Abstract
An integrated analytical and experimental approach was taken to develop a fracture mechanics-based methodology for predicting the limiting threshold stress of high-cycle fretting fatigue in structural alloys. The contact stress field for two flat surfaces under fretting was analyzed via an integral equation technique. The local fretting stress field of the uncracked body was then utilized to obtain the stress intensity factor of an arbitrarily oriented fatigue crack using a continuum dislocation formulation. The limiting threshold stress ranges for the nonpropagation of fretting fatigue cracks were predicted on the basis that the fretting fatigue cracks are small cracks that exhibit a size-dependent growth threshold and propagate at stress intensity ranges below the large-crack threshold. In part I, the development of the worst-case fret (WCF) model is described. The influence of the limiting high-cycle fatigue (HCF) threshold stress on a variety of fretting fatigue parameters such as bearing pressure, pad geometry, shear stress, mode mixity, and coefficient of friction are elucidated by parametric calculations. In part II, the WCF model is applied to treating HCF of Ti-6Al-4V where model predictions are compared against critical experiments performed on a kilohertz fretting-fatigue rig.
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REFERENCES
Adibnazari, S. and Hoeppner, D.W. (1992). Wear 159, 43–46.
Alic, J.A. and Hawley, A.L. (1979). Wear 56, 377–389.
Bellows, R., Smith, P., Shepard, M. and Eylon, D. (1999). Proceedings of the 4th National Engine High Cycle Fatigue (HCF) Conference, Monterey, CA.
Campbell, J.P., Thompson, A.W. and Ritchie, R.O. (1999). Proceedings of the 4th National Turbine Engine High Cycle Fatigue (HCF) Conference, Monterey CA.
Ciavarella, M., Hills, D.A. and Monno, G. (1998). Proceedings Institution Mechancial Engineers 212, Part C, 319–328.
Cowles, B.A. (1996). International Journal of Fracture 80, 147–163.
Dai, D.N., Hills, D.A. and Nowell, D. (1994). Fretting Fatigue, ESIS 18(edited by Waterhouse, R.B. and Lindley, T.C.) Mechanical Engineering Publications, London, 59–71.
Dundurs, J. and Sendeckyj, G.P. (1965). Journal of Applied Physics 36, 3353–3354.
Edwards, R.P. (1981). Fretting Fatigue(edited by Waterhouse, R.B.) Applied Science Publishers, London, 67–97.
El Haddad, M.H., Smith, K.N. and Topper, T.H. (1979). ASME Transactions, Journal of Engineering Materials and Technology 101, 42–46.
Endo, K. and Goto, H. (1975). Wear 38, 311–324.
Erdogan, F., Gupta, G.D. and Cook, T.S. (1973). Methods of Analysis and Solutions of Crack Problems, (edited by Sih, G.C.), Noordhoff, Leiden, 368–425.
Faanes, S. and Fernando, U.S. (1994). Fretting Fatigue, ESIS 18(edited by Waterhouse, R.B. and Lindley, T.C.), Mechanical Engineering Publications, London, 149–159.
Farris, T.N. (1999). School of Aeronautics & Astronautics, Purdue University, Private Communication.
Giannakopoulos, A.E., Lindley, T.C. and Suresh, S. (1998). Acta Materialia 46, 2955–2268.
Gradshteyn, I.S. and Ryzhik, I.M. (1965). Table of Integrals Series and Products, (translated Jeffrey, A.), Academic Press, London.
Hattori, T., Nakamura, M., Sakata, H. and Watanabe, T. (1988). JSME International Journal 1, 31 1–107.
Hills, D.A. and Nowell, D. (1994). Mechancis of Fretting Fatigue, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Hills, D.A., Nowell, D. and O'Connor, J.J. (1988). Wear 125, 129–146.
Hoeppner, D.W. and Goss, G.L. (1974). Wear 27, 61–70.
Hudak, S.J. Jr, Chell, G.G., Rennick, T.S., McClung, R.C. and Davidson, D.L. (1999). Proceedings of the 4th National Turbine Engine High Cycle Fatigue Conference, Monterey CA.
Hudak, S.J. Jr., McClung, R.C., Chan, K.S., Chell, G.G. and Davidson, D.L. (1998). High Cycle Fatigue of Turbine Engine Materials, SwRI's Annual Interim Technical Report to UDRI under PRDA 95.
Hutson, A. and Nicholas, T. (1999). Proceedings of the 4th National Engine High Cycle Fatigue (HCF) Conference, Monterey, CA.
