Abstract
Using a new multidimensional contact mechanics system, the normal and tangential elastic contact stiffnesses of six bulk materials with Poisson’s ratios ranging from 0.17 to 0.42 were measured. It is shown that the experimentally measured tangential to normal stiffness ratio can be described as a function of the bulk Poisson’s ratio of the material as predicted by Mindlin. The technique shows a high sensitivity to variations in Poisson’s ratio, suggesting that the technique is a viable means for measuring the Poisson’s ratio of new novel materials. The technique was subsequently applied to two metal film–glass substrate systems. Experimental observations indicate that even when Poisson’s ratio mismatch between the film and the substrate is large, the technique yields appropriate bulk values for the Poisson’s ratio of the film. The experimental details and apparatus are introduced and described.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K.L. Johnson, Contact Mechanics, 4th ed. (Cambridge University Press, Cambridge, U.K., 1985), p. 1, 211–219.
J-L. Loubet, J.M. Georges, J.M. Marchesinin, and G. Meille, J. Tribology 106, 43 (1984).
M.F. Doerner and W.D. Nix, J. Mater. Res. 1, 601 (1986).
W.C. Oliver and G.M. Pharr, J. Mater. Res. 7, 1564 (1992).
R.D. Mindlin, Trans. ASME, Series E, J. Appl. Mech. 16, 259 (1949).
Miscellaneous Papers by H. Hertz, edited by Jones (Macmillan, London, U.K., 1896).
J.B. Pethica and W.C. Oliver, in Thin Films: Stresses and Mechanical Properties, edited by J.C. Bravman, W.D. Nix, D.M. Barnett, and D.A. Smith (Mater. Res. Soc. Symp. Proc. 130, Pittsburgh, PA, 1989), pp. 13–23.
J.L. Loubet, M. Bauer, A. Tonck, S. Bec, and B. Gauthier-Manual, in Mechanical Properties and Deformation Behavior of Materials Having Ultra-Fin Microstructures, edited by M. Nastasi, D.M. Parkin, and H. Gleiter, NATO ASI Series E: Applied Sciences (Kluwer Academic, Dardrecht, The Netherlands, 1992), Vol. 233, pp. 429–447.
J.L. Loubet, B.N. Lucas, and W.C. Oliver, Conference Proceedings: International Workshop on Instrumented Indentation, edited by D.T. Smith, NIST Spec. Publ., Vol. 896 (1995), pp. 31–34.
B.N. Lucas, Ph.D. Thesis, The University of Tennessee, Knoxville, TN (1997).
T.Y. Tsui, W.C. Oliver, and G.M. Pharr, in Thin Films: Stresses and Mechanical Properties VI, edited by W.W. Gerberich, H. Gao, J-E. Sundgren, and S.P. Baker (Mater. Res. Soc. Symp. Proc. 436, Pittsburgh, PA, 1997), pp. 207–212.
R.W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, 2nd ed. (John Wiley & Sons, New York, 1983), p. 8
T.H. Courtney, Mechanical Behavior of Materials, 1st ed. (McGraw-Hill, New York, 1990), p. 48.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lucas, B.N., Hay, J.C. & Oliver, W.C. Using multidimensional contact mechanics experiments to measure Poisson’s ratio. Journal of Materials Research 19, 58–65 (2004). https://doi.org/10.1557/jmr.2004.19.1.58
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1557/jmr.2004.19.1.58