Study of Heat Source Calibration and Modelling for Laser Welding Process

  • Changrong ChenEmail author
  • Yueh-Jaw Lin
  • Hengan Ou
  • Yan Wang
Regular Paper


Heat source model is an important part when carrying out simulations of welding processes. The calibration process involves a great amount of numerical simulations or theoretical deductions with many simplifications. In this paper, an interaction finite element and optimization algorithm package is programmed to automatically calibrate heat source models. The results are then used to establish mathematical relationships between parameters of heat source and welding process variables. The models show that the absorption efficiency and depth of heat source are exponential functions of depth of focus and laser power, respectively while radius of heat source is determined by depth of focus quadratically.


Heat source model Laser welding Finite element modelling Mathematical modelling 



specific heat capacity


depth of defocus of a heat


frequency of laser pulse


depth of a heat source


current for laser generation


thermal conductivity


heat flux density of laser on workpiece

\(\dot q\)

rate of heat distributed in workpiece


laser power


radius of a heat source


radial distance of a point from the symmetric heat source axis






scanning speed of laser beam




energy absorption efficiency


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Copyright information

© Korean Society for Precision Engineering and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical and Automotive EngineeringFujian University of TechnologyFuzhouChina
  2. 2.Faculty of Science and EngineeringUniversity of Nottingham Ningbo ChinaNingboChina
  3. 3.Department of Mechanical, Materials and Manufacturing EngineeringUniversity of NottinghamNottinghamUK
  4. 4.School of Computing, Engineering and MathematicsUniversity of BrightonBrightonUK

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