Self-Amplification of Solid Friction in Interleaved Assemblies

Physical Review Letters
Héctor AlarcónFrédéric Restagno

Abstract

It is nearly impossible to separate two interleaved phone books when held by their spines. A full understanding of this astonishing demonstration of solid friction in complex assemblies remains elusive. In this Letter, we report on experiments with controlled booklets and show that the force required increases sharply with the number of sheets. A model captures the effect of the number of sheets, their thickness, and the overlapping distance. Furthermore, the data collapse onto a self-similar master curve with one dimensionless amplification parameter. In addition to solving a long-standing familiar enigma, this model system provides a framework with which one can accurately measure friction forces and coefficients at low loads, and that has relevance to complex assemblies from the macro- to the nanoscale.

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Citations

May 13, 2017·Physical Review Letters·Tomohiko G SanoHirofumi Wada
Mar 16, 2018·Physical Review Letters·Denis DumontPascal Damman
May 15, 2018·Physical Review Letters·Patrick B WarrenRaymond E Goldstein
May 29, 2021·The European Physical Journal. E, Soft Matter·Raphaelle TaubFrédéric Restagno
Jun 12, 2021·Physical Review Letters·Samuel PoinclouxPedro M Reis

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