Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T00:52:39.493Z Has data issue: false hasContentIssue false

A simple predictive model for spherical indentation

Published online by Cambridge University Press:  31 January 2011

J.S. Field
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales, 2056, Australia
M.V. Swain
Affiliation:
CSIRO Division of Applied Physics, Lindfield, New South Wales, 2070, Australia
Get access

Abstract

A simple model is described with which the entire force versus penetration behavior of indentation with a sphere, during loading and unloading, may be simulated from knowledge of the four test material parameters, Young's modulus, Poisson's ratio, flow stress at the onset of full plastic flow and strain hardening index, and the elastic properties of the indenter. The underlying mechanisms are discussed and the predictions of the model are compared with data produced by an ultra low load, penetration measuring instrument.

Type
Articles
Copyright
Copyright © Materials Research Society 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Bell, T. J.Bendeli, A.Field, J. S.Swain, M. V. and Thwaite, E. G.Metrologia 28, 463 (1991/1992).CrossRefGoogle Scholar
2Hill, R.Lee, E.H. and Tupper, S.J.Proc. R. Soc. A 188, 273 (1947).Google Scholar
3Samuels, L. E. in Microindentation in Metals, Microindentation Techniques in Materials Science and Engineering, edited by Blau, P. J. and Lawn, B.R. (ASTM Special Technical Publication, 1985), p. 889.Google Scholar
4Shaw, M. C. and DeSalvo, G.J.Trans. Am. Soc. Mech. Eng., Series B 92, 480 (1970).Google Scholar
5Mulhearn, T. O.J. Mech. and Phys. of Solids 7, 85 (1959).CrossRefGoogle Scholar
6Francis, H. A. Trans, of the ASME, July 272 (1976).CrossRefGoogle Scholar
7Follansbee, P. S. and Sinclair, G. B.Int. J. Solids and Structures 20, 172 (1981).Google Scholar
8Johnson, K. L.Contact Mechanics (Cambridge University Press, 1985).CrossRefGoogle Scholar
9Sneddon, I. N.Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
10Tabor, D.Hardness of Solids (Oxford University Press, 1951).Google Scholar
11Goodman, L. E. and Keer, L. M.Int. J. Solids and Structures I 407, 117 (1965).Google Scholar
12Love, A. E. H.A Treatise on the Mathematical Theory of Elasticity, 4th ed. (Cambridge University Press).Google Scholar
13Puttock, M. J. and Thwaite, E.G.Elastic Compression of Spheres and Cylinders at Point and Line Contact, National Standards Laboratory Technical Paper No. 25 (Commonwealth Scientific and Industrial Research Organization, Australia, 1969).Google Scholar
14Nadai, A.I.Theory of Flow and Fracture of Solids (McGraw-Hill, New York, 1963), Vol. 2, p. 221.Google Scholar
15Meyer, E.Z. Ver Deutch Ing. 52, 645 (1908).Google Scholar
16Sinnott, M.V.The Solid State for Engineers (John Wiley and Sons Inc., New York, 1961).Google Scholar
17The Properties of Diamond, edited by Field, J. E. (Academic Press, London, 1979).Google Scholar
18Guy, A. G. and Hren, J. J.Elements of Physical Metallurgy, 3rd ed. (Addison-Wesley Pub. Co., Reading, MA, 1974), p. 138.Google Scholar
19Mott, B.W.Microhardness Indentation Hardness Testing (Butterworths, London, 1956).Google Scholar
20LaFontaine, W. R.Yost, B. and Li, Che-Yu, J. Mater. Res. 5, 776 (1990).Google Scholar