TECHNICAL PAPERS
Mar 6, 2009

Spherical Indentation on an Elastic Coating/Substrate System: Determining Substrate Modulus

Publication: Journal of Engineering Mechanics
Volume 135, Issue 10

Abstract

A vast amount of indentation studies on coating/substrate systems focused on extracting the mechanical properties of the film, by either avoiding or subtracting off the substrate effect. However, in engineering and biomedical applications, very often the substrate properties, in particular the substrate modulus, need to be measured from an indentation test and the protective layer cannot be removed. For the model system of an elastic film deposited on an elastic substrate, we establish the general approach of spherical indentation focusing on the substrate property determination. Indentation data are taken from different indentation depths which reflect different degrees of film and substrate effects. An effective reverse analysis algorithm is established such that, from an indentation test if either the film modulus or film thickness is known, the other variable can be measured along with the substrate modulus. Error sensitivity of the proposed formulation is analyzed in a systematic way.

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Acknowledgments

The work is supported in part by the National Science Foundation under Grant Nos. NSFCMS-0407743 and NSFCMMI-0643726, and in part by the Department of Civil Engineering and Engineering Mechanics, Columbia University.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 135Issue 10October 2009
Pages: 1189 - 1197

History

Received: Jul 1, 2008
Accepted: Feb 9, 2009
Published online: Mar 6, 2009
Published in print: Oct 2009

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Authors

Affiliations

James A. Mills
Graduate Student, School of Engineering and Applied Sciences, Columbia Univ., New York, NY 10027.
Associate Professor, Dept. of Earth Environmental Engineering, Columbia Univ., New York, NY 10027 (corresponding author). E-mail: [email protected]

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