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Extended JKR theory on adhesive contact of a spherical tip onto a film on a substrate

Published online by Cambridge University Press:  21 October 2011

Seung Tae Choi
Seung Tae Choi*
Affiliation:
School of Mechanical Engineering, University of Ulsan, Ulsan 680-749, Republic of Korea
*
a)Address all correspondence to this author. e-mail: stchoi@ulsan.ac.kr
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Abstract

The conventional JKR theory was extended to the adhesive contact of a rigid sphere onto an elastic film perfectly bonded to a rigid substrate. An elasticity problem of axisymmetric indentation on an elastic film was revisited, in which the force–depth relations for both flat and spherical indentations were obtained in a simple form. With the obtained force–depth relations, the energy release rate at the debonding of a spherical tip from an elastic film was expressed in terms of pull-off force, elastic constants, and geometric parameters. The adhesion energy between a spherical tip and an elastic film can be measured as the critical energy release rate at the instability of debonding. This study suggests that when the critical radius of contact is larger than the thickness of an elastic film, the extended JKR theory should be used in place of the conventional JKR theory to correctly evaluate the adhesion energy between the spherical tip and the elastic film.

Keywords

AdhesionFilmNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 113 - 120
Copyright
Copyright © Materials Research Society 2011

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