Abstract
This paper proposes a new design method for predicting the finite lifetime of mechanical assemblies subjected to constant amplitude (CA) fretting fatigue loading. The proposed methodology is based on the use of the Modified Wӧhler Curve Method (MWCM) applied in conjunction with the Theory of Critical Distance (TCD) and the Shear Stress-Maximum Variance Method (τ-MVM). In more detail, this engineering approach uses the τ-MVM to calculate the stress quantities relative to the critical plane, whose orientation is determined numerically by locating the plane containing the direction experiencing the maximum variance of the resolved shear stress. To estimate the fretting fatigue lifetime, the time-variable linear elastic stress quantities are post processed according to the MWCM applied in conjunction with the TCD. The proposed approach was checked against experimental data taken from the literature and generated by testing specimens made of aluminium alloy Al 7075-T6. The extensive validation supports the idea that the MWCM applied in conjunction with both the TCD and τ-MVM can be suitable to predict the finite lifetime of mechanical assemblies subjected to fretting fatigue loading.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Jeung, H.K., Kwon, J.D., Lee, C.Y.: Crack initiation and propagation under fretting fatigue of inconel 600 alloy. J. Mech. Sci. Technol. 29(12), 5241–5244 (2015)
Nowell, D., Dini, D., Dyson, I.: The use of notch and short crack approaches to fretting fatigue threshold prediction: theory and experimental validation. Tribol. Int. 39, 1158–1165 (2006)
Taylor, D.: Geometrical effects in fatigue: a unifying theoretical model. Int. J. Fatigue 21, 413–420 (1999)
Dini, D., Nowell, D., Dyson, I.N.: Experimental validation of a short crack approach for fretting fatigue threshold prediction. In: 12th International Conference on Experimental Mechanics, Bari, Italy, 29 August–2 September 2004
Noraphaiphipaksa, L., Manonukul, A., Kanchanomai, C.: Fretting fatigue with cylindrical-on-flat contact: crack nucleation, crack path and fatigue life. MDPI 10, 1–21 (2017)
Suresh, S.: Fatigue of materials, Cambridge. Cambridge University Press, UK (1998)
Erdogan, G., Sih, G.: On the crack extension in plates under plane loading and transverse shear. ASME J. Basics Eng. 85(4), 519–527 (1963)
Araújo, J., Susmel, L., Pires, M., Castro, F.: A multiaxial stress-based critical distance methodology to estimate fretting fatigue life. Tribol. Int. 108, 2–6 (2017)
Araújo, J., Susmel, L., Taylor, D., Ferro, J., Mamiya, E.: on the use of the theory of critical distances and the modified Wӧhler curve method to estimate fretting fatigue strength of cylindrical contacts. Int. J. Fatigue 29, 95–107 (2007)
Araújo, J.A., Susmel, L., Taylor, D., Ferro, J.C.T., Ferreira, J.L.A.: On the prediction of high-cycle fretting strength: theory of critical distances vs. hot spot approach. Eng. Frac. Mech. 75, 1763–1778 (2008)
Susmel, L.: Multiaxial notch fatigue: from nominal to local stress-strain quantities. Woodhead & CRC, Cambridge (2009)
Taylor, D.: The Theory of Critical Distances: A New Perspective in Fracture Mechanics. Elsevier, Oxford (2007)
Mamiya, E.N., Araújo, J.A.: Fatigue limit under multiaxial loadings: on the definition of the equivalent shear stress. Mech. Res. Commun. 29, 141–151 (2000)
Araújo, J.A., Dantas, A.P., Castro, A.P., Mamiya, E.N., Ferreira, J.L.A.: On the characterization of the critical plane with a simple and fast alternative measure of the shear stress amplitude in multiaxial fatigue. Int. J. Fatigue 33, 1092–1100 (2011)
Araújo, J.A., Carpinteri, A., Ronchei, C., Spagnoli, A., Vantadori, S.: An alternative definition of the shear stress amplitude based on the maximum rectangular hull method and application to the C-S (Carpinteri-Spagnoli) criterion. Fatigue Fract. Eng. Mater. Struct. 37, 764–771 (2014)
Carpinteri, A., Ronchei, C., Spagnoli, A., Vantadori, S.: On the use of the Prismatic Hull method in a critical plane-based multiaxial fatigue criterion. Int. J. Fatigue 68, 159–167 (2014)
Nowell, D.: An analysis of fretting fatigue. Ph.D. thesis, University of oxford, Oxford, UK (1988)
Giannakopoulos, A.E., Lindley, T.C., Suresh, S.: Similarities of stress concentrations in contact at round punches and fatigue at notches: implications to fretting fatigue crack initiation. Fatigue Fract. Eng. Mater. Struct. 23, 561–571 (2000)
