Effect of Skin Depth on Hardness Profile of Gear Heated by Induction Using 2D Model


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This work is carried principally by simulation efforts using computer-modeling software (COMSOL). The developed 2D model includes the coupling between electromagnetic and thermal fields, and takes account of the nonlinear behaviour of material properties versus temperature. Several steps were followed to reach this goal. First, a 2D finite element model of a gear was developed in order to simulate the induced currents density and temperature distributions for various frequencies and external currents applied in the coil. Second, the temperature profiles were compared using the ratio between the skin depth and the teeth height. In geometry cases, it was possible to dose the power level of the medium (MF) and high (HF) frequencies to reach a desired uniform case depth. The MF and HF powers are simulated sequentially in order to better concentrate heat in the tooth tip and root of gear. The obtained results help process developers to select the proper parameters for the induction machine in order to achieve the desired hardness profile.



Edited by:

Yun Wu and Yijin Wu




N. Barka et al., "Effect of Skin Depth on Hardness Profile of Gear Heated by Induction Using 2D Model", Advanced Materials Research, Vol. 664, pp. 884-890, 2013

Online since:

February 2013




[1] V. Rudnev, D. Loveless, R. Cook and M. Black, Handbook of induction heating. Marcel Dekker, New York, (2003).

[2] J. Yuan, J. Kang, Y. Rong and R.D. Sisson, FEM modeling of induction hardening processes in steel, Journal of Materials Engineering and Performance. 12 (2003) 589-596.

DOI: https://doi.org/10.1361/105994903100277111

[3] N. Barka, A. Chebak, A. El Ouafi, P. Bocher and J. Brousseau, study of induction heating process applied to internal gear using 3D simulation, Applied Mechanics and Materials. 232 (2012) 736-741.

DOI: https://doi.org/10.4028/www.scientific.net/amm.232.730

[4] N. Barka, P. Bocher, J. Brousseau, M. Galopin and S. Sundararajan, Modeling and sensitivity study of the induction hardening process, Advanced Materials Research. 15-17 (2007) 525-530.

DOI: https://doi.org/10.4028/www.scientific.net/amr.15-17.525

[5] U.S. Defense Departement, Metallic Materials and Elements for Aerospace Vehicle Structures, Military Handbook - MIL-HDBK-5H, (1998).

[6] N. Barka, A.J. Khelalfa, P. Bocher, J. Brousseau, Analysis of the effect of frequency using numerical modeling of induction hardening process, 1st International Conference on Sustainable Manufacturing, Montreal, Canada (2007).