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

    5 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 statusPublished - 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.",
    keywords = "Asymptotic analysis, Phase field method, Rapid solidification, Solute trapping, ProperTune",
    author = "Tatu Pinomaa and Nikolas Provatas",
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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

    Y1 - 2019/2/12

    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

    KW - Rapid solidification

    KW - Solute trapping

    KW - ProperTune

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