Quantitative phase field modeling of solute trapping and continuous growth kinetics in quasi-rapid solidification

Tatu Pinomaa (Corresponding Author), Nikolas Provatas

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

Solute trapping is an important phenomenon in rapid solidification of alloys, for which the continuous growth model (CGM) of Aziz et al. [1] is a popular sharp interface theory. By modulating the so-called anti-trapping current and using asymptotic analysis, we show how to quantitatively map the thin interface behavior of an ideal dilute binary alloy phase field model onto the CGM kinetics. We present the parametrizations that allow our phase field model to map onto the sharp interface kinetics of the CGM, both in terms of partition coefficient k(V) and kinetic undercooling. We also show that the mapping is convergent for different interface widths, both in transient and steady state simulations. Finally we present the effect that solute trapping can have on cellular growth in directional solidification. The presented treatment for solute trapping can be easily implemented in different phase field models, and is expected to be an important feature in future studies of quantitative phase field modeling in quasi-rapid solidification regimes, such as those relevant to metal additive manufacturing.

Original languageEnglish
Pages (from-to)167-177
Number of pages11
JournalActa Materialia
Volume168
DOIs
Publication statusE-pub ahead of print - 12 Feb 2019
MoE publication typeA1 Journal article-refereed

Fingerprint

Rapid solidification
Growth kinetics
3D printers
Undercooling
Asymptotic analysis
Binary alloys
Solidification
Metals

Keywords

  • Asymptotic analysis
  • Phase field method
  • Rapid solidification
  • Solute trapping
  • ProperTune

Cite this

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title = "Quantitative phase field modeling of solute trapping and continuous growth kinetics in quasi-rapid solidification",
abstract = "Solute trapping is an important phenomenon in rapid solidification of alloys, for which the continuous growth model (CGM) of Aziz et al. [1] is a popular sharp interface theory. By modulating the so-called anti-trapping current and using asymptotic analysis, we show how to quantitatively map the thin interface behavior of an ideal dilute binary alloy phase field model onto the CGM kinetics. We present the parametrizations that allow our phase field model to map onto the sharp interface kinetics of the CGM, both in terms of partition coefficient k(V) and kinetic undercooling. We also show that the mapping is convergent for different interface widths, both in transient and steady state simulations. Finally we present the effect that solute trapping can have on cellular growth in directional solidification. The presented treatment for solute trapping can be easily implemented in different phase field models, and is expected to be an important feature in future studies of quantitative phase field modeling in quasi-rapid solidification regimes, such as those relevant to metal additive manufacturing.",
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Quantitative phase field modeling of solute trapping and continuous growth kinetics in quasi-rapid solidification. / Pinomaa, Tatu (Corresponding Author); Provatas, Nikolas.

In: Acta Materialia, Vol. 168, 12.02.2019, p. 167-177.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Quantitative phase field modeling of solute trapping and continuous growth kinetics in quasi-rapid solidification

AU - Pinomaa, Tatu

AU - Provatas, Nikolas

PY - 2019/2/12

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N2 - Solute trapping is an important phenomenon in rapid solidification of alloys, for which the continuous growth model (CGM) of Aziz et al. [1] is a popular sharp interface theory. By modulating the so-called anti-trapping current and using asymptotic analysis, we show how to quantitatively map the thin interface behavior of an ideal dilute binary alloy phase field model onto the CGM kinetics. We present the parametrizations that allow our phase field model to map onto the sharp interface kinetics of the CGM, both in terms of partition coefficient k(V) and kinetic undercooling. We also show that the mapping is convergent for different interface widths, both in transient and steady state simulations. Finally we present the effect that solute trapping can have on cellular growth in directional solidification. The presented treatment for solute trapping can be easily implemented in different phase field models, and is expected to be an important feature in future studies of quantitative phase field modeling in quasi-rapid solidification regimes, such as those relevant to metal additive manufacturing.

AB - Solute trapping is an important phenomenon in rapid solidification of alloys, for which the continuous growth model (CGM) of Aziz et al. [1] is a popular sharp interface theory. By modulating the so-called anti-trapping current and using asymptotic analysis, we show how to quantitatively map the thin interface behavior of an ideal dilute binary alloy phase field model onto the CGM kinetics. We present the parametrizations that allow our phase field model to map onto the sharp interface kinetics of the CGM, both in terms of partition coefficient k(V) and kinetic undercooling. We also show that the mapping is convergent for different interface widths, both in transient and steady state simulations. Finally we present the effect that solute trapping can have on cellular growth in directional solidification. The presented treatment for solute trapping can be easily implemented in different phase field models, and is expected to be an important feature in future studies of quantitative phase field modeling in quasi-rapid solidification regimes, such as those relevant to metal additive manufacturing.

KW - Asymptotic analysis

KW - Phase field method

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KW - ProperTune

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