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Bending Response of a Book with Internal Friction

Samuel Poincloux, Tian Chen, Basile Audoly, and Pedro M. Reis
Phys. Rev. Lett. 126, 218004 – Published 27 May 2021
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Abstract

We study the bending of a booklike system, comprising a stack of elastic plates coupled through friction. The behavior of this layered system is rich and nontrivial, with a nonadditive enhancement of the apparent stiffness and a significant hysteretic response. A dimension reduction procedure is employed to develop a centerline-based theory describing the stack as a nonlinear planar rod with internal shear. We consider the coupling between the nonlinear geometry and the elasticity of the stacked plates, treating the interlayer friction perturbatively. This model yields predictions for the stack’s mechanical response in three-point bending that are in excellent agreement with our experiments. Remarkably, we find that the energy dissipated during deformation can be rationalized over 3 orders of magnitude, including the regimes of a thick stack with large deflection. This robust dissipative mechanism could be harnessed to design new classes of low-cost and efficient damping devices.

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  • Received 27 October 2020
  • Revised 28 January 2021
  • Accepted 22 April 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.218004

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterNonlinear Dynamics

Authors & Affiliations

Samuel Poincloux1, Tian Chen1, Basile Audoly2,*, and Pedro M. Reis1,†

  • 1Flexible Structures Laboratory, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne 1015, Switzerland
  • 2Laboratoire de Mécanique des Solides, CNRS, Institut Polytechnique de Paris, Palaiseau 91128, France

  • *basile.audoly@polytechnique.edu
  • pedro.reis@epfl.ch

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Issue

Vol. 126, Iss. 21 — 28 May 2021

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