Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T00:52:14.740Z Has data issue: false hasContentIssue false

The use of shape correction factors for elastic indentation measurements

Published online by Cambridge University Press:  03 March 2011

B.C. Hendrix
Affiliation:
National Laboratory for Mechanical Behavior of Metallic Materials, Xi'an Jiaotong University, Xi'an, Shaanxi, 710049, People's Republic of China
Get access

Abstract

Elastic properties of small volumes of materials can be measured from the unloading of small indentations using the so-called nanoindenters The analytic elastic solutions for axisymmetric indenters are currently used to calculate modulus from the unloading curve, sometimes using corrections derived for flat, rigid punches. It is shown that these corrections represent an upper limit for the correction. More realistic corrections are derived for the Vickers, Berkovich, and Knoop indenter shapes, using the assumption of a uniformly loaded area. Results show that the axisymmetric solution overestimates the elastic compliance of the Vickers indenter by a factor of 1.0055, of the Berkovich indenter by a factor of 1.0226, and of the Knoop indenter by a factor of 2.682.

Type
Rapid Communication
Copyright
Copyright © Materials Research Society 1995

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

1Oliver, W. C. and Pharr, G. M., J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
2Pharr, G. M., Oliver, W. C., and Brotzen, F. R., J. Mater. Res. 7, 613 (1992).CrossRefGoogle Scholar
3Nix, W. D., Metall. Trans. 20A, 1989 (1988).Google Scholar
4King, R. B., Int. J. Solids Structures 23, 1657 (1987).CrossRefGoogle Scholar
5Timoshenko, S. P. and Goodier, J. N., Theory of Elasticity, 3rd ed. (McGraw-Hill, New York, 1970), pp. 380420.Google Scholar