Geometric Stiffening and Softening of an Indented Floating Thin Film

ORAL

Abstract

Thin sheets can behave nonlinearly while the local material response is purely linear. We separate two distinct mechanisms for geometric nonlinearities by studying the normal-force response of an indented polymer film on a liquid bath, using experiments, simulations, and theory. First, we show that the force reaches a plateau at large indentation, causing the effective spring constant of the system to soften, and we use a simple geometric model to capture this behavior at large slopes [1]. Then, we map out the full phase diagram at small slopes, supporting recent predictions [2] that the system stiffens out of the typical linear response for small deflections. Our results provide a prototypical example of how multiple distinct geometric nonlinearities may arise under monotonic driving.
[1] Ripp et. al., arXiv:1804.02421 (2018)
[2] Vella et al., Phys. Rev. E 98, 013003 (2018)

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Presenters

  • Monica Ripp

    Physics, Syracuse University

Authors

  • Monica Ripp

    Physics, Syracuse University

  • Vincent Démery

    Physics, Université de Lyon

  • Teng Zhang

    Mechanical & Aerospace Engineering, Syracuse University, Mechanical and Aerospace Engineering, Syracuse University, Mechanical and Aerospace Engineering, Syracuse university

  • Joseph D Paulsen

    Department of Physics, Syracuse University, Department of Physics, Syracuse Universty, Physics, Syracuse University, Syracuse University