A simple approach toward quantitative phase field simulation for dilute-alloy solidification

C. J. Shih; M. H. Lee; C. W. Lan

doi:10.1016/j.jcrysgro.2005.05.052

A simple approach toward quantitative phase field simulation for dilute-alloy solidification

C. J. Shih
, M. H. Lee
, C. W. Lan^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We present a simple approach that could help quantitative phase field simulation for dilute-alloy solidification. The proposed approach mends the solute trapping problem by using a simple interface model (SIM), which requires only one free parameter. To test the feasibility of this model, a free dendritic growth from a small nucleus is simulated, and a good agreement with the anti-trapping current (ATC) model [Karma, Phys. Rev. Lett. 87 (2001) 115701] is obtained. By further studying the solute trapping effect during directional solidification, we find that the results give, with this model, a good thermodynamic consistence without solute trapping over two-order increment of the solidification speed and the interface thickness. Good agreement with the classical theory is obtained as well.

Original language	English
Pages (from-to)	515-524
Number of pages	10
Journal	Journal of Crystal Growth
Volume	282
Issue number	3-4
DOIs	https://doi.org/10.1016/j.jcrysgro.2005.05.052
Publication status	Published - 2005 Sept 1
Externally published	Yes

Keywords

A1. Adaptive phase field simulations
A1. Interface model
A1. Solidification
A1. Solute trapping

ASJC Scopus subject areas

Condensed Matter Physics
Inorganic Chemistry
Materials Chemistry

Access to Document

10.1016/j.jcrysgro.2005.05.052

Cite this

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title = "A simple approach toward quantitative phase field simulation for dilute-alloy solidification",

abstract = "We present a simple approach that could help quantitative phase field simulation for dilute-alloy solidification. The proposed approach mends the solute trapping problem by using a simple interface model (SIM), which requires only one free parameter. To test the feasibility of this model, a free dendritic growth from a small nucleus is simulated, and a good agreement with the anti-trapping current (ATC) model [Karma, Phys. Rev. Lett. 87 (2001) 115701] is obtained. By further studying the solute trapping effect during directional solidification, we find that the results give, with this model, a good thermodynamic consistence without solute trapping over two-order increment of the solidification speed and the interface thickness. Good agreement with the classical theory is obtained as well.",

keywords = "A1. Adaptive phase field simulations, A1. Interface model, A1. Solidification, A1. Solute trapping",

author = "Shih, \{C. J.\} and Lee, \{M. H.\} and Lan, \{C. W.\}",

note = "Funding Information: This research is sponsored by the National Science Council of Taiwan. The constructive comments from the reviewer are highly appreciated.",

year = "2005",

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doi = "10.1016/j.jcrysgro.2005.05.052",

language = "English",

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pages = "515--524",

journal = "Journal of Crystal Growth",

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publisher = "Elsevier BV",

number = "3-4",

}

TY - JOUR

T1 - A simple approach toward quantitative phase field simulation for dilute-alloy solidification

AU - Shih, C. J.

AU - Lee, M. H.

AU - Lan, C. W.

N1 - Funding Information: This research is sponsored by the National Science Council of Taiwan. The constructive comments from the reviewer are highly appreciated.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - We present a simple approach that could help quantitative phase field simulation for dilute-alloy solidification. The proposed approach mends the solute trapping problem by using a simple interface model (SIM), which requires only one free parameter. To test the feasibility of this model, a free dendritic growth from a small nucleus is simulated, and a good agreement with the anti-trapping current (ATC) model [Karma, Phys. Rev. Lett. 87 (2001) 115701] is obtained. By further studying the solute trapping effect during directional solidification, we find that the results give, with this model, a good thermodynamic consistence without solute trapping over two-order increment of the solidification speed and the interface thickness. Good agreement with the classical theory is obtained as well.

AB - We present a simple approach that could help quantitative phase field simulation for dilute-alloy solidification. The proposed approach mends the solute trapping problem by using a simple interface model (SIM), which requires only one free parameter. To test the feasibility of this model, a free dendritic growth from a small nucleus is simulated, and a good agreement with the anti-trapping current (ATC) model [Karma, Phys. Rev. Lett. 87 (2001) 115701] is obtained. By further studying the solute trapping effect during directional solidification, we find that the results give, with this model, a good thermodynamic consistence without solute trapping over two-order increment of the solidification speed and the interface thickness. Good agreement with the classical theory is obtained as well.

KW - A1. Adaptive phase field simulations

KW - A1. Interface model

KW - A1. Solidification

KW - A1. Solute trapping

UR - https://www.scopus.com/pages/publications/23144461754

UR - https://www.scopus.com/pages/publications/23144461754#tab=citedBy

U2 - 10.1016/j.jcrysgro.2005.05.052

DO - 10.1016/j.jcrysgro.2005.05.052

M3 - Article

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SN - 0022-0248

VL - 282

SP - 515

EP - 524

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

IS - 3-4

ER -

A simple approach toward quantitative phase field simulation for dilute-alloy solidification

Abstract

Keywords

ASJC Scopus subject areas

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