Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-29T07:06:23.160Z Has data issue: false hasContentIssue false

Determination of the thickness of titanium films on glass substrate by nanoindentation tests

Published online by Cambridge University Press:  11 February 2011

Tao Wen
Affiliation:
School of Engineering and Technology, China University of Geosciences at Beijing, Beijing 100084, People’s Republic of China; and State Key Laboratory of New Ceramics and Fine Processing, Department of Materials Science and Engineering, Tsinghua University, Beijing 100084, People’s Republic of China
Jianghong Gong
Affiliation:
State Key Laboratory of New Ceramics and Fine Processing, Department of Materials Science and Engineering, Tsinghua University, Beijing 100084, People’s Republic of China
Zhijian Peng*
Affiliation:
School of Engineering and Technology, China University of Geosciences at Beijing, Beijing 100084, People’s Republic of China
Danyu Jiang
Affiliation:
Shanghai Institute of Ceramics, Chinese Academy of Sciences, Shanghai 200050, People’s Republic of China
Chengbiao Wang
Affiliation:
School of Engineering and Technology, China University of Geosciences at Beijing, Beijing 100084, People’s Republic of China
Zhiqiang Fu
Affiliation:
School of Engineering and Technology, China University of Geosciences at Beijing, Beijing 100084, People’s Republic of China
Hezhuo Miao*
Affiliation:
State Key Laboratory of New Ceramics and Fine Processing, Department of Materials Science and Engineering, Tsinghua University, Beijing 100084, People’s Republic of China
*
a)Address all correspondence to this author. e-mail: pengzhijian@cugb.edu.cn
Get access

Abstract

We reported a simple and convenient method to determine the film thickness by nanoindentation tests. This method starts from the analysis of the unloading portion of the measured nanoindentation load-displacement curves according to a quadratic polynomial, P = α(hhf)2P0, where P is the indentation load, P0 is the virtual load used to consider the effect of the residual contact stress, h is the indenter displacement (penetration depth), hf is the final displacement after complete unloading which should be determined by curve fitting, and α is a constant. Then the best-fit value of the parameter P0 is plotted as a function of the maximum penetration depth, hmax. Such a P0 versus hmax curve may pass through a minimum, and hmax corresponding to this minimum would be equal to the film thickness value.

Type
Materials Communications
Copyright
Copyright © Materials Research Society 2011

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

1.Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic-modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
2.Zeng, K., Söderlund, E., Giannakopoulos, A.E., and Rowcliffe, D.J.: Controlled indentation: A general approach to determine mechanical properties of brittle materials. Acta Mater. 44, 1127 (1996).CrossRefGoogle Scholar
3.Sakai, M., Shimizu, S., and Ishikawa, T.: The indentation load-depth curve of ceramics. J. Mater. Res. 14, 1471 (1999).CrossRefGoogle Scholar
4.Fischer-Cripps, A.C.: A review of analysis methods for sub-micron indentation testing. Vacuum 58, 569 (2000).CrossRefGoogle Scholar
5.Chowdhury, S. and Laugier, M.T.: The use of non-contact AFM with nanoindentation techniques for measuring mechanical properties of carbon nitride thin films. Appl. Surf. Sci. 233, 219 (2004).CrossRefGoogle Scholar
6.Woirgard, J. and Dargenton, J.C.: An alternative method for penetration depth determination in nanoindentation measurements. J. Mater. Res. 12, 2455 (1997).CrossRefGoogle Scholar
7.Martin, M. and Troyon, M.: Fundamental relations used in nanoindentation: Critical examination based on experimental measurements. J. Mater. Res. 17, 2227 (2002).CrossRefGoogle Scholar
8.Pharr, G.M. and Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).CrossRefGoogle Scholar
9.Gong, J.H., Miao, H.Z., and Peng, Z.J.: Analysis of the nanoindentation data measured with a Berkovich indenter for brittle materials: Effect of the residual contact stress. Acta Mater. 52, 785 (2004).CrossRefGoogle Scholar