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Extracting the elastic and viscoelastic properties of a polymeric film using a sharp indentation relaxation test

Published online by Cambridge University Press:  03 March 2011

C.Y. Zhang ,
Y.W. Zhang ,
K.Y. Zeng ,
L. Shen  and
Y.Y. Wang
C.Y. Zhang
Affiliation:
Department of Materials Science and Engineering, National University of Singapore, Singapore 119260
Y.W. Zhang*
Affiliation:
Department of Materials Science and Engineering, National University of Singapore, Singapore 119260
K.Y. Zeng
Affiliation:
Department of Mechanical Engineering, National University of Singapore, Singapore 119260
L. Shen
Affiliation:
Institute of Materials Research and Engineering, Singapore 117602
Y.Y. Wang
Affiliation:
Institute of High Performance Computing, Singapore 117528
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

A new approach is proposed to extract the elastic and viscoelastic properties of a polymeric film on a hard substrate using a sharp indentation relaxation test. In the theoretic formulation, a sharp indentation relaxation test on a film/substrate system was interpreted by its equivalent flat-ended punch indentation relaxation test. The radius of the equivalent flat-ended punch was determined by the residual depth of the sharp indentation. A semi-analytical solution for a flat-ended punch relaxation test was derived. Sharp indentation relaxation tests on a polymethyl methacrylate film and a polycarbonate film on a glass substrate were performed. The semi-analytical solution and the experimental results were used to extract the elastic-viscoelastic parameters of the films. The extracted elastic-viscoelastic parameters of both films were found to be in a good agreement with data sheets of the films. The proposed approach provides a simple and yet feasible way to extract “film-only” elastic and viscoelastic properties.

