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Nanoindentation of Polymers with a Sharp Indenter

Published online by Cambridge University Press:  01 June 2005

C.Y. Zhang ,
Y.W. Zhang ,
K.Y. Zeng  and
L. Shen
C.Y. Zhang
Affiliation:
Department of Materials Science and Engineering, National University of Singapore, Singapore 119260, Singapore
Y.W. Zhang*
Affiliation:
Department of Materials Science and Engineering, National University of Singapore, Singapore 119260, Singapore
K.Y. Zeng
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Singapore 119260, Singapore
L. Shen
Affiliation:
Institute of Materials Research and Engineering, Singapore 117602, Singapore
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

A five-step indentation scheme is proposed to extract the elastic and viscoelastic properties of polymeric materials using a sharp indenter. In the formulation, analytical solutions to the elastic-viscoelastic deformation based on the concept of “effective indenters” proposed by both Pharr and Bolshakov [Understanding nanoindentation unloading curves. J. Mater. Res.17, 2660 (2002)] and Sakai [Elastic recovery in the unloading process of pyramidal microindentation. J. Mater. Res.18, 1631 (2003)] were derived. Indentation experiments on polymethylmethacrylate following the five-step scheme were performed. The elastic-viscoelastic parameters were extracted by fitting the solution based on Sakai’s effective indenter to the experimental results using a genetic algorithm. It was found that the solution based on Sakai's effective indenter was able to correctly extract the elastic properties. Based on this prediction and the experimental results, Pharr and Bolshakov's effective indenter profile could be determined. The extracted elastic-viscoelastic parameters using the solution based on Pharr and Bolshakov's effective indenter were independent of the reloading levels.

Keywords

Mechanical propertiesNanoindentationPolymer
Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 6 , June 2005 , pp. 1597 - 1605
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1Oliver, 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
2Cheng, L., Xia, X., Yu, W., Scriven, L.E. and Gerberich, W.W.: Flat-punch indentation of viscoelastic material. J. Polym. Sci. B 38, 10 (2000).3.0.CO;2-6>CrossRefGoogle Scholar
3Zhang, 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
4Rikards, R., Flores, A., Ania, F., Kushnevski, V. and Calleja, F.J. Baltá: Numerical- experimental method for the identification of plastic properties of polymers from microhardness tests. Comput. Mater. Sci. 11, 233 (1998).CrossRefGoogle Scholar
5Shimizu, S., Yanagimoto, T. and Sakai, M.: The pyramidal indentation load-depth curve of viscoelastic materials. J. Mater. Res. 14, 4075 (1999).CrossRefGoogle Scholar
6Bucaille, J.L., Felder, E. and Hochstetter, G.: Identification of the viscoplastic behavior of a polycarbonate based on experiments and numerical modeling of the nano-indentation test. J. Mater. Sci. 37, 3999 (2002).CrossRefGoogle Scholar
7G’Sell, C. and Jonas, J.J.: Determination of the plastic behavior of solid polymers at constant true strain rate. J. Mater. Sci. 14, 583 (1979).CrossRefGoogle Scholar
8Oyen, M.L. and Cook, R.F.: Load-displacement behavior during sharp indentation of viscous-elastic-plastic materials. J. Mater. Res. 18, 139 (2003).CrossRefGoogle Scholar
9Oyen, M.L., Cook, R.F., Emerson, J.A. and Moody, N.R.: Indentation response of time-dependent films on stiff substrates. J. Mater. Res. 19, 2487 (2004).CrossRefGoogle Scholar
10Ovaert, T.C., Kim, B.R. and Wang, J.J.: Multi-parameter models of the viscoelastic/plastic mechanical properties of coatings via combined nanoindentation and non-linear finite element modeling. Prog. Org. Coat. 47, 312 (2003).CrossRefGoogle Scholar
11Bardenhagen, S.G., Stout, M.G. and Gray, G.T.: Three-dimensional finite deformation viscoplastic constitutive models for polymeric materials. Mech. Mater. 25, 235 (1997).CrossRefGoogle Scholar
12Lu, H., Wang, B., Ma, J., Huang, G. and Viswanathan, H.: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7, 189 (2003).CrossRefGoogle Scholar
13Cheng, Y.T. and Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R 44, 91 (2004).CrossRefGoogle Scholar
14Pharr, G.M. and Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).CrossRefGoogle Scholar
15Sakai, M.: Elastic recovery in the unloading process of pyramidal microindentation. J. Mater. Res. 18, 1631 (2003).CrossRefGoogle Scholar
16Marano, C. and Rink, M.: Shear yielding threshold and viscoelasticity in an amorphous glassy polymer: A study on a styrene– acrylonitrile copolymer. Polymer 42, 2113 (2001).CrossRefGoogle Scholar
17Cheng, L., Scriven, L.E. and Gerberich, W.W.: Viscoelastic analysis of micro- and nano-indentation, in Fundamentals of Nanoindentation and Nantribology, edited by Moody, N.R., Gerberich, W.W., Burnham, N., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 522, Warrendale, PA, 1998), p. 193.Google Scholar
18Tunvisut, K., Busso, E.P., O’Dowd, N.P. and Brantner, H.P.: Determination of the mechanical properties of metallic thin films and substrates from indentation tests. Philos. Mag. A 82, 2013 (2002).CrossRefGoogle Scholar
19Suresh, S., Giannakopoulos, A.E. and Alcala, J.: Spherical indentation of compositionally graded materials: Theory and experiments. Acta Mater. 45, 1307 (1997).CrossRefGoogle Scholar
20Cheng, Y.T. and Cheng, C.M.: Scaling relationships in conical indentation of elastic- perfectly plastic solids. Int. J. Solids Struct. 36, 1231 (1999).CrossRefGoogle Scholar
21Venkatesh, T.A., Van Vliet, K.J., Giannakopoulos, A.E. and Suresh, S.: Determination of elasto-plastic properties by instrumented sharp indentation: guidelines for property extraction. Scripta Mater. 42, 833 (2000).CrossRefGoogle Scholar
22Giannakopoulos, A.E. and Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scripta Mater. 40, 1191 (1999).CrossRefGoogle Scholar
23Radok, J.R.M.: Visco-elastic stress analysis. Q. Appl. Math. 15, 198 (1957).CrossRefGoogle Scholar
24Cheng, L., Xia, X., Scriven, L.E. and Gerberich, W.W.: Spherical-tip indentation of viscoelastic material. Mech. Mater. 37, 213 (2005).CrossRefGoogle Scholar
25Sneddon, 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
26Sakai, M. and Nakano, Y.: Elastoplastic load-depth hysteresis in pyramidal indentation. J. Mater. Res. 17, 2161 (2002).CrossRefGoogle Scholar
27Nielsen, L.E. and Landel, R.F.: Mechanical Properties of Polymers and Composites, 2nd ed. (Marcel Dekker, New York, NY, 1994), p. 92.Google Scholar
28Krupi|$˘cka, A., Johansson, M. and Hult, A.: Viscoelasticity in polymer films on rigid substrates. Macromol. Mater. Eng. 288, 108 (2003).CrossRefGoogle Scholar