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A Theoretical Study on the Indentation of Viscoelastic Materials

Published online by Cambridge University Press:  01 February 2011

Guanghui Fu*
Affiliation:
Lam Research Corporation 4540 Cushing Parkway Fremont, CA 94538, U.S.A.
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Abstract

Nanoindentation experiments have been used to investigate mechanical properties of polymeric thin films. In this paper, the problem is modeled as normal indentation of a viscoelastic half-space by a rigid smooth frictionless axisymmetric polynomial indenter. An analytical solution, which relates the indentation load to the penetration depth, is presented. The solution is valid as long as the contact region is simply connected and the indenter is in complete contact with the half-space. It shows that a similar fundamental relation exists in Laplace space.

Type
Research Article
Copyright
Copyright © Materials Research Society 2004

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References

REFERENCES

1. Gladwell, G.M.L., Contact Problems in the Classical Theory of Elasticity (Sijthoff & Noordhoff, Alphen aan den Rijn, the Netherlands, 1980).Google Scholar
2. Lee, E.H. and Radok, J.R.M., J. Appl. Mech. 27, 438 (1960).Google Scholar
3. Graham, G.A.C., Int. J. Eng. Sci. 5, 495 (1967).Google Scholar
4. Graham, G.A.C., Int. J. Eng. Sci. 3, 27 (1965).Google Scholar
5. Ting, T.C.T., J. Appl. Mech. 33, 845 (1966).Google Scholar
6. Ting, T.C.T., J. Appl. Mech. 35, 248 (1968).Google Scholar
7. Fu, G. and Chandra, A., J. Appl. Mech. 69, 142 (2002).Google Scholar
8. Christensen, R.M., Theory of Viscoelasticity (Academic Press, New York, USA, 1982).Google Scholar
9. Fu, G., J. Mater. Sci. Lett., (2003), (in press).Google Scholar