Numerical simulation of a magnetic induction coil for heat treatment of an AISI 4340 gear

Abstract

In manufacturing industry, heat treatment is a fundamental requirement for improving the material quality of readily manufactured products. Induction heating technology is repeatable and easily controlled by the advantage of having an electronical control unit. Nowadays, numerical methods have gained so much importance that it become as a reference for the induction heating industry. Experimental methods are costly and time demanding procedures. However, making use of finite element method software, induction heating simulations of a steel gear can be performed relatively cost effective and in a short time. In this paper, induction heating simulation of an AISI 4340 steel gear using FEA software is performed. The effect of variation of inductor frequency and gear workpiece-inductor coil distance on the hardening depth of the gear surface is investigated. The temperature profile of the workpiece is obtained. From the temperature distribution on the steel gear workpiece, the regions of the gear at which the austenitizing temperature (Ac3) - responsible for martensite phase formation- are observed. From the numerical results, hardening profile and hardening depth of the gear is interpreted.

Keywords

• Induction heating
• Numerical Modelling
• Hardness profile
• Surface Hardening

References

1. Bukanin, V. A., Ivanov, A. N., Zenkov, A. E., Vologdin, V. V., & Vologdin Jr, V. V. 2018. Induction Hardening of External Gear. Management Science and Engineering, 327(2), 022016. https://doi.org/10.1088/1757-899X/327/2/022016 

2. Dawson, F. P., & Jain, P. 1990. Systems for induction heating and melting applications: a comparison of load commutated inverter. In 21st Annual IEEE Conference on Power Electronics Specialists (pp. 281-290). IEEE.
3. Magnabosco, I., Ferro, P., Tiziani, A., & Bonollo, F. 2006. Induction heat treatment of a ISO C45 steel bar: Experimental and numerical analysis. Computational materials science, 35(2), 98-106. https://doi.org/10.1016/j.commatsci.2005.03.010 

4. Jomaa, W., Songmene, V., & Bocher, P. 2013. On residual stress changes after orthogonal machining of induction hardened AISI 4340 steel. In Proceedings of Materials Science and Technology Conference and Exhibition, MS&T, 13, 94-103.
5. Lucia, O., Acero, J., Carretero, C., & Burdio, J. M. 2013. Induction heating appliances: Toward more flexible cooking surfaces. IEEE Industrial Electronics Magazine, 7(3), 35-47.
6. Jankowski, T. A., Pawley, N. H., Gonzales, L. M., Ross, C. A., & Jurney, J. D. 2016. Approximate analytical solution for induction heating of solid cylinders. Applied Mathematical Modelling, 40(4), 2770-2782. https://doi.org/10.1016/j.apm.2015.10.006 

7. Tavakoli, M. H., Ojaghi, A., Mohammadi-Manesh, E., & Mansour, M. 2009. Influence of coil geometry on the induction heating process in crystal growth systems. Journal of crystal growth, 311(6), 1594-1599. https://doi.org/10.1016/j.jcrysgro.2009.01.092 

8. Chaboudez, C., Clain, S., Glardon, R., Rappaz, J., Swierkosz, M., & Touzani, R. 1994. Numerical modeling of induction heating of long workpieces. IEEE transactions on magnetics, 30(6), 5028-5037.

9. Fu, X., Wang, B., Tang, X., Ji, H., & Zhu, X. 2017. Study on induction heating of workpiece before gear rolling process with different coil structures. Applied Thermal Engineering, 114, 1-9. https://doi.org/10.1016/j.applthermaleng.2016.11.192 

10. Baldan, M., Cetin, M., Nikanorov, A., & Nacke, B. 2019. Optimal Design of Magnetic Flux Concentrators in Induction Heating. In 2019 XXI International Conference Complex Systems: Control and Modeling Problems (CSCMP) (pp. 203-207). IEEE.
11. Bukanin, V., Ivanov, A., & Zenkov, A. 2019. Investigation of heating and melting in ELTA programs. COMPEL-The international journal for computation and mathematics in electrical and electronic engineering.
12. Bukanin, V. A., Zenkov, A. E., & Ivanov, A. N. 2017. Simulation of single and dual-frequency induction hardening of steel gear using ELTA. In 2017 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus) (pp. 791-795). IEEE.
13. M. Fisk. 2011. Simulation of induction heating in manufacturing. International Journal for Computational Methods in Engineering Science and Mechanics,12,161-167.
14. Chen, H. C., & Huang, K. H. 2008. Finite element analysis of coupled electromagnetic and thermal fields within a practical induction heating cooker. International Journal of Applied Electromagnetics and Mechanics, 28(4), 413-427.
15. Candeo, A., Ducassy, C., Bocher, P., & Dughiero, F. (2011). Multiphysics modeling of induction hardening of ring gears for the aerospace industry. IEEE Transactions on Magnetics, 47(5), 918-921.
16. Frogner, K., Andersson, M., Cedell, T., Siesing, L., Jeppsson, P., & Ståhl, J. 2011. Industrial heating using energy efficient induction technology. In Proc. Int. Conf. Manuf. Syst. (pp. 1-6).
17. Hadhri, M., El Ouafi, A., & Barka, N. 2017. Prediction of the hardness profile of an AISI 4340 steel cylinder heat-treated by laser-3D and artificial neural networks modelling and experimental validation. Journal of Mechanical Science and Technology, 31(2), 615-623.
18. Pape, J. A., & Neu, R. W. 2007. A comparative study of the fretting fatigue behavior of 4340 steel and PH 13-8 Mo stainless steel. International journal of fatigue, 29(12), 2219-2229.
19. Maamri, I., El Ouafi, A., & Barka, N. 2014. Prediction of 4340 steel hardness profile heat-treated by laser using artificial neural networks and multi regression approaches. International Journal of Engineering and Innovative Technology, 4(6), 14-22.
20. Bilal, M. M., Yaqoob, K., Zahid, M. H., Tanveer, W. H., Wadood, A., & Ahmed, B. 2019. Effect of austempering conditions on the microstructure and mechanical properties of AISI 4340 and AISI 4140 steels. Journal of Materials Research and Technology, 8(6), 5194-5200.