Elastic Platonic Shells
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CitationYong, Ee Hou, David R. Nelson, and Lakshminarayanan Mahadevan. 2013. "Elastic Platonic Shells." Physical Review Letters 111 (17): 177801.
AbstractOn microscopic scales, the crystallinity of flexible tethered or cross-linked membranes determines their mechanical response. We show that by controlling the type, number, and distribution of defects on a spherical elastic shell, it is possible to direct the morphology of these structures. Our numerical simulations show that by deflating a crystalline shell with defects, we can create elastic shell analogs of the classical platonic solids. These morphologies arise via a sharp buckling transition from the sphere which is strongly hysteretic in loading or unloading. We construct a minimal Landau theory for the transition using quadratic and cubic invariants of the spherical harmonic modes. Our approach suggests methods to engineer shape into soft spherical shells using a frozen defect topology.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:13457748
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