منابع مشابه
A simplified model for elastic thin shells
We introduce a simplified model for the minimization of the elastic energy in thin shells. This model is not obtained by an asymptotic analysis. The thickness of the shell remains a parameter as in Reisner-Mindlin’s model for plates and Koiter’s model for shells in the linear case. The simplified model admits always minimizers by contrast with the original one. We show the relevance of our appr...
متن کاملElastic platonic shells.
On 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 s...
متن کاملWrinkling of pressurized elastic shells.
We study the formation of localized structures formed by the point loading of an internally pressurized elastic shell. While unpressurized shells (such as a ping-pong ball) buckle into polygonal structures, we show that pressurized shells are subject to a wrinkling instability. We study wrinkling in depth, presenting scaling laws for the critical indentation at which wrinkling occurs and the nu...
متن کاملMethods for Thin Nearly Flat Elastic Shells with Stretching and Bending
Mahdi Bandegi ([email protected]) Aaron Bardall ([email protected]) Valeria Barra ([email protected]) Sean Bohun ([email protected]) Peter Buchak ([email protected]) Darren Crowdy ([email protected]) Andrew deStefan ([email protected]) Pavel Dubovski ([email protected]) Hangjie Ji ([email protected]) Shelvean Kapita ([email protected]) Longfei Li ([email protected]) Jared Little (jared.l...
متن کاملVolume–controlled buckling of thin elastic shells: Application to crusts formed on evaporating partially–wetted droplets
Motivated by the buckling of glassy crusts formed on evaporating droplets of polymer and colloid solutions, we numerically model the deformation and buckling of spherical elastic caps controlled by varying the volume between the shell and the substrate. This volume constraint mimics the incompressibility of the unevaporated solvent. Discontinuous buckling is found to occur for sufficiently thin...
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ژورنال
عنوان ژورنال: Journal of Applied Mechanics
سال: 1968
ISSN: 0021-8936,1528-9036
DOI: 10.1115/1.3601281