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Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate

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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https://hal.univ-lorraine.fr/hal-01513178
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Submitted on : Monday, April 24, 2017 - 5:11:04 PM
Last modification on : Thursday, May 7, 2020 - 1:37:25 AM

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Norbert Stoop, Martin Michael Mueller. Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate. International Journal of Non-Linear Mechanics, Elsevier, 2015, 75 (SI), pp.115-122. ⟨10.1016/j.ijnonlinmec.2015.02.013⟩. ⟨hal-01513178⟩

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