Insight into analytical modeling of electromagnetic forming

  • Zhipeng Lai
  • Quanliang Cao
  • Xiaotao Han
  • Meng Chen
  • Ning Liu
  • Xiaoxiang Li
  • Qingshan Cao
  • Yujie Huang
  • Qi Chen
  • Liang LiEmail author


Due to its simplicity and clear physical meaning, the analytical method is attractive for analyzing the multiphysics of electromagnetic forming; however, the reliability of the analytical method is of great concern due to numerous simplifications. Targeting on an efficient and reliable analytical model of electromagnetic forming, this paper focuses on two objectives. Firstly, we developed a multiphysics-coupled analytical model for a commonly used electromagnetic actuator—uniform pressure coil. This model considers the interaction between the electromagnetic and mechanical fields and takes the influences of the geometry and material parameters into account, thus enhancing the accuracy of the analysis. After that, we proposed a criterion to assess the applicability of a fundamental assumption made about the analytical model, that is, the magnetic field induced by the electromagnetic coil could be completely confined by the workpiece. The applicability of this assumption is of fundamental importance, as it determines the reliability of the analytical model. The proposed criterion enables the quantitative evaluation of the applicability of the assumption in terms of process parameters. We validated the proposed model by a combination of experimental, analytical, and numerical investigations. Then, we identified the effectiveness and universality of the proposed criterion by comparing it with a widely accepted one; the underlying physical foundation of the proposed criterion was also discussed. The presented study could contribute to a fundamental understanding on the analytical model of electromagnetic forming, which provides a critical guidance for an efficient and reliable analytical work.


Electromagnetic forming Analytical method Uniform pressure coil Magnetic pressure Pulsed magnetic field 


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Funding information

The authors sincerely thank the support from the National Basic Research Program of China (973 Program): 2011CB012801 and the China Postdoctoral Science Foundation: 2018M632856.


