Nonlinear amplification of adhesion forces in interleaved books

Two interleaved phonebooks are nearly impossible to separate by pulling their spines. The very slight force exerted by the outer sheets of the assembly is amplified as the exponential of the square of the number of sheets, leading to a highly-resistant system even with a small number of sheets. We p...

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Bibliographic Details
Published in:arXiv.org 2020-04
Main Authors: Taub, Raphaelle, Salez, Thomas, Alarcon, Hector, Raphael, Elie, Poulard, Christophe, Restagno, Frédéric
Format: Article
Language:English
Subjects:
Adhesion
Amplification
Assembly
Sheets
Online Access:Get full text
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Summary:Two interleaved phonebooks are nearly impossible to separate by pulling their spines. The very slight force exerted by the outer sheets of the assembly is amplified as the exponential of the square of the number of sheets, leading to a highly-resistant system even with a small number of sheets. We present a systematic and detailed study of the influences of the normal external force and the geometrical parameters of the booklets on the assembly strength. We conclude that the paper-paper adhesion force between the two outer sheets, on the order of a few mN, is the one that is amplified by the two interleaved system. The two-phonebooks experiment that has attracted the attention of students and non-scientific public all around the world as an outstanding demonstration of the strength of friction appears to be as well a spectacular macroscopic manifestation of the microscopic friction-adhesion coupling.
ISSN:2331-8422