Abstract
Induction hardening, a promising approach for selective hardening of metal parts, is widely used for surface hardening, where a hard surface is required alongside a tough core. Regarding the complexity of this process, parts’ geometry deeply affects the temperature distribution and hardness profile accordingly. In this study, two magnetic flux concentrators are introduced to our induction machine set in order to control the magnetic flux and consequently hardness profile (case depth) of spur gears. The performance of magnetic flux concentrators is examined by the effect of machine parameters on the case depth and the edge effect of AISI 4340 steel-made spur gear. Design of experiments based on Taguchi method is primarily used to optimize the number of experimental trials. Then, the hardness profiles of heat-treated gears at the tip and root of gears are measured by microindentation hardness tests. The results are analyzed using analysis of variance (ANOVA) and response surface methodology (RSM) to determine the main effect of process parameters, also the best combination of process parameters that maximizes the case depth and minimizes the undesirable feature of edge effect. Finally, the predicted case depth models versus process parameters are developed based on linear regression method. To this end, four predictive models of case depth at tip and root in the edge plane and middle plane of spur gears are generated. Results imply that maximum case depth with minimum edge effect at root and tip is achieved by setting up the highest machine power, longest heating time, and minimum axial gap between concentrators and the spur gear. This study provides a good exploration of case depth in presence of magnetic flux concentrators under various process parameters and gives a reliable guideline towards edge effect during induction hardening process.
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References
Grum J (2002) Induction hardening. In: Handbook of residual stress and deformation of steel, vol 2, pp 220–247
Rudnev V, Loveless D, Cook RL (2017) Handbook of induction heating. CRC press
Khalifa M (2019) Étude du profil de dureté et de l’effet de bord des disques et engrenages droits traités thermiquement par induction en utilisant les concentrateurs de flux: prédiction et optimisation numérique et expérimentale. Université du Québec à Rimouski
Rudnev V (2004) Spin Hardening of Gears Revisited. Heat Treating Progress:17–20
Barka N, Bocher P, Brousseau J (2013) Sensitivity study of hardness profile of 4340 specimen heated by induction process using axisymmetric modeling. The International Journal of Advanced Manufacturing Technology 69(9-12):2747–2756
Iron GC (1998) Metals Handbook Desk Edition, JR Davis, Editor, pp 309–314
Fisk M, Lindgren L-E, Datchary W, Deshmukh V (2018) Modelling of induction hardening in low alloy steels. Finite elements in analysis and design 144:61–75
Rajan T, Sharma C, Sharma A (2011) Heat treatment: Principles and techniques. PHI Learning Pvt. Ltd.
Putatunda SK (2003) Influence of austempering temperature on microstructure and fracture toughness of a high-carbon, high-silicon and high-manganese cast steel. Materials & design 24(6):435–443
Callister WD, Morin A (2001) Science et génie des matériaux. Dunod
Doyon G, Rudnev V, Russell C, Maher J (2017) Revolution-not evolution-necessary to advance induction heat treating. ADVANCED MATERIALS & PROCESSES 175(6):72–80
Barka N, Chebak A, El Ouafi A, Jahazi M, Menou A (2014) A new approach in optimizing the induction heating process using flux concentrators: application to 4340 steel spur gear. Journal of materials engineering and performance 23(9):3092–3099
Savaria V, Bridier F, Bocher P (2016) Predicting the effects of material properties gradient and residual stresses on the bending fatigue strength of induction hardened aeronautical gears. International Journal of Fatigue 85:70–84
Rao S, McPherson D (2003) Experimental characterization of bending fatigue strength in gear teeth. Gear Technol 20(1):25–32
FUJITA K, YOSHIDA A, AKAMATSU K (1979) A study on strength and failure of induction-hardened chromium-molybdenum steel spur gears. Bulletin of JSME 22(164):242–248
Li Z, Ferguson BL Induction hardening process with preheat to eliminate cracking and improve quality of a large part with various wall thickness. In: International Manufacturing Science and Engineering Conference, 2017, vol. 50725. American Society of Mechanical Engineers, p V001T02A026
Barglik J (2018) Identification of temperature and hardness distribution during dual frequency induction hardening of gear wheels. Archives of Electrical Engineering:913–923-913–923
