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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International Journal of Non-Linear Mechanics, Elsevier, 2015, 75 (SI), pp.115-122. 〈10.1016/j.ijnonlinmec.2015.02.013〉
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https://hal.univ-lorraine.fr/hal-01513178
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Soumis le : lundi 24 avril 2017 - 17:11:04
Dernière modification le : mardi 24 juillet 2018 - 11:45:25

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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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