Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-25T13:55:09.075Z Has data issue: false hasContentIssue false

Similarity Relationships in Creep Contacts and Applications in Nanoindentation Tests

Published online by Cambridge University Press:  31 January 2011

Jinhaeng Lee
Affiliation:
jhlee.sg@gmail.com, University of Tennessee, Materials Science and Engineering, Knoxville, Tennessee, United States
Cong Zhou
Affiliation:
czhou3@utk.edu, University of Tennessee, Materials Science and Engineering, Knoxville, Tennessee, United States
Caijun Su
Affiliation:
csu2@utk.edu, University of Tennessee, Materials Science and Engineering, Knoxville, Tennessee, United States
Yanfei Gao
Affiliation:
ygao7@utk.edu, University of Tennessee, Materials Science and Engineering, Knoxville, Tennessee, United States
George Pharr
Affiliation:
pharr@utk.edu, University of Tennessee, Materials Science and Engineering, Knoxville, Tennessee, United States
Get access

Abstract

The study of indentation responses of rate-dependent (viscoplastic or creeping) solids has generally focused on the relationship between indentation hardness and an effective strain rate, which can be defined from a similarity transformation of the governing equations. The strain rate sensitivity exponent can be determined from the slope of a log-log plot of the hardness versus effective strain rate, while determining other constitutive parameters requires a knowledge of the relationship between contact size, shape, and indentation depth. In this work, finite element simulations have shown that the effects of non-axisymmetric contact and crystallography are generally negligible. Theoretical predictions agree well with real nanoindentation measurements on amorphous selenium when tested above glass transition temperature, but deviate quite significantly for experiments on high-purity indium, coarse-grained aluminum, and nanocrystalline nickel. Such a discrepancy is likely to result from the transient creep behavior.

Type
Research Article
Copyright
Copyright © Materials Research Society 2010

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 Oliver, W.C. and Pharr, G.M., J. Mater. Res. 7, 1564 (1992).Google Scholar
2 Oliver, W.C. and Pharr, G.M., J. Mater. Res. 19, 3 (2004).Google Scholar
3 Gao, Y.F. and Pharr, G.M., Scripta Mater. 57, 13 (2007).Google Scholar
4 Gao, Y.F., Xu, H.T., Oliver, W.C., and Pharr, G.M., J. Mech. Phys. Solids 56, 402 (2008).Google Scholar
5 Mayo, M.J. and Nix, W.D., Acta Metall. 36, 2183 (1988).Google Scholar
6 Bower, A.F., Fleck, N.A., Needleman, A., and Ogbonna, N., Proc R Soc London A 441, 97 (1993).Google Scholar
7 Poisl, W.H., Oliver, W.C., and Fabes, B.D., J. Mater. Res. 10, 2024 (1995).Google Scholar
8 Lucas, B.N. and Oliver, W.C., Metall. Mater. Trans. A 30, 601 (1999).Google Scholar
9 LaManna, J.A., PhD Thesis, University of Tennessee (2006).Google Scholar
10 Sohn, S.J., PhD Thesis, University of Tennessee (2007).Google Scholar
11 Liu, F.X., Gao, Y.F., and Liaw, P.K., Metall. Mater. Trans. A 39, 1862 (2008).Google Scholar
12 Huang, Y., Mech. Rep. 178, Division of Applied Science, Harvard University (1991).Google Scholar
13 Kysar, J.W., J. Mech. Phys. Solids 49, 10991128 (2001).Google Scholar
14 Su, C.J., et al., unpublished experimental results (2009).Google Scholar
15 Wang, C. L., Lai, Y.H., Huang, J.C., and Nieh, T.G., Scripta Mater, 62, 175 (2010).Google Scholar
16 Ogbonna, N., Fleck, N.A., Cocks, A.C.F., Int. J. Mech. Sci., 37, 1179 (1995).Google Scholar