Kitagawa, H. and Takahashi, S. (1967). Proceedings of the 2nd International Conference on Mechanical Behavior of Materials, Boston, MA, 627–631.
Krenk, S. (1975). Quarterly of Applied. Mathematics 32, 479–484.
Lindley, T.C. (1997). International Journal of Fatigue 19, 539–549.
Murakami, Y. (ed.), (1981). Stress Intensity Factors Handbook 1, Pergamon Press, London, 107.
Muskhelishivili, N.I. (1953). Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen.
Mutoh, Y. (1995). JSME International Journal Series A38, 405–415.
Nakazawa, K., Sumita, M. and Maruyama, N. (1992). Standardization of Fretting Fatigue Test Methods and Equipment, ASTM STP 1159, (edited by Helini Attia, M. and Waterhouse, R.B.), American Society for Testing and Materials, Philadelphia, PA, 115–125.
Nicholas, T. and Ziuker, J.R. (1996). International Journal of Fracture 80, 219–235.
Nishioka, K. and Hirakawa, K. (1969). Bulletin of JSME 12, 180–187.
Nishioka, K. and Hirakawa, K. (1972). Proceedings of International Conference on Mechanical Behavior of Materials, Kyoto, Japan, 308–318.
Nix, K.J. and Lindley, T.C. (1985). Fatigue and Fracture of Engineering Materials and Structures 8, 143–160.
Nix, K.J. and Lindley, T.C. (1988), Wear 125, 147–162.
Nowell, D. and Araujo, J.A. (1999). Small Fatigue Cracks: Mechanics, Mechanisms, and Applications, (edited by Ravichandran, K.S., Ritchie, R.O. and Murakami, Y.), Elsevier Science, Oxford, UK, 361–372.
Nowell, D. and Hills, D.A. (1987). International Journal Mechanical Sciences 29, 355–365.
Nowell, D. and Hills, D.A. (1987). Journal of Strain Analysis 22, 177–185.
Rooke, D.P. (1994). Fretting Fatigue, ESIS 18(edited by Waterhouse, R.B. and Lindley, T.C.), Mechanical Engineering Publications, London, 23–58.
Rooke, D.P. and Jones, D.A. (1979). Journal of Strain Analysis 14, 1–6.
Ruiz, C., Boddington, P.H.B. and Chen, K.C. (1984). Experimental Mechanics 24, 208–217.
Sheikh, M.A., Fernando, U.S., Brown, M.W. and Miller, K.J.M. (1994). Fretting Fatigue, ESIS 18(edited by Waterhouse, R.B. and Lindley, T.C.), Mechanical Engineering Publications, London, 83–101.
Szolwinski, M.P. and Farris, T.N. (1996). Wear 198, 93–107.
Szolwinski, M.P., Harish, G. and Farris, T.N. (1998). Mechanical Behavior of Advanced Materials, ASME, MD, Vol. 89, 11–18.
Szolwinski, M.P., Harish, G., McVeigh, P.A. and Farris, T.N. (1999). Proceedings of the 4th National Engine High Cycle Fatigue (HCF) Conference, Monterey, CA.
Tanaka, K., Mutoh, Y., Sakada, S. and Leadbeater, G. (1985). Fatigue and Fracture of Engineering Materials and Structures 8, 129–142.
Topper, T.H. and El Haddad, M.H. (1981). Fatigue Thresholds: Fundamentals and Engineering Applications, Engineering Materials Advisory Services, Warley, UK, 777–798.
Waterhouse, R.B. (1972). Fretting Corrosion, Pergamon, Oxford, 139.
Waterhouse, R.B. (1992). International Materials Reviews 37, 77–97.
Waterhouse, R.B. (1992). Standardization of Fretting Fatigue Test Methods and Equipment, ASTM STP 1159, (edited by Helini Attia, M. and Waterhouse, R.B.), American Society for Testing and Materials, Philadelphia, PA.
Wharton, M.H., Taylor, D.E. and Waterhouse, R.B. (1973). Wear 23, 251–260.
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Chan, K.S., Lee, Yd., Davidson, D.L. et al. A fracture mechanics approach to high cycle fretting fatigue based on the worst case fret concept – I. Model development. International Journal of Fracture 112, 299–330 (2001). https://doi.org/10.1023/A:1013507425050
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DOI: https://doi.org/10.1023/A:1013507425050