The Correlation between Hardness and Yield Strength of Hard Materials


Article Preview

The correlation between hardness, H, and yield strength, Y, for hard materials is reexamined using an analytical approach to provide a physical interpretation, which explains the trends observed. Existing analytical predictions using the analogy of the spherical cavity fail to reproduce experimental and finite element results because the accommodation of the intrusion of the indenter due to surface deformation is not taken into account, while experiments made here and elsewhere indicate that the latter can be substantial. A simple modification is proposed, which accounts for this, and allows for a reasonable prediction of the relation between hardness and yield strength for materials, which have a well determined yield point and do not strain harden. The treatment also allows explaining the effect of indenter geometry on measured hardness for such materials.



Materials Science Forum (Volumes 492-493)

Edited by:

Omer Van der Biest, Michael Gasik, Jozef Vleugels




L. Vandeperre and W.J. Clegg, "The Correlation between Hardness and Yield Strength of Hard Materials ", Materials Science Forum, Vols. 492-493, pp. 555-560, 2005

Online since:

August 2005




[1] D. Tabor, Br. J. Appl. Phys. Vol. 7 (1956), p.159.

[2] D.M. Marsh, Proc. R. Soc. A Vol. 279 (1963), p.420.

[3] Y.T. Cheng and Z. Li, J. Mat. Res. Vol 15 (12) (2000), p.2830.

[4] R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford 1950).

[5] K.L. Johnson, J. Mech. Phys. Solids Vol. 18 (1970), p.115.

[6] I.N. Sneddon, Proc. Cambridge Phil. Soc. Vol. 44 (1948), p.492.

[7] S.S. Chiang, D.B. Marshall and A.G. Evans, J. Appl. Phys. Vol. 53 (1) (1982), p.298.

[8] A.C. Fischer-Cripps, Surface & Coatings Technology Vol. 168 (2-3) (2003), p.136.

[9] T.O. Mulhearn, J. Mech. Phys. Solids Vol. 7 (1959). p.85.

[10] L.E. Samuels and T.O. Mulhearn, J. Mech. Phys. Solids Vol. 5 (1957), p.125.

[11] A.P. Singh and K.A. Padmanabhan, Journal of Materials Science Vol. 26 (20) (1991), p.5481.

[12] A.G. Atkins and D. Tabor, J. Mech. Phys. Solids Vol. 13 (1965), p.149.

[13] Y.T. Cheng and C.M. Cheng, J. Appl. Phys. Vol. 84 (3) (1998), p.1284.

[14] W.C. Oliver and G.M. Pharr, J. Mater. Res. Vol. 7 (6) (1992), p.1564.

[15] W. Hirst and G.J.W. Howse, Proc. Roy. Soc. Vol. A311 (1969), p.429.

[16] L. Hultman et al., MRS Bulletin Vol. 28 (3) (2003), p.194.

Fetching data from Crossref.
This may take some time to load.