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Mechanical properties characterization of a viscoelastic solid using low-frequency large-amplitude oscillatory indentations with a sharp tip

Published online by Cambridge University Press:  31 January 2011

N. Fujisawa*
Affiliation:
Department of Electronic Materials Engineering, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia
M.V. Swain
Affiliation:
Biomaterials Science Research Unit, Faculty of Dentistry, University of Sydney, Surry Hills, NSW 2010, Australia
*
a)Address all correspondence to this author. e-mail: naoki.fujisawa@anu.edu.au
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Abstract

A viscoelastic solid was contacted by a pointed indenter using low-frequency large-amplitude sinusoidal load functions to determine its contact stiffness in a manner similar to that of the continuous stiffness measurement (CSM) technique but in a quasi-static condition. The contact stiffness of a viscoelastic solid determined by the CSM technique, or the dynamic stiffness, is known, from previous CSM-based studies, to overestimate the quasi-static contact stiffness. The contact stiffness of a viscoelastic solid determined in a quasi-static manner is thus hypothesized to help predict the contact depth more accurately. A new analysis procedure based on truncated Fourier series fitting was developed specifically to process the large amplitude sinusoidal indentation data. The elastic modulus of the material characterized in this work was in agreement with that determined by dynamic mechanical analysis, thereby providing evidence for the validity of the present method in characterizing other viscoelastic materials.

Type
Articles
Copyright
Copyright © Materials Research Society 2008

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References

REFERENCES

1Sneddon, 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 1965CrossRefGoogle Scholar
2Doerner, M.F.Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 1986CrossRefGoogle Scholar
3Oliver, 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 1992CrossRefGoogle Scholar
4Feng, G.Ngan, A.H.W.: Effects of creep and thermal drift on modulus measurement using depth-sensing indentation. J. Mater. Res. 17, 660 2002CrossRefGoogle Scholar
5Ngan, A.H.W., Wang, H.T., Tang, B.Sze, K.Y.: Correcting power-law viscoelastic effects in elastic modulus measurement using depth-sensing indentation. Int. J. Solids Struct. 42, 1831 2005CrossRefGoogle Scholar
6Pethica, J.B.Oliver, W.C.: Tip surface interactions in STM and AFM. Phys. Scr. T 19, 61 1987CrossRefGoogle Scholar
7Hochstetter, G., Jimenez, A.Loubet, J.L.: Strain-rate effects on hardness of glassy polymers in the nanoscale range. Comparison between quasi-static and continuous stiffness measurements. J. Macromol. Sci. Phys. B 38, 681 1999CrossRefGoogle Scholar
8Menčík, J., Rauchs, G., Bardon, J.Riche, A.: Determination of elastic modulus and hardness of viscoelastic-plastic materials by instrumented indentation under harmonic load. J. Mater. Res. 20, 2660 2005CrossRefGoogle Scholar
9Cheng, Y-T., Ni, W.Cheng, C-M.: Non-linear analysis of oscillatory indentation in elastic and viscoelastic solids. Phys. Rev. Lett. 97, 075506 2006CrossRefGoogle Scholar
10Pharr, G.M.Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 2002CrossRefGoogle Scholar
11Hochstetter, G., Jimenez, A., Cano, J.P.Felder, E.: An attempt to determine the true stress-strain curves of amorphous polymers by nanoindentation. Tribol. Int. 36, 973 2003CrossRefGoogle Scholar
12Bec, S., Tonck, A., Georges, J-M., Georges, E.Loubet, J.L.: Improvements in the indentation method with a surface force apparatus. Philos. Mag. A 74, 1061 1996CrossRefGoogle Scholar
13Fujisawa, N.Swain, M.V.: Effect of unloading strain rate on the elastic modulus of a viscoelastic solid determined by nanoindentation. J. Mater. Res. 21, 708 2006CrossRefGoogle Scholar
14Huang, G., Wang, B.Lu, H.: Measurements of viscoelastic functions of polymers in the frequency-domain using nanoindentation. Mech. Time-Dependent Mater. 8, 345 2005CrossRefGoogle Scholar
15White, C.C., Van-Landingham, M.R., Drzal, P.L., Chang, N-K.Chang, S-H.: Viscoelastic characterization of polymers using instrumented indentation. II. Dynamic testing. J. Polym. Sci. Part B: Polym. Phys. 43, 1812 2005CrossRefGoogle Scholar