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Spherical indentation of a membrane on an elastic half-space

Published online by Cambridge University Press:  31 January 2011

Jae Hun Kim  and
Andrew Gouldstone
Jae Hun Kim
Affiliation:
Department of Materials Science and Engineering, SUNY Stony Brook, Stony Brook, New York 11794-2275
Andrew Gouldstone*
Affiliation:
Department of Materials Science and Engineering, SUNY Stony Brook, Stony Brook, New York 11794-2275
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

A number of physiological systems involve contact or indentation of solids with tensed surface layers. In this paper the contact problem of spherical indentation of a linear elastic solid, covered with a tensed membrane is addressed. Semianalytical solutions are obtained relating indentation force to contact radius, as well as contact radius to depth. Good agreement is found between derived equations and results from finite element method (FEM) simulations. In addition, effect of membrane on subsurface stresses is shown quantitatively and compared favorably to FEM results. This work is applicable to mechanical property assessment of a number of biological systems.

Keywords

BiomaterialElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 23 , Issue 8 , August 2008 , pp. 2212 - 2220
Copyright
Copyright © Materials Research Society 2008

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References

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