Numerical modeling of solidification morphologies and segregation patterns in cast dendritic alloys

Nastac, Laurentiu

doi:10.1016/s1359-6454(99)00325-0

Cited by 320 publications

(136 citation statements)

References 19 publications

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“…• Solute diffusion and curvature have been treated as described by Nastac [4], where diffusion in a dilute binary system is given by:…”

Section: The Governing Equationsmentioning

confidence: 99%

“…The CA algorithm was further modified by Nastac [4], Zhu and Hong [5] and Yao et al [6], who incorporated the effects of solute redistribution and dendrite tip capillarity, in order to simulate the concentration field and dendrite morphology on a mesoscopic level. Within this new model, the thermal, solute and capillary effects are all applied to nucleation and growth, to simulate the dendritic solidification microstructures in a much bigger domain.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Simulation of Dendrite Growth during Solidification

Yao¹,

He²,

Wang³

et al. 2006

International Journal of Nonlinear Sciences and Numerical Simulation

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A comprehensive probabilistic model for simulating dendrite morphology and investigating dendritic growth kinetics during solidification has been developed, based on a modified Cellular Automaton (mCA) for microscopic modeling of nucleation, growth of crystals and solute diffusion. The mCA model numerically calculated solute redistribution both in the solid and liquid phases, the curvature of dendrite tips and the growth anisotropy. This modeling takes account of thermal, curvature and solute diffusion effects. Therefore, it can simulate microstructure formation both on the scale of the dendrite tip length. This model was then applied for simulating dendritic solidification of an Al-7%Si alloy. Both directional and equiaxed dendritic growth has been performed to investigate the growth anisotropy and cooling rate on dendrite morphology. Furthermore, the competitive growth and selection of dendritic crystals have also investigated.

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“…• Solute diffusion and curvature have been treated as described by Nastac [4], where diffusion in a dilute binary system is given by:…”

Section: The Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Dendrite Growth during Solidification

Yao¹,

He²,

Wang³

et al. 2006

International Journal of Nonlinear Sciences and Numerical Simulation

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show abstract

“…Cellular Automaton (CA) model [11][12][13][14][15][16][17][18][19][20][21] is another computational model for describing dendritic growth, and it has been used to simulate many solidification phenomena, such as columnar-to-equiaxed transition (CET) [15] and the dendritic growth under forced flow [16] .…”

Section: Introductionmentioning

confidence: 99%

“…Due to the mesh induced anisotropy, few of the CA models [11][12][13][14][15][16][17][18] have quantitatively investigated the effects of interface free energy anisotropy on dendritic growth. It is well known that the cellular automaton rule could lead to a mesh induced anisotropy in dendrite growth, even when the interface free energy is isotropic [19][20][21] .…”

Section: Introductionmentioning

confidence: 99%

Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model

Wei

Lin

Huang

2012

Physica B: Condensed Matter

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A three-dimensional (3-D) adaptive mesh refinement (AMR) cellular automata (CA) model is developed to simulate the equiaxed dendritic growth of pure substance. In order to reduce the mesh induced anisotropy by CA capture rules, a limited neighbor solid fraction (LNSF) method is presented. An expansion description using two interface free energy anisotropy parameters ( 1 ,  2 ) is used in present 3-D CA model. The dendrite growths with the orientation selection between <100> and <110> are discussed using the different  1 with  2 =-0.02. It is found that the simulated morphologies by present CA model are as expected from the minimum stiffness criterion.

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“…Thus, the fundamentals of crystal growth kinetics attract numerous research interests [1][2][3][4][5][6][7][8][9] but the understanding of equiaxed crystal growth is inadequate because of the complexity of the process. Basically, the processing of crystal growth relies only on the undercooling, AT, in the liquid, which is given as AT = AT, + AT r + AT C + AT k (1) where AT, , AT r , AT C and AT k are the thermal, curvature, constitutional and kinetic undercooling, respectively.…”

Section: Introductionmentioning

confidence: 99%

A Model for Initial Spherical Growth during Equiaxed Solidification

Yao

2008

International Journal of Nonlinear Sciences and Numerical Simulation

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A model for solute redistribution in a spherical geometry is developed and applied for equiaxed solidification to determine the growth kinetics under the condition of moving boundary. By coupling with the macroscopic model for thermal calculation, the time-dependent growth rate of the advancing interface, interface concentration as well as the concentration distribution in both the bulk liquid and solid can be accurately calculated. The relationships between the growth rate and concentration, the solidification parameters and the alloy physical properties can also be calculated.

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Numerical modeling of solidification morphologies and segregation patterns in cast dendritic alloys

Cited by 320 publications

References 19 publications

Numerical Simulation of Dendrite Growth during Solidification

Numerical Simulation of Dendrite Growth during Solidification

Orientation selection of equiaxed dendritic growth by three-dimensional cellular automaton model

A Model for Initial Spherical Growth during Equiaxed Solidification

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