Dendrite Growth Model Using Front Tracking Technique with New Growth Algorithm

A steady-state non-equilibrium dendrite growth model was extended for binary alloy assuming non-linear liquidus and solidus. Satisfactory agreement of the model prediction with the experimental data of Ni-0.7at.%B and Ni30Cu70 alloys was achieved. The velocity plateau as experimentally observed in the velocity versus undercooling is quantitatively analyzed in terms of this model. Accordingly, the initiating point (i.e. corresponding to the critical velocity of absolute solutal stability VC*) and the ending point (i.e. corresponding to the velocity of maximal tip radius VRm) of the plateau are characterized.

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A quantitative dendrite growth model and analysis of stability concepts

Metallurgical and Materials Transactions A ◽

10.1007/s11661-006-0227-3 ◽

2004 ◽

Vol 35 (8) ◽

pp. 2471-2485 ◽

Cited By ~ 128

Author(s):

Lazaro Beltran-Sanchez ◽

Doru M. Stefanescu

Keyword(s):

Growth Model ◽

Dendrite Growth ◽

Analysis Of Stability ◽

Stability Concepts ◽

Dendrite Growth Model

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Understanding the formation process of shrinkage pores with a 3D dendrite growth model: from casting to additive manufacturing

Computational Mechanics ◽

10.1007/s00466-021-02086-2 ◽

2021 ◽

Author(s):

Yefeng Yu ◽

Wentao Yan ◽

Feng Lin

Keyword(s):

Additive Manufacturing ◽

Growth Model ◽

Formation Process ◽

Dendrite Growth ◽

Dendrite Growth Model

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

Metals ◽

10.3390/met9010057 ◽

2019 ◽

Vol 9 (1) ◽

pp. 57 ◽

Cited By ~ 1

Author(s):

Zhao Guo ◽

Jianxin Zhou ◽

Yajun Yin ◽

Xu Shen ◽

Xiaoyuan Ji

Keyword(s):

Numerical Simulation ◽

Grain Growth ◽

Growth Model ◽

Solid Fraction ◽

Model Development ◽

Solidification Process ◽

Dendrite Growth ◽

Efficient Computation ◽

Grain Model ◽

Dendrite Growth Model

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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