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Substrate-affected indentation contact parameters of elastoplastic coating/substrate composites

Published online by Cambridge University Press:  31 January 2011

Mototsugu Sakai
Mototsugu Sakai*
Affiliation:
Department of Materials Science, Toyohashi University of Technology, Tempaku-cho, Toyohashi 441-8580, Japan
*
a) Address all correspondence to this author. e-mail: [email protected]This author was an editor of this focus issue during the review and decision stage. For the JMR policy on review and publication of manuscripts authored by editors, please refer to http://www.mrs.org/jmr-policy
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Abstract

In coating/substrate bilayer systems, the indentation contact behavior transitionally varies from coatinglike to substratelike behaviors. Spatial confinement effects of the substrate induce very complicated plastic flows in the coating beneath the indenter, leading to a crucial difficulty that is not accounted for by any of the present quantitative analytical/theoretical predictions for the substrate-affected contact hardness. In this work, the author presents finite-element-based studies on the elastoplastic indentation contact mechanics of coating/substrate systems. The effect of the substrate is taken into account by introducing the spatially variable elastic modulus and the yield stress; this approach quantitatively describes the substrate-affected stress/strain field in the spatially localized area beneath the indenter. The elastoplastic constitutive relationship of the contact hardness for semi-infinite homogeneous bulks combined with these spatially variable material characteristics are successfully applied to analytically as well as quantitatively predict the substrate-affected contact hardness of bilayer composite systems having wide ranges of elastoplastic coating/substrate characteristics. The experimental procedures for determining the elastic/plastic parameters both of the coating and the substrate are also discussed, in which the importance of the experimental determination of substrate-affected indentation contact radius/area is emphasized.

Keywords

CoatingElastic propertiesHardness
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 831 - 843
Copyright
Copyright © Materials Research Society 2009