Kristoffersen H, Vomacka P (2001) Influence of process parameters for induction hardening on residual stresses. Materials & Design 22(8):637–644
Cajner F, Smoljan B, Landek D (2004) Computer simulation of induction hardening. J Mater Process Technol 157:55–60
Coupard D, Palin-luc T, Bristiel P, Ji V, Dumas C (2008) Residual stresses in surface induction hardening of steels: comparison between experiment and simulation. Materials Science and Engineering: A 487(1-2):328–339
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
Munikamal T, Sundarraj S (2013) Modeling the case hardening of automotive components. Metallurgical and Materials Transactions B 44(2):436–446
Montalvo-Urquizo J, Liu Q, Schmidt A (2013) Simulation of quenching involved in induction hardening including mechanical effects. Computational Materials Science 79:639–649
Barglik J, Smalcerz A, Przylucki R, Doležel I (2014) 3D modeling of induction hardening of gear wheels. Journal of Computational and Applied Mathematics 270:231–240
Gao K, Qin X, Wang Z, Chen H, Zhu S, Liu Y, Song Y (2014) Numerical and experimental analysis of 3D spot induction hardening of AISI 1045 steel. Journal of Materials Processing Technology 214(11):2425–2433
Ivanov D, Asperheim JI, Markegård L (2015) Residual stress distribution in induction hardened gear. In: 28th ASM Heat treating society conference, pp 29–34
Chovan J, Slodička M (2017) Induction hardening of steel with restrained Joule heating and nonlinear law for magnetic induction field: Solvability. Journal of Computational and Applied Mathematics 311:630–644
Hömberg D, Liu Q, Montalvo-Urquizo J, Nadolski D, Petzold T, Schmidt A, Schulz A (2016) Simulation of multi-frequency-induction-hardening including phase transitions and mechanical effects. Finite Elements in Analysis and Design 121:86–100
Gao K, Wang Z, Qin X-p, Zhu S-x (2016) Numerical analysis of 3D spot continual induction hardening on curved surface of AISI 1045 steel. Journal of Central South University 23(5):1152–1162
Tawa H (2020) Method for manufacturing gear. ed: Google Patents
Zhao Y-Q, Han Y, Xiao Y (2020) An asynchronous dual-frequency induction heating process for bevel gears. Applied Thermal Engineering 169:114981
Wen H, Han Y, Zhang X, Liu F, Zhang H (2021) Study on electromagnetic heating process of wind power gear: temperature morphology and evolution. Journal of Thermal Science and Engineering Applications 13(3)
Barglik J, Golak S, Smalcerz A, Wieczorek T (2019) Numerical modeling of induction hardening of gear wheels made of steel AMS 6419. Metalurgija 58(1-2):143–146
Baldan M, Nikanorov A, Nacke B (2019) A parallel multi-fidelity optimization approach in induction hardening. COMPEL-The international journal for computation and mathematics in electrical and electronic engineering
Li H, Zhou W, Liu H, Li Z, He L (2019) Analysis of phase transformation and mechanical properties of 55CrMo steel during induction hardening. Journal of Testing and Evaluation 49(1)
Han Y, Yu E-L, Zhao T-X (2016) Three-dimensional analysis of medium-frequency induction heating of steel pipes subject to motion factor. International Journal of Heat and Mass Transfer 101:452–460
Fu X, Wang B, Zhu X, Tang X, Ji H (2017) Numerical and experimental investigations on large-diameter gear rolling with local induction heating process. The International Journal of Advanced Manufacturing Technology 91(1-4):1–11
Tong D, Gu J, Totten GE (2018) Numerical investigation of asynchronous dual-frequency induction hardening of spur gear. International Journal of Mechanical Sciences 142:1–9
Barka N, Chebak A, Ouafi AE, Bocher P, Brousseau J (2012) Sensitivity study of temperature profile of 4340 spur gear heated by induction process using 3D model. In: Applied Mechanics and Materials, vol 232. Trans Tech Publ, pp 736–741
Barka N (2017) Study of the machine parameters effects on the case depths of 4340 spur gear heated by induction—2D model. The International Journal of Advanced Manufacturing Technology 93(1-4):1173–1181
Khalifa M, Barka N, Brousseau J, Bocher P (2019) Reduction of edge effect using response surface methodology and artificial neural network modeling of a spur gear treated by induction with flux concentrators. The International Journal of Advanced Manufacturing Technology:1–15
Khalifa M, Barka N, Brousseau J, Bocher P (2019) Optimization of the edge effect of 4340 steel specimen heated by induction process with flux concentrators using finite element axis-symmetric simulation and experimental validation. The International Journal of Advanced Manufacturing Technology 104(9-12):4549–4557
