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Deformation and failure of a film/substrate system subjected to spherical indentation: Part I. Experimental validation of stresses and strains derived using Hankel transform technique in an elastic film/substrate system

Published online by Cambridge University Press:  01 March 2006

Souvik Math ,
V. Jayaram  and
S.K. Biswas
Souvik Math
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore–560012, India
V. Jayaram
Affiliation:
Department of Metallurgy, Indian Institute of Science, Bangalore–560012, India
S.K. Biswas*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore–560012, India
*
a) Address all correspondence to this author. e-mail: skbis@mecheng.iisc.ernet.in
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Abstract

Our concern here is to rationalize experimental observations of failure modes brought about by indentation of hard thin ceramic films deposited on metallic substrates. By undertaking this exercise, we would like to evolve an analytical framework that can be used for designs of coatings. In Part I of the paper we develop an algorithm and test it for a model system. Using this analytical framework we address the issue of failure of columnar TiN films in Part II [J. Mater. Res.21, 783 (2006)] of the paper. In this part, we used a previously derived Hankel transform procedure to derive stress and strain in a birefringent polymer film glued to a strong substrate and subjected to spherical indentation. We measure surface radial strains using strain gauges and bulk film stresses using photo elastic technique (stress freezing). For a boundary condition based on Hertzian traction with no film interface constraint and assuming the substrate constraint to be a function of the imposed strain, the theory describes the stress distributions well. The variation in peak stresses also demonstrates the usefulness of depositing even a soft film to protect an underlying substrate.

Keywords

CoatingElastic propertiesStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 3 , March 2006 , pp. 774 - 782
Copyright
Copyright © Materials Research Society 2006

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