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References

REFERENCES

1.Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
2.Bhattacharya, A.K. and Nix, W.D.: Analysis of elastic and plastic deformation associated with indentation testing of thin films on substrates. Int. J. Solids Struct. 24, 1287 (1988).CrossRefGoogle Scholar
3.Yu, H.Y., Sanday, S.C., and Rath, B.B.: The effect of substrate on the elastic properties of films determined by the indentation test—Axisymmetric Boussinesq problem. Mech. Phys. Solids 38, 745 (1990).CrossRefGoogle Scholar
4.Gao, H., Chiu, C-H., and Lee, J.: Elastic contact versus indentation modeling of multi-layered materials. Int. J. Solids Struct. 29, 2471 (1992).Google Scholar
5.Chechemin, N.G., Bøttingen, J., and Krong, J.P.: Nanoindentation of amorphous aluminum oxide film I. The influence of the substrate on the plastic properties. Thin Solid Films 261, 219 (1995).CrossRefGoogle Scholar
6.Menčík, J., Munz, D., Quandt, E., and Weppelmann, E.R.: Determination of elastic modulus of thin layers using nanoindentation. J. Mater. Res. 12, 2475 (1997).CrossRefGoogle Scholar
7.Tsui, T.Y., Vlassak, J.J., and Nix, W.D.: Indentation plastic displacement field, Part I and II. J. Mater. Res. 14, 2196 (1999).CrossRefGoogle Scholar
8.Gerberich, W.W., Strozny, A., Yoder, K., and Cheng, L-S.: Hard protective overlayers on viscoelastic-plastic substrates. J. Mater. Res. 14, 2210 (1999).CrossRefGoogle Scholar
9.Sawa, T., Akiyama, Y., Shimamoto, A., and Tanaka, K.: Nanoindentation of a 10 nm thick thin film. J. Mater. Res. 14, 2228 (1999).CrossRefGoogle Scholar
10.Lim, Y.Y., Chaudhri, M.M., and Enomoto, Y.: Accurate determination of the mechanical properties of thin aluminum films deposited on sapphire flats using nanoindentations. J. Mater. Res. 14, 2314 (1999).CrossRefGoogle Scholar
11.Malzbender, J., de With, G., and den Toonder, J.M.J.: Determination of the elastic modulus and hardness of sol-gel coatings on glass; influence of indenter geometry. Thin Solid Films 372, 134 (2000).CrossRefGoogle Scholar
12.Chen, X. and Vlassak, J.J.: Numerical study on the measurement of thin film mechanical properties by means of nanoindentation. J. Mater. Res. 16, 2974 (2000).CrossRefGoogle Scholar
13.Saha, R. and Nix, W.D.: Effect of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23 (2002).CrossRefGoogle Scholar
14.Yang, F.: Thickness effect on the indentation of an elastic layer. Mater. Sci. Eng., A 358, 226 (2003).CrossRefGoogle Scholar
15.Hsueh, C-H. and Miranda, P.: Master curves for Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 94 (2004).CrossRefGoogle Scholar
16.Hsueh, C-H. and Miranda, P.: Combined empirical-analytical method for determining contact radius and indenter displacement during Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 2774 (2004).CrossRefGoogle Scholar
17.Jung, Y-G., Lawn, B.R., Martyniuk, M., Huang, H., and Hu, X.Z.: Evaluation of elastic modulus and hardness of thin films by nanoindentation. J. Mater. Res. 19, 3076 (2004).CrossRefGoogle Scholar
18.Xu, Z-H. and Rowcliffe, D.: Finite element analysis of substrate effects on indentation behavior of thin films. Thin Solid Films 447–448, 399 (2004).CrossRefGoogle Scholar
19.Zhang, C.Y., Zhang, Y.W., and Zeng, K.Y.: Extracting the mechanical properties of a viscoelastic polymeric film on a hard elastic substrate. J. Mater. Res. 19, 3053 (2004).CrossRefGoogle Scholar
20.Sakai, M., Zhang, J., and Matsuda, A.: Elastic deformation of coating/substrate composite in axisymmetric indentation. J. Mater. Res. 20, 2173 (2005).CrossRefGoogle Scholar
21.Sakai, M., Sasaki, M., and Matsuda, A.: Indentation stress relaxation of sol-gel-derived organic/inorganic hybrid coating. Acta Mater. 53, 4455 (2005).CrossRefGoogle Scholar
22.Sakai, M.: Elastic and viscoelastic contact mechanics of coating/substrate composites in axisymmetric indentation. Philos. Mag. A 86, 5607 (2006).CrossRefGoogle Scholar
23.Han, S.M., Saha, R., and Nix, W.D.: Determining hardness of thin films in elastically mismatched film-on-substrate systems using nanoindentation. Acta Mater. 54, 1571 (2006).CrossRefGoogle Scholar
24.Pelletier, H., Krier, J., and Mille, P.: Characterization of mechanical properties of thin films using nanoindentation test. Mech. Mater. 38, 1182 (2006).CrossRefGoogle Scholar
25.Shimizu, S., Yanagimoto, T., and Sakai, M.: The pyramidal indentation load-depth curve of viscoelastic materials. J. Mater. Res. 14, 4075 (1999).CrossRefGoogle Scholar
26.Sakai, M. and Shimizu, S.: Indentation rheometry for glass forming materials. J. Non-Cryst. Solids 282, 236 (2001).CrossRefGoogle Scholar
27.Sakai, M.: Time-dependent viscoelastic relation between load and penetration for an axisymmetric indenter. Philos. Mag. A 82, 1841 (2002).CrossRefGoogle Scholar
28.Sakai, M., Shimizu, S., and Ito, S.: Viscoelastic indentation of silicate glasses. J. Am. Ceram. Soc. 85, 1210 (2002).CrossRefGoogle Scholar
29.Sakai, M.: The Meyer hardness; A measure for plasticity? J. Mater. Res. 14, 3630 (1999).CrossRefGoogle Scholar
30.Johnson, K.L.: Contact Mechanics, Chap. 6 (Cambridge University Press, Cambridge, UK, 1985).CrossRefGoogle Scholar
31.ANSYS Academic Research, Release V. 10.0, ANSYS Inc. Canonsburg, PA.Google Scholar
32.Sakai, M., Akatsu, T., Numata, S., and Matsuda, K.: Linear strain hardening in elastoplastic indentation contact. J. Mater. Res. 18, 2087 (2003).CrossRefGoogle Scholar
33.Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).CrossRefGoogle Scholar
34.Maugis, D.: Contact, Adhesion and Rupture of Elastic Solids, Chap. 4 (Springer, Berlin, Germany, 2000).CrossRefGoogle Scholar
35.Hay, J.C., Bolshakov, A., and Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1993).CrossRefGoogle Scholar
36.Sakai, M.: Energy principle of the indentation induced inelastic surface deformation and hardness of brittle ceramics. Acta Metall. Mater. 41, 1751 (1993).CrossRefGoogle Scholar
37.Miyajima, T. and Sakai, M.: Optical indentation microscope—A new family of instrumented indentation testing. Philos. Mag. A 80, 5729 (2006).CrossRefGoogle Scholar
38.Sakai, M., Hakiri, N., and Miyajima, T.: Instrumented indentation microscope: A powerful tool for the mechanical characterization in microscales. J. Mater. Res. 21, 2298 (2006).CrossRefGoogle Scholar
39.Pelletier, C.G.N., den Toonder, J.M.J., Govaert, L.E., Hakiri, N., and Sakai, M.: Quantitative assessment and prediction of the contact area developed during spherical tip indentation of glassy polymers. Philos. Mag. 88, 1291 (2008).CrossRefGoogle Scholar
40.Hakiri, N., Matsuda, A., and Sakai, M.: Instrumented indentation microscope applied to elastoplastic indentation contact mechanics of film/substrate composites. J. Mater. Res. (submitted).Google Scholar