G. Taguchi, “Introduction to quality engineering: designing quality into products and processes,” 1986.
M. J. Crawley, Statistical computingan introduction to data analysis using S-Plus (no. 001.6424 C73). 2002.
Chandler H (1994) Heat treater’s guide: practices and procedures for irons and steels. ASM international
Jamil W et al (2016) Mechanical properties and microstructures of steel panels for laminated composites in armoured vehicles. International Journal of Automotive & Mechanical Engineering 13(3)
Khalifa M, Barka N, Brousseau J, Bocher P (2019) Sensitivity study of hardness profile of 4340 steel disc hardened by induction according to machine parameters and geometrical factors. The International Journal of Advanced Manufacturing Technology 101(1-4):209–221
Berk J, Berk S (2000) Quality management for the technology sector. Elsevier
Taguchi G (1993) Taguchi on robust technology development. bringing quality engineering upstream. ed: ASME Press, New York
Roy RK (2010) A primer on the Taguchi method. Society of Manufacturing Engineers
Karganroudi SS, Kemda VBF, Barka N (2020) A novel method of identifying porosity during laser welding of galvanized steels using microhardness pattern matrix. Manufacturing Letters 25:98–101
Barka N, Sattarpanah Karganroudi S, Fakir R, Thibeault P, Feujofack Kemda VB (2020) Effects of laser hardening process parameters on hardness profile of 4340 steel spline—an experimental approach. Coatings 10(4):342
Montgomery DC, Runger GC, Hubele NF (2009) Engineering statistics. John Wiley & Sons
Fowlkes WY, Creveling CM (1995) Engineering methods for robust product design: using Taguchi methods in technology and product development. Addison-Wesley
Montgomery DC (2001) Design and analysis of experiments, vol 1997. John Wiley & Sons,” Inc., New York, p 200.1
Grace-Martin SASK (2010) Data analysis with SPSS: a first course in applied statistics. Statistics 4:27
Frost J (2019) Regression analysis. An intuitive guide for using and interpreting linear models. ebook
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The authors’ contributions are as follows: Noureddine Barka and Mohamed Khalifa conceived, planned, and carried out the experiments; Mahyar Parvinzadeh, Sasan Sattarpanah Karganroudi, and Narges Omidi contributed to the interpretation of the results. Sasan Sattarpanah Karganroudi took the lead in writing the manuscript; Mahyar Parvinzadeh, and Narges Omidi contributed actively in writing the manuscript; all authors provided critical feedback and helped shape the research, analysis and manuscript.
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Parvinzadeh, M., Sattarpanah Karganroudi, S., Omidi, N. et al. A novel investigation into edge effect reduction of 4340 steel spur gear during induction hardening process. Int J Adv Manuf Technol 113, 605–619 (2021). https://doi.org/10.1007/s00170-021-06639-w
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DOI: https://doi.org/10.1007/s00170-021-06639-w