Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-14T18:32:00.768Z Has data issue: false hasContentIssue false
  • English
  • Français

Modified method for continuous stiffness measurement

Published online by Cambridge University Press:  31 January 2011

Pal Jen Wei  and
Jen Fin Lin
Pal Jen Wei
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, Republic of China
Jen Fin Lin*
Affiliation:
Department of Mechanical Engineering, Center for Micro/Nano Science and Technology, and Institute of Nanotechnology and Microsystems Engineering, National Cheng Kung University, Tainan, Taiwan 701, Republic of China
*
a) Address all correspondence to this author. e-mail: jflin@mail.ncku.edu.tw
Get access

Abstract

This study proposes a method developed to simultaneously solve contact hardness and reduced modulus by loading and unloading coefficients together with the inclined angle of an indenter. The ratios of the applied load to the squared slopes of load–depth curves during loading and unloading processes were used to determine loading and unloading coefficients. The values of the contact area estimated by the present method were found to be precise for a variety of materials. Compared to the reduced modulus, errors due to underestimated contact area were found more significant in the evaluation of contact hardness.

Keywords

HardnessNanoindentationPolymer
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 599 - 606
Copyright
Copyright © Materials Research Society 2009

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

1.Oliver, 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
2.Sakai, M.: Energy principle of the indentation induced inelastic surface deformation and hardness of brittle materials. Acta Metall. Mater. 41, 1751 (1993).CrossRefGoogle Scholar
3.Field, J.S. and Swain, M.V.: A simple predictive model for spherical indentation. J. Mater. Res. 8, 297 (1993).CrossRefGoogle Scholar
4.Suresh, S. and Giannakopoulos, A.E.: Determination of elastoplastic properties by sharp indentation. Scr. Mater. 40, 1191 (1999).Google Scholar
5.Taljat, B., Zacharia, T., and Kosel, F.: New analytical procedure to determine stress-strain curve from spherical indentation data. Int. J. Solids Struct. 35, 4411 (1998).CrossRefGoogle Scholar
6.Lucas, B.N., Oliver, W.C., and Swindman, 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), pp. 3–14Google Scholar
7.Page, T.F., Pharr, G.M., Hay, J.C., Oliver, W.C., Lucas, B.N., Herbert, E., and Riester, L.: Nanoindentation characterization of coated systems: P/S2—A new approach using the continuous stiffness technique, 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), pp. 53–64.Google Scholar
8.Li, X. and Bushan, B.: Fatigue studies of nanoscale structures for MEMS/NEMS applications using nanoindentation technologies. Surf. Coat. Technol. 163, 521 (2003).CrossRefGoogle Scholar
9.Fischer-Cripps, A.C.: Nanoindentation (Springer, New York, 2004).CrossRefGoogle Scholar
10.Wei, P.J. and Lin, J.F.: A new method developed to evaluate both the hardness and elastic modulus of a coating-substrate system. Surf. Coat. Technol. 200, 2489 (2005).CrossRefGoogle Scholar
11.Sakai, M.: The Meyer hardness, a measure for plasticity?, J. Mater. Res. 14, 3630 (1999).CrossRefGoogle Scholar
12.Kese, K.O., Li, Z.C., and Bergman, B.: Method to account for true contact area in soda-lime glass during nanoindentation with the Berkovich tip. Mater. Sci. Eng., A 404, 1 (2005).CrossRefGoogle Scholar
13.Hainsworth, S.V., Chandler, H.W., and Page, T.F.: Analysis of nano-indentation load-displacement loading curves. J. Mater. Res. 11, 1987 (1996).CrossRefGoogle Scholar
14.Sakai, M. and Nakano, Y.: Elastoplastic load-depth hysteresis in pyramidal indentation. J. Mater. Res. 17, 2161 (2002).CrossRefGoogle Scholar
15.Sakai, M.: Simultaneous estimate of elastic/plastic parameters in depth-sensing indentation tests. Acta Mater. 51, 391 (2004).Google Scholar
16.Feng, 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
17.Zhang, Y.W. and Yang, S.: Analysis of nanoindentation creep for polymeric materials. J. Appl. Phys. 95, 3655 (2004).Google Scholar
18.Zhang, C.Y., Zhang, Y.W., Zeng, K.Y., and Shen, L.: Nanoindentation of polymers with a sharp indenter. J. Mater. Res. 20, 1597 (2005).CrossRefGoogle Scholar
19.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
20.Hochstetter, G., Jimenez, A., Cano, J.P., and Felder, E.: An attempt to determine the true stress–strain curves of amorphous polymers by nano-indentation. Tribol. Int. 36, 973 (2003).CrossRefGoogle Scholar
21.Li, Z.Y., Cheng, Y.T., Yang, H.T., and Chandrasekar, S.: On two indentation hardness definitions. Surf. Coat. Technol. 154, 124 (2002).CrossRefGoogle Scholar
22.Grillo, S.E., Ducarroir, M., Nadal, M., Tournie, E., and Faurie, J-P.: Nanoindentation of Si, GaP, GaAs and ZnSe Single crystals. J. Phys. D: Appl. Phys. 36, L5 (2003).CrossRefGoogle Scholar