Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate |
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| Institution: | 1. School of Civil Engineering and Transportation, South China University of Technology, 510640 Guangzhou, Guangdong, China;2. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA;3. Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China;4. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong |
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| 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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| Keywords: | Static buckling and instability Application of continuum mechanics to structures Mechanical properties of thin films |
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