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

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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.",
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author = "Feng Qiu and Veli Kujanp{\"a}{\"a}",
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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

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ER -