Thermodynamic modelling of the surface treatment of a wide thin steel plate with a Gaussian laser beam

Feng Qiu, Veli Kujanpää

    Research output: Contribution to journalArticleScientificpeer-review

    1 Citation (Scopus)

    Abstract

    This study develops a thermodynamic model to investigate the quasi-steady thermal process of a wide thin steel workpiece irradiated with a moving Gaussian laser beam. Equations are established for temperature distribution, transformation boundaries, homogenisation time of austenite and cooling rate. The equations are numerically solved with an error of less than 10−8. The temperature distributions for various thicknesses are compared with that for infinite thickness at different laser traverse speed. The lag of the peak temperature relative to the centre of laser beam is found to be limited. The conditions to produce full and partial martensite are investigated. The model is verified by comparing the calculated Ac1 and Ac3 depths and temperature cycles with the experimental results. For AISI 4340 steel, correction coefficients are applied to the model to produce an empirical equation for temperature cycles above 488.4°C.
    Original languageEnglish
    Pages (from-to)131-153
    Number of pages23
    JournalInternational Journal of Computational Materials Science and Surface Engineering
    Volume5
    Issue number2
    DOIs
    Publication statusPublished - 2013
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Surface Treatment
    Gaussian Beam
    Steel
    Laser Beam
    Laser beams
    Surface treatment
    Thermodynamics
    Temperature Distribution
    Temperature distribution
    Modeling
    Cycle
    Martensite
    Homogenization
    Austenite
    Temperature
    Cooling
    Model
    Laser
    Partial
    Lasers

    Keywords

    • modelling
    • hardening
    • Gaussian laser beam
    • thermal cycle
    • temperature distribution
    • cooling rate
    • hardened depth.

    Cite this

    @article{40b75818dbf74162979c7691485b852c,
    title = "Thermodynamic modelling of the surface treatment of a wide thin steel plate with a Gaussian laser beam",
    abstract = "This study develops a thermodynamic model to investigate the quasi-steady thermal process of a wide thin steel workpiece irradiated with a moving Gaussian laser beam. Equations are established for temperature distribution, transformation boundaries, homogenisation time of austenite and cooling rate. The equations are numerically solved with an error of less than 10−8. The temperature distributions for various thicknesses are compared with that for infinite thickness at different laser traverse speed. The lag of the peak temperature relative to the centre of laser beam is found to be limited. The conditions to produce full and partial martensite are investigated. The model is verified by comparing the calculated Ac1 and Ac3 depths and temperature cycles with the experimental results. For AISI 4340 steel, correction coefficients are applied to the model to produce an empirical equation for temperature cycles above 488.4°C.",
    keywords = "modelling, hardening, Gaussian laser beam, thermal cycle, temperature distribution, cooling rate, hardened depth.",
    author = "Feng Qiu and Veli Kujanp{\"a}{\"a}",
    year = "2013",
    doi = "10.1504/IJCMSSE.2013.053201",
    language = "English",
    volume = "5",
    pages = "131--153",
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    }

    Thermodynamic modelling of the surface treatment of a wide thin steel plate with a Gaussian laser beam. / Qiu, Feng; Kujanpää, Veli.

    In: International Journal of Computational Materials Science and Surface Engineering, Vol. 5, No. 2, 2013, p. 131-153.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Thermodynamic modelling of the surface treatment of a wide thin steel plate with a Gaussian laser beam

    AU - Qiu, Feng

    AU - Kujanpää, Veli

    PY - 2013

    Y1 - 2013

    N2 - This study develops a thermodynamic model to investigate the quasi-steady thermal process of a wide thin steel workpiece irradiated with a moving Gaussian laser beam. Equations are established for temperature distribution, transformation boundaries, homogenisation time of austenite and cooling rate. The equations are numerically solved with an error of less than 10−8. The temperature distributions for various thicknesses are compared with that for infinite thickness at different laser traverse speed. The lag of the peak temperature relative to the centre of laser beam is found to be limited. The conditions to produce full and partial martensite are investigated. The model is verified by comparing the calculated Ac1 and Ac3 depths and temperature cycles with the experimental results. For AISI 4340 steel, correction coefficients are applied to the model to produce an empirical equation for temperature cycles above 488.4°C.

    AB - This study develops a thermodynamic model to investigate the quasi-steady thermal process of a wide thin steel workpiece irradiated with a moving Gaussian laser beam. Equations are established for temperature distribution, transformation boundaries, homogenisation time of austenite and cooling rate. The equations are numerically solved with an error of less than 10−8. The temperature distributions for various thicknesses are compared with that for infinite thickness at different laser traverse speed. The lag of the peak temperature relative to the centre of laser beam is found to be limited. The conditions to produce full and partial martensite are investigated. The model is verified by comparing the calculated Ac1 and Ac3 depths and temperature cycles with the experimental results. For AISI 4340 steel, correction coefficients are applied to the model to produce an empirical equation for temperature cycles above 488.4°C.

    KW - modelling

    KW - hardening

    KW - Gaussian laser beam

    KW - thermal cycle

    KW - temperature distribution

    KW - cooling rate

    KW - hardened depth.

    U2 - 10.1504/IJCMSSE.2013.053201

    DO - 10.1504/IJCMSSE.2013.053201

    M3 - Article

    VL - 5

    SP - 131

    EP - 153

    JO - International Journal of Computational Materials Science and Surface Engineering

    JF - International Journal of Computational Materials Science and Surface Engineering

    SN - 1753-3465

    IS - 2

    ER -