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This and the next image are from:
Norbert Stoop (1) and Martin Michael Mueller (2,3)
(1) Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
(2) Equipe BioPhysStat, LCP-A2MC, Université de Lorraine, 1 boulevard Arago, 57070 Metz, France
(3) Institut Charles Sadron, CNRS-UdS, 23 rue du Loess, BP 84047, 67034 Strasbourg cedex 2, France
“Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate”, International Journal of Non-Linear Mechanics, Vol. 75, pp 115-122, October 2015, https://doi.org/10.1016/j.ijnonlinmec.2015.02.013
ABSTRACT: We consider the axial compression of a thin sheet wrapped around a rigid cylindrical substrate. In contrast to the wrinkling-to-fold transitions exhibited in similar systems, we find that the sheet always buckles into a single symmetric fold, while periodic solutions are unstable. Upon further compression, the solution breaks symmetry and stabilizes into a recumbent fold. Using linear analysis and numerics, we theoretically predict the buckling force and energy as a function of the compressive displacement. We compare our theory to experiments employing cylindrical neoprene sheets and find remarkably good agreement.
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