Effect of pressure on pull-off of flat cylindrical punch adhered to circular membrane

ABSTRACT

Pressure can sometimes be utilized to increase or decrease the strength of adhesion. This phenomenon is analyzed for pull-off of a flat, circular cylindrical punch from a circular membrane. The pressure is applied, and then the punch is pulled upward. Both force control and displacement control are considered, and the pressure may be positive (acting upward) or negative (acting downward) on the membrane. The membrane is assumed to be linearly elastic, and Föppl-von Kármán theory is used to allow moderate displacements. The JKR theory of adhesion is adopted. A transversality (debonding) condition is derived, and then the effects of the work of adhesion, Poisson’s ratio, residual stress, and the relative radius of the punch to that of the membrane are investigated. With an increase in pressure, the pull-off force decreases, the pull-off deflection of the punch relative to the initial flat membrane level increases, and the total pull-off punch deflection from the pressurized membrane may increase or decrease.

KEYWORDS:

• Circular membrane
• cylindrical punch
• adhesion
• pull-off
• pressure
• residual stress
• moderate deflections

Acknowledgements

The author is grateful to Michael Bartlett for introducing this topic to him, to David Dillard for helpful suggestions, to Benjamin Dymond for preparing the figures, and to the reviewers for their helpful suggestions.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the author upon reasonable request.

Additional information

Funding

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.