  1. 1.
    Psyk V, Risch D, Kinsey BL, Tekkaya AE, Kleiner M (2011) Electromagnetic forming—a review. J Mater Process Technol 211:787–829CrossRefGoogle Scholar
  2. 2.
    Daehn, G.S., 2006. High velocity metal forming, ASM handbook, metalworking: sheet forming, vol 14B. ASM International, pp. 405–418Google Scholar
  3. 3.
    Cui X, Mo J, Li J, Zhao J, Zhu Y, Huang L, Li Z, Zhong K (2014) Electromagnetic incremental forming (EMIF): a novel aluminum alloy sheet and tube forming technology. J Mater Process Technol 214:409–427CrossRefGoogle Scholar
  4. 4.
    Lai Z, Cao Q, Han X, Liu N, Li X, Huang Y, Chen M, Cai H, Wang G, Liu L, Guo W, Chen Q, Li L (2017) A comprehensive electromagnetic forming approach for large sheet metal forming. Proced Eng 207:54–59CrossRefGoogle Scholar
  5. 5.
    Long A, Wan M, Wang W, Wu X, Cui X, Fang C (2017) Electromagnetic superposed forming of large-scale one-dimensional curved AA2524-T3 sheet specimen. Int J Adv Manuf Technol 92:25–38CrossRefGoogle Scholar
  6. 6.
    Lei X, Tan J, Zhan M, Gao P (2018) Dependence of electromagnetic force on rib geometry in the electromagnetic forming of stiffened panels. Int J Adv Manuf Technol 94:217–226CrossRefGoogle Scholar
  7. 7.
    Xu JR, Yu HP, Li CF (2013) Effects of process parameters on electromagnetic forming of AZ31 magnesium alloy sheets at room temperature. Int J Adv Manuf Technol 66:1591–1602CrossRefGoogle Scholar
  8. 8.
    Lai Z, Cao Q, Zhang B, Han X, Zhou Z, Xiong Q, Zhang X, Chen Q, Li L (2015) Radial Lorentz force augmented deep drawing for large drawing ratio using a novel dual-coil electromagnetic forming system. J Mater Process Technol 222:13–20CrossRefGoogle Scholar
  9. 9.
    Imbert J, Worswick M (2011) Electromagnetic reduction of a pre-formed radius on AA 5754 sheet. J Mater Process Technol 211:896–908CrossRefGoogle Scholar
  10. 10.
    Woodward S, Weddeling C, Daehn G, Psyk V, Carson B, Tekkaya AE (2011) Production of low-volume aviation components using disposable electromagnetic actuators. J Mater Process Technol 211:886–895CrossRefGoogle Scholar
  11. 11.
    Shang J, Daehn G (2011) Electromagnetically assisted sheet metal stamping. J Mater Process Technol 211:868–874CrossRefGoogle Scholar
  12. 12.
    Liu W, Zou X, Huang S, Lei Y (2018) Electromagnetic-assisted calibration for surface part of aluminum alloy with a dedicated uniform pressure coil. Int J Adv Manuf TechnolGoogle Scholar
  13. 13.
    Mamutov AV, Golovashchenko SF, Mamutov VS (2018) Experimental-analytical method of analyzing performance of coils for electromagnetic forming and joining operations. J Mater Process Technol 255:86–95CrossRefGoogle Scholar
  14. 14.
    Kamal M, Daehn GS (2007) A uniform pressure electromagnetic actuator for forming flat sheets. J Manuf Sci Eng 129:369–379CrossRefGoogle Scholar
  15. 15.
    Brune RC, Hansen SR, Vivek A, Sosa JM, Daehn GS (2017) Profile indentation pressure evaluation method for impulse manufacturing technologies. J Mater Process Technol 248:185–197CrossRefGoogle Scholar
  16. 16.
    Al-Hassani STS, Duncan JL, Johnson W (1969) Techniques for designing electromagnetic forming coils. Proceedings 2nd international conference on high rate formingGoogle Scholar
  17. 17.
    Takatsu N, Kato M, Sato K, Tobe T (1988) High-speed forming of metal sheets by electromagnetic force. JSME Int J. Ser. 3, Vibration, Control Engineering, Engineering for Industry. 31:142–148Google Scholar
  18. 18.
    Fenton GK, Daehn GS (1998) Modeling of electromagnetically formed sheet metal. J Mater Process Technol 75:6–16CrossRefGoogle Scholar
  19. 19.
    Yu H, Li C, Deng J (2009) Sequential coupling simulation for electromagnetic–mechanical tube compression by finite element analysis. J Mater Process Technol 209:707–713CrossRefGoogle Scholar
  20. 20.
    Cao Q, Li L, Lai Z, Zhou Z, Xiong Q, Zhang X, Han X (2014) Dynamic analysis of electromagnetic sheet metal forming process using finite element method. Int J Adv Manuf Technol 74:361–368CrossRefGoogle Scholar
  21. 21.
    Lai Z, Cao Q, Han X, Huang Y, Deng F, Chen Q, Li L (2017) Investigation on plastic deformation behavior of sheet workpiece during radial Lorentz force augmented deep drawing process. J Mater Process Technol 245:193–206CrossRefGoogle Scholar
  22. 22.
    L’Eplattenier P, Çaldichoury I (2012) Update on the electromagnetism module in LS-DYNA, 12th LS-DYNA users conference, DetroitGoogle Scholar
  23. 23.
    Xiaohui C, Jianhua M, Fei H (2012) 3D multi-physics field simulation of electromagnetic tube forming. Int J Adv Manuf Technol 59:521–529CrossRefGoogle Scholar
  24. 24.
    Weddeling C, Demir OK, Haupt P, Tekkaya AE (2015) Analytical methodology for the process design of electromagnetic crimping. J Mater Process Technol 222:163–180CrossRefGoogle Scholar
  25. 25.
    Thibaudeau E, Kinsey BL (2015) Analytical design and experimental validation of uniform pressure actuator for electromagnetic forming and welding. J Mater Process Technol 215:251–263CrossRefGoogle Scholar
  26. 26.
    Kim JH, Kim D, Lee M-G (2015) Experimental and numerical analysis of a rectangular helical coil actuator for electromagnetic bulging. Int J Adv Manuf Technol 78:825–839CrossRefGoogle Scholar
  27. 27.
    Al-Hassani S, Duncan J, Johnson W, (1968) The influence of the electrical and geometrical parameters in magnetic forming. Proc. 8th Int. MTDR Conf., UK, September 1967, Pergamon, Oxford, pp. 1333–1347Google Scholar
  28. 28.
    Al-Hassani S, Duncan J, Johnson W (1974) On the parameters of the magnetic forming process. J Mech Eng Sci 16:1–9CrossRefGoogle Scholar
  29. 29.
    Jablonski J, Winkler R (1978) Analysis of the electromagnetic forming process. Int J Mech Sci 20:315–325CrossRefGoogle Scholar
  30. 30.
    Zhang H, Murata M, Suzuki H (1995) Effects of various working conditions on tube bulging by electromagnetic forming. J Mater Process Technol 48:113–121CrossRefGoogle Scholar
  31. 31.
    Al-Hassani S (1975) Magnetic pressure distributions in sheet metal forming. Conference on electrical methods of machining, forming, and coating, pp 1–10Google Scholar
  32. 32.
    Weddeling C, Hahn M, Daehn GS, Tekkaya AE (2014) Uniform pressure electromagnetic actuator—an innovative tool for magnetic pulse welding. Proced CIRP 18:156–161CrossRefGoogle Scholar
  33. 33.
    Yu H, Li C (2009) Effects of current frequency on electromagnetic tube compression. J Mater Process Technol 209:1053–1059CrossRefGoogle Scholar
  34. 34.
    Cao Q, Han X, Lai Z, Zhang B, Zhou Z, Qiu L, Li L (2014) Effects of current frequency on electromagnetic sheet metal forming process. Applied Superconductivity, IEEE Transactions on 24, 1–4Google Scholar
  35. 35.
    Lal GK, Hillier MJ (1968) The electrodynamics of electromagnetic forming. Int J Mech Sci 10:491–500CrossRefGoogle Scholar
  36. 36.
    Kinsey B, Zhang S, Korkolis YP (2018) Semi-analytical modelling with numerical and experimental validation of electromagnetic forming using a uniform pressure actuator. CIRP Ann 67:285–288CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Wuhan National High Magnetic Field CenterHuazhong University of Science and TechnologyWuhanChina
  2. 2.State Key Laboratory of Advanced Electromagnetic Engineering and TechnologyHuazhong University of Science and TechnologyWuhanChina

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