Keywords

FilmPolymerStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 12 , December 2006 , pp. 2991 - 3000
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Saha, R., Nix, W.D.: Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23 (2002).CrossRefGoogle Scholar
2.Oliver, W.C., 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
3.Cheng, L., Xia, X., Yu, W., Scriven, L.E., Gerberich, W.W.: Flat-punch indentation of viscoelastic material. J. Polym. Sci., Part B 38, 10 (2000).Google Scholar
4.Zhang, C.Y., Zhang, Y.W., 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
5.Cheng, L., Xia, X., Scriven, L.E., Gerberich, W.W.: Spherical-tip indentation of viscoelastic material. Mech. Mater. 37, 213 (2005).CrossRefGoogle Scholar
6.Lu, H., Wang, B., Ma, J., Huang, G., Viswanathan, H.: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7, 189 (2003).CrossRefGoogle Scholar
7.Zhang, C.Y., Zhang, Y.W., Zeng, K.Y., Shen, L.: Nanoindentation of polymers with a sharp indenter. J. Mater. Res. 20, 1597 (2005).CrossRefGoogle Scholar
8.Krupicka, A., Johansson, M., Hult, A.: Viscoelasticity in polymer films on rigid substrates. Macromol. Mater. Eng. 288, 108 (2003).Google Scholar
9.Cheng, Y.T., Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R 44, 91 (2004).CrossRefGoogle Scholar
10.Cheng, Y.T., Cheng, C.M.: General relationship between contact stiffness, contact depth, and mechanical properties for indentation in linear viscoelastic solids using axisymmetric indenters of arbitrary profiles. Appl. Phys. Lett. 87, 111914 (2005).Google Scholar
11.Rikards, R., Flores, A., Ania, F., Kushnevski, V., Calleja, F.J. Baltá: Numerical-experimental method for the identification of plastic properties of polymers from microhardness tests. Comput. Mater. Sci. 11, 233 (1998).Google Scholar
12.Bucaille, J.L., Felder, E., 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
13.Ovaert, T.C., Kim, B.R., 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. Coating 47, 312 (2003).CrossRefGoogle Scholar
14.Oyen, M.L., Cook, R.F.: Load-displacement behavior during sharp indentation of viscous-elastic-plastic materials. J. Mater. Res. 18, 139 (2003).CrossRefGoogle Scholar
15.Oyen, M.L., Cook, R.F., Emerson, J.A., Moody, N.R.: Indentation response of time-dependent films on stiff substrates. J. Mater. Res. 19, 2487 (2004).CrossRefGoogle Scholar
16.Pharr, G.M., Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).Google Scholar
17.Sakai, M.: Elastic recovery in the unloading process of pyramidal microindentation. J. Mater. Res. 18, 1631 (2003).CrossRefGoogle Scholar
18.Basire, C., Frétigny, C.: Determination of viscoelastic moduli at a submicrometric scale. Eur. Phys. J. AP 6, 323 (1999).CrossRefGoogle Scholar
19. ABAQUS, version 6.4. (Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI, 2003).Google Scholar
20.Sui, T.Y., Pharr, G.M.: Substrate effects on nanoindentation mechanical property measurement of soft films on hard substrates. J. Mater. Res. 14, 292 (1999).Google Scholar
21.Sui, T.Y., Ross, C.A., Pharr, G.M.: A method for making substrate-independent hardness measurements of soft metallic films on hard substrates by nanoindentation. J. Mater. Res. 18, 1383 (2003).Google Scholar
22.Randall, N.X.: Direct measurement of residual contact area and volume during the nanoindentation of coated materials as an alternative method of calculating hardness. Philos. Mag. A 82, 1883 (2002).Google Scholar
23.Lim, Y.Y., Chaudhri, M.M.: Accurate determination of the mechanical properties of thin aluminum films deposited on sapphire flats using nanoindentations. J. Mater. Res. 14, 2314 (1999).CrossRefGoogle Scholar
24.Sakai, M., Akatsu, T., Numata, S.: Finite element analysis for conical indentation unloading of elastoplastic materials with strain hardening. Acta Mater. 52, 2359 (2004).Google Scholar
25.Doerner, M.F., Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
26.Yu, H.Y., Sanday, S.C., Rath, B.B.: The effect of substrate on the elastic properties of films determined by the indentation test: Axisymmetric Boussinesq problem. J. Mech. Phys. Solids 38, 745 (1990).Google Scholar
27.Sridhar, I., Johnson, K.L., Fleck, N.A.: Adhesion mechanics of the surface force apparatus. J. Phys. D: Appl. Phys. 30, 1710 (1997).Google Scholar
28.Sridhar, I., Sivashanker, S.: On the adhesion mechanics of multi-layer elastic systems. Surf. Coat. Technol. 167, 181 (2003).Google Scholar
29.Boersma, A., Soloukhin, V.A., Brokken-Zijp, J.C.M., De With, G.: Load and depth-sensing indentation as a tool to monitor a gradient in the mechanical properties across a polymer coating: A study of physical and chemical aging effects. J. Polym. Sci., Part B: Polym. Phys. 42, 1628 (2004).Google Scholar
30.Chui, C., Boyce, M.C.: Monte Carlo modeling of amorphous polymer deformation: Evolution of stress and strain. Macromolecules 32, 3795 (1999).Google Scholar
31.Oleynik, E.F. Distortional plasticity of organic glassy polymers, in High Performance Polymers, edited by Baer, E. and Moet, S. (Hauser, Munich, 1990).Google Scholar
32.Johnson, K.L.: Contact Mechanics . (Cambridge University Press, Cambridge, UK, 1985).Google Scholar
33.Gol’dman, A. Prediction of creep of polymeric and composite materials in shear and tension under hydrostatic pressure, in Prediction of the Deformation Properties of Polymeric and Composite Materials, edited by Shelef, M. and Rickie, R.A. (American Chemical Society, Washington, DC, 1994).Google Scholar
34.Hirai, N., Eyring, H.: Bulk viscosity of polymeric systems. J. Polym. Sci., Part B 37, 51 (1959).Google Scholar