Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate - Université de Lorraine Access content directly
Journal Articles International Journal of Non-Linear Mechanics Year : 2015

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.

Dates and versions

hal-01513178 , version 1 (24-04-2017)

Identifiers

Cite

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, 2015, 75 (SI), pp.115-122. ⟨10.1016/j.ijnonlinmec.2015.02.013⟩. ⟨hal-01513178⟩
92 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More