Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T16:09:11.619Z Has data issue: false hasContentIssue false

Determination of elastic modulus and hardness of viscoelastic-plastic materials by instrumented indentation under harmonic load

Published online by Cambridge University Press:  03 March 2011

J. Menčík*
Affiliation:
University of Pardubice, Jan Perner Transport Faculty, CZ-53210 Pardubice, Czech Republic
G. Rauchs
Affiliation:
Centre de Recherche Public Henri Tudor, Laboratoire de Technologies Industrielles, L-4221 Esch-sur-Alzette, Luxembourg
J. Bardon
Affiliation:
Centre de Recherche Public Henri Tudor, Laboratoire de Technologies Industrielles, L-4221 Esch-sur-Alzette, Luxembourg
A. Riche
Affiliation:
Centre de Recherche Public Henri Tudor, Laboratoire de Technologies Industrielles, L-4221 Esch-sur-Alzette, Luxembourg
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

When determining elastic modulus and hardness of viscoelastic-plastic materials by depth-sensing indentation, one must respect their specific response. In the monotonic load-unload testing mode, the unloading should be preceded by a dwell mitigating the influence of the delayed deforming. The continuous stiffness measurement (CSM) mode, with a small harmonic signal added to the basic monotonic load, enables continuous measurement of harmonic contact stiffness and mechanical properties as a function of depth. However, the contact depth and area in this mode actually depend on the slow (monotonic) component of the loading and should be determined not from the harmonic contact stiffness but from the unloading stiffness; otherwise, the calculated elastic modulus and mean contact pressure will be incorrect. This paper provides the formulae for these calculations, defines special characteristics—such as apparent dynamic hardness and the index of sensitivity to harmonic loading—and shows how to improve results by smoothing the harmonic stiffness curve. The proposed methods are illustrated through nanoindentation tests of polymethyl methacrylate.

Type
Articles
Copyright
Copyright © Materials Research Society 2005

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

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
2Bulychev, S.I., Alekhin, V.P., Shorshorov, M.Kh., Ternovskii, A.P. and Shnyrev, G.D.: Determining Young’s modulus from the indenter penetration diagram. Zavod. Lab. 41, 1137 (1975).Google Scholar
3Doerner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).Google Scholar
4Hay, J.L. and Pharr, G.M. Instrumented indentation testing, in ASM Handbook Volume 8: Mechanical Testing and Evaluation, 10th ed., edited by Kuhn, H. and Medlin, D. (ASM International, Materials Park, OH, 2000), pp. 232243.Google Scholar
5Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).Google Scholar
6Haddad, Y.M.: Viscoelasticity of Engineering Materials (Chapman & Hall, London, U.K., 1995).CrossRefGoogle Scholar
7Tschoegl, N.W.: The Phenomenological Theory of Linear Viscoelastic Behavior (Springer-Verlag, Berlin, Germany, 1989).Google Scholar
8Loubet, J-L., Lucas, B.N. and Oliver, W.C. Some measurements of viscoelastic properties with the help of nanoindentation, in NIST Special Publication 896: International Workshop on Instrumental Indentation (National Institute of Standards and Technology, San Diego, CA, 1995), pp. 3134.Google Scholar
9Lucas, B.N., Oliver, W.C. and Swindeman, J.E. The dynamics of frequency-specific, depth-sensing indentation testing, in Fundamentals of Nanoindentation and Nanotribology, edited by Moody, N.R., Gerberich, W.W., Burnham, N., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 522, Warrendale, PA, 1998), p. 3.Google Scholar
10Strojny, A. and Gerberich, W.W. Experimental analysis of viscoelastic behavior in nanoindentation, in Fundamentals of Nanoindentation and Nanotribology, edited by Moody, N.R., Gerberich, W.W., Burnham, N., and Baker, S.P. (Mater. Res. Soc. Symp. Proc. 522, Warrendale, PA, 1998), p. 159.Google Scholar
11Cheng, L., Scriven, L.E. and Gerberich, W.W. Viscoelastic analysis of micro- and nanoindentation, in Fundamentals of Nanoindentation and Nanotribology, 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
12Briscoe, B.J., Fiori, L. and Pelillo, E.: Nano-indentation of polymeric surfaces. J. Phys. D: Appl. Phys. 31, 2395 (1998).CrossRefGoogle Scholar
13Hochstetter, G., Jimenez, A. and Loubet, J.L.: Strain-rate effects on hardness of glassy polymers in the nanoscale range. Comparison between quasi-static and continuous stiffness measurement. J. Macromol. Sci., Phys. B 38, 681 (1999).CrossRefGoogle Scholar
14Chudoba, T. and Richter, F.: Investigation of creep behaviour under load during indentation experiments and its influence on hardness and modulus results. Surf. Coat. Technol. 148, 191 (2001).Google Scholar
15Feng, G. and Ngan, A.H.W.: Effects of creep and thermal drift on modulus measurement using depth-sensing indentation. J. Mater. Res. 17, 660 (2002).CrossRefGoogle Scholar
16Ngan, A.H.W. and Tang, B.: Viscoelastic effects during unloading in depth-sensing indentation. J. Mater. Res. 17, 2604 (2002).CrossRefGoogle Scholar
17Tang, H.T. and Ngan, A.H.W.: Accurate measurement of tip-sample contact size during nanoindentation of viscoelastic materials. J. Mater. Res. 18, 1141 (2003).CrossRefGoogle Scholar
18Ngan, A.H.W., Wang, H.T., Tang, B. and Sze, K.Y.: Correcting power-law viscoelastic effects in elastic modulus measurement using depth-sensing indentation. Int. J. Solids Struct. 42, 1831 (2005).CrossRefGoogle Scholar
19Oyen, 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
20Bushby, A.J., Ferguson, V.L. and Boyde, A.: Nanoindentation of bone: Comparison of specimens tested in liquid and embedded in polymethylmethacrylate. J. Mater. Res. 19, 249 (2005).CrossRefGoogle Scholar
21 International Organization for Standardization 14577, Metallic materials – Instrumented indentation test for hardness and materials parameters – Part 4: Test method for metallic and non-metallic coatings. (International Organization for Standardization (ISO), Geneva, Switzerland, 2004).Google Scholar
22Menčík, J., Rauchs, G., Belouettar, S., Bardon, J. and Riche, A. Modeling of response of viscoelastic materials to harmonic loading, in Engineering Mechanics, edited by Zolotarev, I. and Poživilová, A., Svratka, (Academy of Sciences of the Czech Republic, Prague, Czech Republic, 2004), CD-ROM, ISBN 80-85918-88-9.Google Scholar