time.
Journal ArticleDOI
Microstructure and Property Modifications of Cold Rolled IF Steel by Local Laser Annealing
TL;DR: In this paper, a 2D level set model of the microstructure development is established as a tool to further optimize the method and to investigate, for example, the development of grain size variations due to the strong and transient thermal gradient.
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.