A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth

Zinovieva, O.; Zinoviev, Aleksandr; Ploshikhin, Vasily; Романова, В. А.; Балохонов, Р. Р.

doi:10.1016/j.commatsci.2015.06.026

Cited by 22 publications

(15 citation statements)

References 30 publications

(59 reference statements)

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“…Use is made of the procedure for generating curvilinear meshes developed in [1] to accurately describe the interfacial geometry. The substrate microstructure is produced with the use of the cellular automata model [5] based on the approach suggested by Rappaz and Gandin [6]. Further details of the model are provided in [1,5].…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…The substrate microstructure is produced with the use of the cellular automata model [5] based on the approach suggested by Rappaz and Gandin [6]. Further details of the model are provided in [1,5]. Model specimens with effective mechanical properties of the substrate were studied, where the grain boundaries were not explicitly introduced (Fig.…”

Section: Statement Of the Problemmentioning

confidence: 99%

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The influence of the mechanical properties of a steel substrate on the macroscopic strength of a coated material

Балохонов¹,

Zinoviev²,

Романова³

et al. 2016

AIP Conference Proceedings

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Abstract. The stress-strain localization and fracture in a steel substrate -porous ceramic coating microstructure subjected to compression -is investigated numerically. The effects of the substrate grain size and coating-substrate interface geometry on the mechanical behavior of the coated material are discussed. The elongation of the microstructure for which the first crack is initiated in the coating (crack initiation strain) is shown to increase exponentially with an increase in the substrate grain size. The location of the first crack in the coating is found to vary with the substrate grain size. The strength properties of the composite material are found to be unaffected by a serrated coating-substrate interface.

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Section: Statement Of the Problemmentioning

confidence: 99%

Section: Statement Of the Problemmentioning

confidence: 99%

The influence of the mechanical properties of a steel substrate on the macroscopic strength of a coated material

Балохонов¹,

Zinoviev²,

Романова³

et al. 2016

AIP Conference Proceedings

Self Cite

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“…In the framework of the approach under consideration, original grain structure of a polycrystalline substrate is simulated. For this purpose, use is made of a 2D cellular automata (CA) finite difference (FD) model based on the approach put forward by Rappaz and Gandin in [2] and implemented for the 2D case in [3]. The simulation of the substrate microstructure assumes grain nucleation and growth in a uniform temperature field.…”

Section: Description Of the Modelmentioning

confidence: 99%

“…For simulating the grain growth, use is made of the Moore neighborhood. Further details of the model are available in [3]. …”

Section: -2mentioning

confidence: 99%

On the numerical simulation of the microstructural evolution induced by laser additive manufacturing of steel products

Zinoviev

Zinovieva

Ploshikhin

et al. 2016

AIP Conference Proceedings

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Laser powder bed fusion additive manufacturing of metals; physics, computational, and materials challenges Applied Physics Reviews 2, 041304 (2015) Abstract. A numerical model is developed to simulate the microstructural evolution during a laser additive manufacturing process. The model is based on original algorithms designed with the use of a modified cellular automata method proposed by Rappaz and Gandin to describe the formation of grain structure during solidification, together with the classical numerical finite difference solution of a heat transfer equation. A double ellipsoid heat source model is employed to calculate the heat input during laser additive manufacturing. The model is validated using experimental data.

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“…From the point of view of the simulation method, the method for dealing with the same problem in the CA models of two scales are interrelated [16,31]. Nevertheless, there is a problem that the CA model of dendritic growth requires sufficiently higher mesh resolution than the CA model of grain growth [32].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Three-Dimensional Mesoscopic Grain Evolution: Model Development, Validation, and Application to Nickel-Based Superalloys

Guo¹,

Zhou²,

Yin³

et al. 2019

Metals

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The mesoscopic grain model is a multiscale model which takes into account both the dendrite growth mechanism and the vast numerical computation of the actual castings. Due to the pursuit of efficient computation, the mesoscopic grain calculation accuracy is lower than that of dendrite growth model. Improving the accuracy of mesoscopic grain model is a problem to be solved urgently. In this study, referring to the calculation method of solid fraction in microscopic dendrite growth model, a cellular automata model of 3D mesoscopic grain evolution for solid fraction calculated quantitatively at the scale of cell is developed. The developed model and algorithm validation for grain growth simulation is made by comparing the numerical results with the benchmark experimental data and the analytical predictions. The results show that the 3D grain envelopes simulated by the developed model and algorithm are coincident with the shape predicted by the analytical model to a certain extent. Then, the developed model is applied to the numerical simulation of solidification process of nickel-based superalloys, including equiaxed and columnar dendritic grain growth. Our results show good agreement with the related literature.

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A solution to the problem of the mesh anisotropy in cellular automata simulations of grain growth

Cited by 22 publications

References 30 publications

The influence of the mechanical properties of a steel substrate on the macroscopic strength of a coated material

The influence of the mechanical properties of a steel substrate on the macroscopic strength of a coated material

On the numerical simulation of the microstructural evolution induced by laser additive manufacturing of steel products

Numerical Simulation of Three-Dimensional Mesoscopic Grain Evolution: Model Development, Validation, and Application to Nickel-Based Superalloys

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