Abstract
Protective residual stresses may be developed in the near surface layers of tribological contacts which enable loads sufficiently large to cause initial plastic deformation to be accommodated purely elastically in the longer term. This is the process of shakedown and, although the underlying principles can be demonstrated by reference to relatively simple stress systems, the situation is complex under a moving Hertzian pressure distribution. Bounding theorems can be used to generate appropriate load or shakedown limits not only for uniform half-spaces but also those with plastic and/or elastic properties which vary with depth. In this way, shakedown maps, which delineate the boundaries between potentially safe and unsafe operating conditions, can be generated for both hardened and coated surfaces.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. A. Slack, R.A. Tanzilli, R. O. Pohl, and J. W. Vandersande, J. Phys. Chem. Solids 48, 641–647 (1987).
K. Watari, Y. Seki, and K. Ishizaki, J. Ceram. Soc. Jpn. 97, 174–181 (1989).
G. A. Slack and I. C. Huseby, J. Appl. Phys. 53, 6817–6822 (1982).
K. Watari, K. Hirao, M. Toriyama, K. Ishizaki, S. Cao, and K. Mori, unpublished.
M. Kuriyama, Y. Inomata, T. Kijima, and Y. Hasegawa, Am. Ceram. Soc. Bull. 57, 1119–1122 (1978).
K. Tsukuma, M. Shimada, and M. Koizumi, Am. Ceram. Soc. Bull. 60, 910–912 (1981).
G. Ziegler and D. P. Hasselman, J. Mater. Sci. 16, 495–503 (1981).
K. Watari, Y. Seki, and K. Ishizaki, J. Ceram. Soc. Jpn. 97, 56–62 (1989).
K. Hayashi, S. Tsujimoto, T. Nishikawa, and Y. Imamura, J. Ceram. Soc. Jpn. 94, 595–600 (1986).
C. W. Li, J. Yamanis, P. J. Whalen, C. J. Gasdaska, and C. P. Ballard, in Pressure Effects on Materials Processing and Design, edited by K. Ishizaki, E. Hodge, and M. Concannon (Mater. Res. Soc. Symp. Proc. 251, Pittsburgh, PA, 1992), pp. 103–111.
N. Hirosaki, Y. Okamoto, M. Ando, F. Munakata, and Y. Akimune, J. Ceram. Soc. Jpn. 104, 49–53 (1996).
K. Hirao, K. Watari, M. E. Brito, M. Toriyama, and S. Kanzaki, J. Am. Ceram. Soc. 79, 2485–2488 (1996).
J. M. Ziman, in Electrons and Phonons (Oxford University Press, London, 1960), Chap. VIII.
M. E. Brito, K. Hirao, K. Watari, and S. Kanzaki, presented at 1996 Annual Meeting & Exposition of American Ceramics Society (Paper No., SVII-40-96), Indianapolis, IN, April 14–17, 1996.
M. E. Brito, K. Hirao, K. Watari, M. Toriyama, and S. Kanzaki, unpublished.
C. Greskovich and S. Prochazka, J. Am. Ceram. Soc. 64, C96–C97 (1981).
M. Mitomo and S. Uenosono, J. Mater. Sci. 26, 3940–3944 (1991).
Y. Sakashita, C. Manabe, K. Muramatsu, S. Kobune, T. Fujikawa, and T. Kanda, in Proc. 2nd Int. Conf. on Hot Isostatic Pressing— Theory and Application (ASM INTERNATIONAL, Gaithersburg, MD, 1989).
F. Munakata, C. Sato, N. Hirosaki, M. Tanimura, Y. Akimune, Y. Okamoto, and Y. Inoue, J. Ceram. Soc. Jpn. 105, 858–861 (1997).
K. Hirao A. Tsuge, M. E. Brito, and S. Kanzaki, J. Ceram. Soc. Jpn. 101, 1071–1073 (1993).
H. Abe et al., in Engineering Ceramics (Gihou-dou, Tokyo, 1984), in Chap. 2.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Williams, J.A., Dyson, I.N. & Kapoor, A. Repeated Loading, Residual Stresses, Shakedown, and Tribology. Journal of Materials Research 14, 15 (1999). https://doi.org/10.1557/JMR.1999.0208
Received:
Accepted:
Published:
DOI: https://doi.org/10.1557/JMR.1999.0208