Three-dimensional Monte-Carlo simulation of grain growth using triangular lattice

Kim, Y.J.; Hwang, Seongpil; Kim, M.H.; Kwun, S.I.; Chae, Soo Won

doi:10.1016/j.msea.2005.07.046

Cited by 32 publications

(14 citation statements)

References 25 publications

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“…where J m is the large-angle grain boundary energy of AZ31; θ ∧ is the orientation difference angle of adjacent grains; J m and θ * are the boundary energy and critical misorientation, respectively, when the grain boundary becomes the largeangle boundary; θ * was set to 15°; μ is the shear modulus; b is the Burgers vector of dislocations; and v is the Poisson ratio. Based on the anisotropy principle, the grain boundary mobility [28] between the adjacent grains was calculated as follows:…”

Section: Initial Microstructurementioning

confidence: 99%

Recrystallization Microstructure Prediction of a Hot‐Rolled AZ31 Magnesium Alloy Sheet by Using the Cellular Automata Method

Chen

Zhao

et al. 2019

Mathematical Problems in Engineering

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A large reduction rolling process was used to obtain complete dynamic recrystallization (DRX) microstructures with fine recrystallization grains. Based on the hyperbolic sinusoidal equation that included an Arrhenius term, a constitutive model of flow stress was established for the unidirectional solidification sheet of AZ31 magnesium alloy. Furthermore, discretized by the cellular automata (CA) method, a real-time nucleation equation coupled flow stress was developed for the numerical simulation of the microstructural evolution during DRX. The stress and strain results of finite element analysis were inducted to CA simulation to bridge the macroscopic rolling process analysis with the microscopic DRX activities. Considering that the nucleation of recrystallization may occur at the grain and R-grain boundary, the DRX processes under different deformation conditions were simulated. The evolution of microstructure, percentages of DRX, and sizes of recrystallization grains were discussed in detail. Results of DRX simulation were compared with those from electron backscatter diffraction analysis, and the simulated microstructure was in good agreement with the actual pattern obtained using experiment analysis. The simulation technique provides a flexible way for predicting the morphological variations of DRX microstructure accompanied with plastic deformation on a hot-rolled sheet.

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Section: Initial Microstructurementioning

confidence: 99%

Recrystallization Microstructure Prediction of a Hot‐Rolled AZ31 Magnesium Alloy Sheet by Using the Cellular Automata Method

Chen

Zhao

et al. 2019

Mathematical Problems in Engineering

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“…The quantities C and D are therefore related by the pixel area a p , or C ¼ a p D. Substituting for C in Eq. (11), setting hð0Þ to some multiple b of the pixel spacing k, and solving for j gives…”

Section: Grain Boundary Curvaturementioning

confidence: 99%

“…Specifically, a kernel is defined such that two voxels separated by less than the kernel radius and belonging to distinct grains contribute to the overall system energy. This effectively spreads the grain boundary over the kernel region, and serves to mitigate the consequences of the discretized interfaces [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Grain boundary energy and curvature in Monte Carlo and cellular automata simulations of grain boundary motion

Mason

2015

Acta Materialia

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“…However, the affordability of higher computational power has recently promoted the extension to the non-trivial 3D case. Three-dimensional aggregates with a relevant number of grains have been successfully addressed using Monte Carlo Potts models 86,87,88,89,90 . A Monte-Carlo grain growth algorithm was used by Sarma et al 91 , who generated an initial microstructure for FE simulations of cold deformation at the mesoscale in a crystal plasticity framework.…”

Section: Computational Simulation Of Grain-growthmentioning

confidence: 99%

Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

Benedetti

Barbe

2013

J. Multiscale Modelling

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A survey of recent contributions on three-dimensional grain-scale mechanical modelling of polycrystalline materials is given in this work. The analysis of material microstructures requires the generation of reliable micro-morphologies and affordable computational meshes as well as the description of the mechanical behavior of the elementary constituents and their interactions. The polycrystalline microstructure is characterized by the topology, morphology and crystallographic orientations of the individual grains and by the grain interfaces and microstructural defects, within the bulk grains and at the inter-granular interfaces. Their analysis has been until recently restricted to twodimensional cases, due to high computational requirements. In the last decade, however, the wider affordability of increased computational capability has promoted the development of fully three-dimensional models. In this work, different aspects involved in the grain-scale analysis of polycrystalline materials are considered. Different techniques for generating artificial micro-structures, ranging from highly idealized to experimentally based high-fidelity representations, are briefly reviewed. Structured and unstructured meshes are discussed. The main strategies for constitutive modelling of individual bulk grains and inter-granular interfaces are introduced. Some attention has also been devoted to three-dimensional multiscale approaches and some established and emerging applications have been discussed.

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Three-dimensional Monte-Carlo simulation of grain growth using triangular lattice

Cited by 32 publications

References 25 publications

Recrystallization Microstructure Prediction of a Hot‐Rolled AZ31 Magnesium Alloy Sheet by Using the Cellular Automata Method

Recrystallization Microstructure Prediction of a Hot‐Rolled AZ31 Magnesium Alloy Sheet by Using the Cellular Automata Method

Grain boundary energy and curvature in Monte Carlo and cellular automata simulations of grain boundary motion

Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

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