Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-27T15:49:44.911Z Has data issue: false hasContentIssue false
  • English
  • Français

The Indentation Elastic Response - Indentation Shape and the Stress Distribution

Published online by Cambridge University Press:  21 February 2011

B. C. Hendrix ,
Ke-Wei Xu ,
Jun-Hai Liu  and
Jia-Wen He
B. C. Hendrix
Affiliation:
National Laboratory for Mechanical Behavior of Metallic Materials, Xi’an Jiaotong University, Xi’an 710049, China
Ke-Wei Xu
Affiliation:
National Laboratory for Mechanical Behavior of Metallic Materials, Xi’an Jiaotong University, Xi’an 710049, China
Jun-Hai Liu
Affiliation:
National Laboratory for Mechanical Behavior of Metallic Materials, Xi’an Jiaotong University, Xi’an 710049, China
Jia-Wen He
Affiliation:
National Laboratory for Mechanical Behavior of Metallic Materials, Xi’an Jiaotong University, Xi’an 710049, China
Get access

Abstract

The unloading of an indentation provides information about the shape of the indentation and the elastic properties of the materials. The assumptions of axisymmetry and material isotropy are critically examined, and a model for transversely isotropic materials is compared to measurements on single crystals. The methods used to infer the area of the indentation from the unloading curve are examined. The area is a fundamental value for the determination of hardness, modulus, and other mechanical properties in the so-called nano-indentor and other continuously monitored indentor techniques. The models of elastic recovery which are currently used are found to lack the flexibility to model the parameters which determine indentation depth. If the current self-consistent model is extended to cover the important aspects of the unloading, the area of the indentation is still not determined uniquely. Guidelines for further development of a unique model are suggested.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 356: Symposium B2 – Thin Films: Stresses and Mechanical Properties V , 1994 , 699
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

1. Pethica, J,B, Hutchings, R., and Oliver, W.C., Phil. Mag. A 48, 593 (1983).Google Scholar
2. Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7, 1564 (1992).Google Scholar
3. Pharr, G.M., Oliver, W.C., and Brotzen, F.R., J. Mater. Res. 7, 613 (1992).Google Scholar
4. King, R.B., Int. J. Solids Structures 2, 1657 (1987)Google Scholar
5. Hendrix, B.C., to be published in J. Mater Res.Google Scholar
6. Hendrix, B.C., Yu, Li-gen, and He, Jia-wen, to be published in Acta Mechanica Solida Sinica (in English).Google Scholar
7. Turner, J.R., Int. J. Solids Structures 1, 409 (1980).Google Scholar
8. Doerner, M.F. and Nix, W.D., J. Mater. Res. 1, 601 (1986).Google Scholar
9. Laursen, T.A. and Simo, J.C., J. Mater. Res. 7, 618 (1992).Google Scholar
10. Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity. 3rd ed. (McGraw Hill, New Your, 1970) pp. 380–420.Google Scholar
11. Sneddon, I.N., Int. J. Engng. Sci. 3, 47 (1965).Google Scholar
12. Field, J.S. and Swain, M.V., J. Mater. Res. 8, 297 (1993).Google Scholar
13. Francis, H.A., J. Engng. Mater. & Technol., Trans. ASME, (July, 1976) 272.Google Scholar