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Nonlinear elastic load–displacement relation for spherical indentation on rubberlike materials

Published online by Cambridge University Press:  31 January 2011

D.X. Liu ,
Z.D. Zhang  and
L.Z. Sun
D.X. Liu
Affiliation:
Department of Civil and Environmental Engineering, University of California, Irvine, California 92697-2175
Z.D. Zhang
Affiliation:
Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China
L.Z. Sun*
Affiliation:
Department of Civil and Environmental Engineering, University of California, Irvine, California 92697-2175
*
a)Address all correspondence to this author. e-mail: lsun@uci.edu
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Abstract

Because of the lack of universal contact models for nonlinear strain problems, indentation analysis on rubberlike materials is confined to small deformation in which Hertz's solution is applied. Recognizing that deep indentation may provide more material information, in this paper we propose a nonlinear elastic model for large spherical indentation of rubberlike materials based on the higher-order approximation of spherical function and Sneddon's solution. The effect of limiting network stretch is studied on the initial elastic modulus for lightly cross-linked rubbers. With the comparisons of the finite-element simulation and the experimental result, the proposed model is verified to predict the large indentation of rubberlike materials over the indentation depth of 0.8 times the indenter radius.

Keywords

PolymerStress/strain relationshipElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 25 , Issue 11 , November 2010 , pp. 2197 - 2202
Copyright
Copyright © Materials Research Society 2010

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References

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