Localized patterns in crushed conical shells

Localized patterns in crushed conical shells

Localized patterns in crushed conical shells O. Gottesman, E. Vouga, S. M. Rubinstein and L. Mahadevan  EPL , 124:14005, 2018.
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Abstract

We use experiments and numerical simulations to study the rapid buckling of thinwalled cones as they impact a solid surface at high velocities. The buildup of air pressure inside
the cone localizes the deformations to the impacting interface with the solid surface, leading to
the hierarchical formation of an ordered pattern of small rhomboidal cells. In contrast, when
the inner air pressure is not allowed to develop, the ordered pattern is destabilized and the cone
collapses in a highly disordered state on long length scales. Numerical simulations confirm that
the transition between ordered and disordered crumpling is governed by the competition between
the elastic deformation energy of the shells and the work required to pressurize the air. Our results
show how dynamic stabilization via tensioning suppresses long wavelength subcritical instabilities
in shells and leads to the localization and propagation of short wavelength patterns.