Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-04-30T20:39:38.969Z Has data issue: false hasContentIssue false

An Improvement of the Doerner-Nix Function for Substrate Effects in Ultrathin Films

Published online by Cambridge University Press:  01 February 2011

BO Zhou
Affiliation:
prorok@auburn.edu, Auburn University, Materials Engineering, 275 Wilmore Lab, Auburn, AL, 36849-5341, United States, 334-844-4733
Barton C Prorok
Affiliation:
prorok@auburn.edu, Auburn University, Auburn, AL, 36849-5341, United States
Get access

Abstract

Substrate effects continue to be the key issue in interrogating thin films by nanoindentation. In this study, we studies amorphous thin films of several different materials deposited onto a silicon wafer. These materials span from being considerable softer than the substrate to films significantly harder than the substrate. The thin film Young's modulus Ef was measured with a MTS Nanoindenter XP system using the continuous stiffness measurement (CSM). The so-called “flat region” was observed in the early stage of nearly every CSM modulus-displacement curve for all materials studied. The depth of this region (hcr) was found to vary with the material. Based on the experimental data, we were able to modify the Doerner & Nix model for thin film indentation on a substrate, particularly their parameter alpha (α). The modified relation was found to be adept at closely matching all experimental data collected, which spanned both soft films on hard substrates and hard films on soft substrates.

Type
Research Article
Copyright
Copyright © Materials Research Society 2008

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 Pharr, G.M., Instrumented Indentation Testing, in ASM Handbook. 2000. pp. 232243.Google Scholar
2 Buckle, H., “The science of hardness testing and its research applications.” ASM, Metals Park, OH, 1973 Google Scholar
3 Loubet, J.L., Georges, J.M., Marchesini, O., and Meille, G., J. Tribology (Trans. ASME), Vol 106 43 (1984)Google Scholar
4 Pharr, G., Oliver, W.C. Mater. Res. Soc. Bull. 17 28 (1992)Google Scholar
5 Prorok, B.C., Micro-and Nanomechanics, Encyclopedia Nanonsci. & Nanotech. V5 555-600Google Scholar
6 Pethica, J.B., Hutchings, R., Oliver, W.C., Philos. Mag. A 48 593 (1983)Google Scholar
7 Jiang, X., Zou, J. W., Reichelt, K., Grunberg, P., J. Appl. Phys. 66 4729 (1989)Google Scholar
8 Pharr, G.M., Callahan, D.L., Robertson, J., et al., Appl. Phys. Lett. 68 779 (1996)Google Scholar
9 Bulychev, S.I., Alekhin, V.P., Shorshorov, M.Kh., Ternovskii, A.P., and Shnyrev, G.D., Zavod. Lab., Vol 41 (No. 9), 11371140 (1975)Google Scholar
10 Frohlich, F., Grau, P., and Grellmann, W., Phys. Status Solidi (a), Vol 42, 7989 (1977)Google Scholar
11 Shorshorov, M. Kh., Bulychev, S.I., and Alekhin, V.P., Sov. Phys. Dokl., Vol 26 (No. 8), 769771 (1982)Google Scholar
12 Pethica, J.B., Hutchings, R., and Oliver, W.C., Philos. Mag. A, Vol 48 (No. 4), 593606 (1983)Google Scholar
13 Oliver, W.C., MRS Bull., Vol 11 (No. 5), 1519 (1986)Google Scholar
14 Pollock, H.M., Maugis, D., and Barquins, M., ASTM, 4771 (1986)Google Scholar
15 Nix, W.D., Metall. Trans. A, Vol 20, 22172245 (1989)Google Scholar
16 Doerner, M.F. and Nix, W.D., J. Mater. Res., Vol 1, 601609 (1986)Google Scholar
17 King, R.B., Int. J. Solids Structures 23, 16571664 (1987)Google Scholar
18 Saha, R. and Nix, W.D., Acta Mater. 50, 23 (2002)Google Scholar
19 Gao, H., Chiu, C.H., and Lee, J., Int. J. Solids Structures 29, 24712492 (1992)Google Scholar
20 Mencik, J., Munz, D., Quant, E., and Weppelmann, E.R., J. Mater. Res. Vol. 12, No. 9, 1997 Google Scholar