Impact on floating membranes.

Phys Rev E

Aix Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7342, F-13384 Marseille, France.

Published: May 2016

AI Article Synopsis

  • A thin elastic membrane floating on a liquid pool deforms when struck by a rigid object, creating two types of waves.
  • The first wave is a longitudinal wave that moves at a constant speed and marks regions of different stress states in the membrane, while the second wave is a dispersive transverse wave that varies in speed based on how much the membrane is stretched.
  • The study reveals a self-similar dynamic behavior of these waves, paralleling capillary waves but with a unique surface tension influenced by the speed of impact, and it also discusses the emergence of radial wrinkles and the implications for impact energy absorption.

Article Abstract

When impacted by a rigid body, a thin elastic membrane with negligible bending rigidity floating on a liquid pool deforms. Two axisymmetric waves radiating from the impact point propagate. First, a longitudinal wave front, associated with in-plane deformation of the membrane and traveling at constant speed, separates an outward stress-free domain from a stretched domain. Then, in the stretched domain a dispersive transverse wave travels at a speed that depends on the local stretching rate. The dynamics is found to be self-similar in time. Using this property, we show that the wave dynamics is similar to the capillary waves that propagate at a liquid-gas interface but with a surface tension coefficient that depends on impact speed. During wave propagation, we observe the development of a buckling instability that gives rise to radial wrinkles. We address the dynamics of this fluid-body system, including the rapid deceleration of an impactor of finite mass, an issue that may have applications in the domain of absorption of impact energy.

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Source
http://dx.doi.org/10.1103/PhysRevE.93.052801DOI Listing

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