Effect of pressure on pull-off of flat 1-D rectangular punch adhered to membrane

ABSTRACT

Pressure can sometimes be utilized to increase or decrease the strength of adhesion. This phenomenon is analyzed for pull-off of a long, flat, rectangular punch from a long rectangular membrane. A one-dimensional nonlinear analysis is conducted. The pressure is applied to the membrane, and then the adhered 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 a von Kármán-type theory is used to allow moderate displacements. A JKR-type theory of adhesion is adopted. The effects of the work of adhesion, residual stress, and prestretch are investigated. With an increase in pressure, the maximum force decreases, the pull-off deflection of the punch relative to the initial flat membrane level increases, and the total punch deflection from the pressurized membrane may increase or decrease.

KEYWORDS:

• Rectangular membrane
• rectangular punch
• adhesion
• pull-off
• pressure
• residual stress
• prestretch

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 comments.

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.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

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