Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-28T11:45:33.388Z Has data issue: false hasContentIssue false

Storage and loss stiffnesses and moduli as determined by dynamic nanoindentation

Published online by Cambridge University Press:  31 January 2011

Wendelin J. Wright*
Affiliation:
Santa Clara University, Department of Mechanical Engineering, Santa Clara, California 95053
W.D. Nix
Affiliation:
Stanford University, Department of Materials Science and Engineering, Stanford, California 94305
*
a) Address all correspondence to this author. e-mail: [email protected].
Get access

Abstract

The storage and loss stiffnesses for the composite response of the sample, indenter, and load frame during dynamic nanoindentation are derived. In the first part of the analysis, no physical model is assigned to the composite system. It is shown that this case is equivalent to the conventional nanoindentation analysis. In the second part of the analysis, the sample is modeled as a standard linear solid in series with the indenter and load frame. The results for the storage and loss stiffnesses as computed by the two methods differ by at most ∼3% for the elastomeric system under consideration. Results for the storage and loss moduli are also similar. The relative merits and weaknesses of each analysis are discussed.

Keywords

Type
Articles
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(6), 1564 (1992).CrossRefGoogle Scholar
2.Herbert, E.G., Oliver, W.C., and Pharr, G.M.: Nanoindentation and the dynamic characterization of viscoelastic solids. J. Phys. D: Appl. Phys. 41(7), 074021 (2008).CrossRefGoogle Scholar
3.Wright, W.J., Maloney, A.R., and Nix, W.D.: An improved analysis for viscoelastic damping in dynamic nanoindentation. Int. J. Surf. Sci. Eng. 1(2/3), 274 (2007).CrossRefGoogle Scholar
4.Cheng, Y-T., Ni, W., and Cheng, C-M.: Nonlinear analysis of oscillatory indentation in elastic and viscoelastic solids. Phys. Rev. Lett. 97(7), 075506 (2006).CrossRefGoogle ScholarPubMed
5.Oliver, 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(1), 3 (2004).CrossRefGoogle Scholar
6.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
7.Zener, C.M.: Elasticity and Anelasticity of Metals (The University of Chicago Press, Chicago, IL, 1948), p. 43.Google Scholar