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FROM:
Serge Mora (1), Edward Andò (2), Jean-Marc Fromental (3), Ty Phou (3) and Yves Pomeau (4)
(1) Laboratoire de Mécanique et de Génie Civil, Université de Montpellier and CNRS, 163 rue Auguste Broussonnet, F-34090 Montpellier, France
(2) Laboratoire 3SR, Université Grenoble Alpes and CNRS, F-38041 Grenoble, France
(3) Laboratoire Charles Coulomb, Université de Montpellier and CNRS, 163 rue Auguste Broussonnet, F-34090 Montpellier, France
(4) University of Arizona, Department of Mathematics, Tucson, USA
“The shape of hanging elastic cylinders”, Soft Matter, Vol. 15, No. 27, pp 5464-5473, 18 June 2019, DOI: 10.1039/C9SM00625G
ABSTRACT: Deformations of heavy elastic cylinders with their axis in the direction of earth's gravity field are investigated. The specimens, made of polyacrylamide hydrogels, are attached from their top circular cross section to a rigid plate. An equilibrium configuration results from the interplay between gravity that tends to deform the cylinders downwards under their own weight, and elasticity that resists these distortions. The corresponding steady state exhibits fascinating shapes which are measured with lab-based micro-tomography. For any given initial radius to height ratio, the deformed cylinders are no longer axially symmetric beyond a critical value of a control parameter that depends on the volume force, the height and the elastic modulus: self-similar wrinkling hierarchies develop, and dimples appear at the bottom surface of the shallowest samples. We show that these patterns are the consequences of elastic instabilities.
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