Abstract
The objective of this study was to follow the crack propagation in the tooth foot of a spur gear by using Linear Elastic Fracture Mechanics (LEFM) and the Finite Element Method (FEM). The tooth foot crack propagation is a function of Stress Intensity Factors (SIF) that play a very crucial role in the life span of the gear. A two-dimensional quasi-static analysis is carried out using a program that determines the gear geometry, coupled with the Finite Element Code (ANSYS). The study estimates the stress intensity factors and monitors their variations on the tooth foot according to crack depth, crack propagation angle, and the crack position. An appropriate methodology for predicting the crack propagation path is applied by considering gear tooth behavior in bending fatigue. The results are used to predict/prevent catastrophic rim fracture failure modes from occurring in critical components.
Similar content being viewed by others
References
AGMA Standard No. 215-01 (1966)
DIN 3990: Calculation of Load Capacity of Cylindrical Gears (1987)
ISO/DIS 6336/1: Calculation of Load Capacity of Spur and Helical Gears, pp. 74–80 (1983)
Albrecht, C.: Transmission design using finite element method analysis techniques. J. Am. Helicopter Soc. 33(2), 3–14 (1988)
Shang, D.G., Yao, W.X., Wang, D.J.: A new approach to the determination of fatigue crack initiation size. Int. J. Fatigue 20, 683–687 (1998)
Glodež, S., Šraml, M., Kramberger, J.: A computational model for determination of service life of gears. Int. J. Fatigue 24, 1013–1020 (2002)
Sfakiotakis, V.G., Katsareas, D.E., Anifantis, N.K.: Boundary element analysis of gear teeth fracture. Eng. Anal. Bound. Elem. 20(2), 169–175 (1997)
Arikin, M.A., Tarhan, A.I., Yahoj, O.S.: Life estimate of a spur gear with a tooth cracked at fillet region. In: Proceedings of the ASME Design Engineering Technical Conference, Atlanta, GA, USA (1998)
Abersek, B., Flasker, J.: Experimental analysis of propagation of fatigue crack on gears. Exp. Mech. 38(3), 226–230 (1998)
Lewicki, D.G., Ballarini, R.: Effect of rim thickness on gear crack propagation path. J. Mech. Des. 119(1), 88–95 (1997)
Ciavarella, M., Demelio, G.: Numerical methods for the optimization of specific sliding, stress concentration, and fatigue life of gears. Int. J. Fatigue 21(5), 465–474 (1999)
Lewicki, D.G., Spievak, L.E., Wawrzynek, P.A., Ingraffea, A.R., Handschuh, R.F.: Consideration of moving tooth load in gear crack propagation predictions. In: Proceedings of the 8th International Power Transmission and Gearing Conference, Baltimore, MD, USA (2000)
Spievak, L.E., Wawrzynek, P.A., Ingraffea, A.R., LEWICKI, D.G.: Simulating fatigue crack growth in spiral bevel gears. Eng. Fract. Mech. 68(1), 53–76 (2001)
Lewicki, D., et al.: Rim Thickness Effects on Gear Crack Propagation Life. Vehicle Propulsion Directorate, U.S. Army Research Laboratory, NASA Lewis Research Center, Cleveland, OH (2006)
Lewicki, D.: Effect of Speed (Centrifugal Load) on Gear Crack Propagation. U.S. Army Research Laboratory, Glenn Research Center, Cleveland, OH (2001)
Aslantas, K., et al.: A Study of Spur Gear Pitting Formation and Life Prediction. Technical Education Faculty, Afyon Kocatepe University, Afyon, Turkey (2004)
Sfakiotakis, V.G., et al.: Finite Element Modeling of Spur Gearing Fractures. Machine Design Laboratory, Mechanical & Aeronautics Engineering Department, University of Patras, Patras, Greece (2001)
Goldez, S., et al.: A Computational Model for Determination of Service Life of Gears. Faculty of Mechanical Engineering, University of Maribor, Maribor, Slovenia (2002)
Kramberger, J., et al.: Computational Model for the Analysis of Bending Fatigue in Gears. Faculty of Mechanical Engineering, University of Maribor, Maribor, Slovenia (2004)
Anderson, T.L.: Fracture Mechanics—Fundamentals and Applications. CRC Press, Boca Raton, FL (1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zouari, S., Maatar, M., Fakhfakh, T. et al. Following Spur Gear Crack Propagation in the Tooth Foot by Finite Element Method. J Fail. Anal. and Preven. 10, 531–539 (2010). https://doi.org/10.1007/s11668-010-9395-y
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11668-010-9395-y