Abstract
The finite-element method is used to model the elastic-plastic indentation response of a flat extensive specimen for the case of a spherical indenter. The work highlights several interesting finite-element modelling techniques and provides insight into the physical processes involved in elastic-plastic indentation of certain structural ceramics. Full details of the stress distribution are given and compared with the results of elastic formulae. This work has particular application to the modelling of physical phenomena of deformation in ceramic materials in machining, wear, bearings and hardness testing.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. HERTZ, J. Reine Angew. Math. 92 (1881) 156.
Idem., in "Hertz's miscellaneous papers' Macmillan, London, 1896) Chapter 5. (translation and reprint in English of [1]).
F. AUERBACH, Ann. Phys. Chem. (Leipzig) 43 (1891) 61.
Idem., in “Miscellaneous documents of the House of Representatives for the First Session of the Fifty-Second Congress”, Vol. 43 (1891–1892) (Government Printing Office, Washington DC) p. 207.
R. HILL, E. H. LEE and S. J. TUPPER, Proc. R. Soc. A 188 (1947) 273.
R. HILL, “The mathematical theory of plasticity” (Clarendon, Oxford, 1950).
D. M. MARSH, Proc. R. Soc. A 279 (1964) 420.
L. E. SAMUELS and T. O. MULHEARN, J. Mech. Phys. Solids 5 (1957) 125.
T. O. MULHEARN, ibid. 7 (1959) 85.
K. L. JOHNSON, J. ibid. 18 (1970) 115.
M. C. SHAW and D. J. DESALVO, Trans. ASME 92 (1970) 469.
Idem., ibid. 92 (1970) 480.
M. V. SWAIN and J. T. HAGAN, J. Phys. D 9 (1976) 2201.
C. M. PERROTT, Wear 45 (1977) 293.
S. S. CHIANG, D. B. MARSHALL and A. G. EVANS, J. Appl. Phys. 53 (1982) 298.
Idem., ibid. 53 (1982) 312.
K. L. JOHNSON, “Contact mechanics” (Cambridge University Press, Cambridge, 1985).
D. G. GROSSMAN, J. Amer. Ceram. Soc. 55 (1972) 446.
H. CAI, M. A. STEVENS KALCEFF and B. R. LAWN, J. Mater. Res. 9 (1994) 762.
A. C. FISCHER-CRIPPS, J. Mater. Sci. (1996) in press.
M. BARQUINS and D. MAUGIS, J. Mec. Theori. Appl. 1 (1982) 331.
K. W. MAN, “Contact mechanics using boundary elements” (Computational Mechanics Publications, Southampton, Hants., 1994).
O. C. ZIENKIEWICZ and Y. K. CHEUNG, “The finite element method in structural and continuum mechanics” (McGraw-Hill, London, 1967).
S. R. WILLIAMS, “Hardness and hardness measurements” (American Society for Metals, Cleveland, OH, 1942).
C. HARDY, C. N. BARONET and G. V. TORDION, Int. J. Numer. Methods Engng 3 (1971) 451.
P. S. FOLLANSBEE and G. B. SINCLAIR, Int. J. Solids Struct. 20 (1981) 81.
R. HILL, B. STORAKERS and A. B. ZDUNEK, Proc. R. Soc. A 423 (1989) 301.
K. KOMVOPOULOS, Trans. ASME 111 (1988) 477.
Idem. ibid. 111 (1989) 430.
A. C. FISCHER-CRIPPS and R. E. COLLINS, J. Mater. Sci. 29 (1994) 2216
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
CARE, G., FISCHER-CRIPPS, A.C. Elastic-plastic indentation stress fieldsusing the finite-element method. Journal of Materials Science 32, 5653–5659 (1997). https://doi.org/10.1023/A:1018697129303
Published:
Issue Date:
DOI: https://doi.org/10.1023/A:1018697129303