Determination of parameters of double-ellipsoidal heat source model based on optimization method

  • Y. Gu
  • Y. D. LiEmail author
  • Y. Yong
  • F. L. Xu
  • L. F. Su
Research Paper


To determine the parameters of the double-ellipsoidal heat source model (DEHSM) in welding simulations, a technique is developed to extract the parameters of weld pool shape from the simulation results. The technique is developed based on the knowledge of the isoparametric transformation and computer graphics, and its validity is verified by a graphic comparison. It is shown that the technique can effectively extract and reflect the shape of weld pools without interrupting the solution process of the DEHSM parameters. Second, using this technique in conjunction with the optimization method, an approach is proposed to determine the DEHSM parameters. Next, using the proposed method, the DEHSM parameters associated with four different welding conditions are determined. Finally, with these parameters, their corresponding weld widths and penetrations are compared with the measured ones. The results demonstrate that the proposed method can efficiently determine the DEHSM parameters with a relatively high accuracy.


Double-ellipsoidal heat source model Welding temperature Optimization method Isoparametric transformation 


Funding information

The authors gratefully acknowledge the support provided by the National Natural Science Foundation of China (Grant Nos. 51708467 and 51378430) and the Doctoral Found of Southwest University of Science and Technology (Grant No. 16zx7134).


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Copyright information

© International Institute of Welding 2019

Authors and Affiliations

  1. 1.School of Civil Engineering and ArchitectureSouthwest University of Science and TechnologyMianyangChina
  2. 2.School of Civil EngineeringSouthwest Jiaotong UniversityChengduChina
  3. 3.Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan ProvinceMianyangChina
  4. 4.Sichuan Civil–Military Integration InstituteMianyangChina

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