Susmel, L.: Four stress analysis strategies to use the modified Wӧhler curve method to perform the fatigue assessment of weldments subjected to constant and variable amplitude multiaxial fatigue loading. Int. J. Fatigue 67, 38–54 (2014)
Susmel, L., Tovo, R., Benasciutti, D.: A novel engineering method based on the critical plane concept to estimate lifetime of weldments subjected to variable amplitude multiaxial fatigue loading. Fatigue Fract. Eng. Mater. Struct. 32, 441–459 (2009)
Susmel, L., Lazzarin, P.: A bi-parametric modified Wӧhler curve for high cycle multiaxial fatigue assessment. Fatigue Fract. Eng. Mater. Struct. 25, 63–78 (2002)
Susmel, L.: Multiaxial fatigue limits and material sensitivity to non-zero mean stresses normal to critical planes. Fatigue Fract. Engng. Mater. Struct 31(3–4), 295–309 (2008)
Kaufman, R.P., Topper, T.: The influence of static mean stresses applied normal to the maximum shear planes in multiaxial fatigue. In: Biaxial and Multiaxial Fatigue and Fracture. Elsevier and ESIS, Oxford, pp. 123–143 (2003)
Lazzarin, P., Susmel, L.: A stress-based method to predict lifetime under multiaxial fatigue loadings. Fatigue Fract. Eng. Mater. Struct. 26, 1171–1187 (2003)
Susmel, L., Tovo, R., Lazzarin, P.: The mean stress effect on the high-cycle fatigue strength from a multiaxial point of view. Int. J. Fatigue 27, 928–943 (2005)
Susmel, L., Taylor, D.: The modified Wӧhler curve method applied along with the Theory of Critical Distances to estimate finite life of notched components subjected to complex multiaxial loading paths. Fatigue Fract. Eng. Mater. Struct. 31, 1047–1064 (2008)
Susmel, L., Taylor, D.: A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading. Int. J. Fatigue 38, 7–24 (2012)
Susmel, L., Taylor, D.: A novel formulation of the theory of critical distances to estimate lifetime of notched components in the medium-cycle fatigue regime. Fatigue Fract. Eng. Mater. Struct. 30, 567–581 (2007)
Susmel, L.: A simple and efficient numerical algorithm to determine the orientation of the critical plane in multiaxial fatigue problems. Int. J. Fatigue 32, 1875–1883 (2010)
Susmel, L., Tovo, R., Socie, D.: Estimating the orientation of stage I cracks paths through the direction of maximum variance of the resolved shear stress. Int. J. Fatigue 58, 94–101 (2014)
Wittkowsky, B.U., Birtch, P.R., Dominguez, J., Suresh, S.: An experimental investigation of fretting fatigue with spherical contact in 7075-T6 aluminum alloy. In: Hoeppner, D.W., Chandrasekaran, V., Elliott, C.B. (eds.) Fretting Fatigue: Current Technology and Practices, ASTM STP 1367, West Conshohocken, pp. 213–227 (2000)
Navarro, C., Garcia, M., Dominguez, J.: A procedure for estimating the total life in fretting fatigue. Fatigue Fract. Eng. Mater. Struct. 26(5), 459–468 (2003)
Hills, D., Nowell, D.: Mechanics of Fretting Fatigue. Kluwer Academic, Dordrecht (1994)
Hojjati-Talemi, R., Wahab, A., Pauw, J., Baets, P.: Prediction of fretting fatigue crack initiation and propagation lifetime for cylindrical contact configuration. Tribol. Int. 76, 73–91 (2014)
Juvinall, R.C., Marshek, K.M.: Fundamentals of Machine Component Design. Wiley, New York (1991)
Lee, Y.-L., Pan, J., Hathaway, R.B., Barkey, M.E.: Fatigue Testing and Analysis. Elsevier Butterworth-Heinemann, Oxford (2005)
Susmel, L.: On the estimation of the material fatigue properties required to perform the multiaxial fatigue assessment. Fatigue Fract. Eng. Mater. Struct. 36, 565–585 (2013)
Acknowledgment
We are immensely grateful to EPSRC (www.epsrc.ac.uk) and Cummins Inc. (www.cummins.com) for funding this Industrial CASE project.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Teuchou Kouanga, C.V. et al. (2019). Finite Lifetime Estimation of Mechanical Assemblies Subjected to Fretting Fatigue Loading. In: Abdel Wahab, M. (eds) Proceedings of the 7th International Conference on Fracture Fatigue and Wear. FFW 2018. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0411-8_31
Download citation
DOI: https://doi.org/10.1007/978-981-13-0411-8_31
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0410-1
Online ISBN: 978-981-13-0411-8
eBook Packages: EngineeringEngineering (R0)