Abstract
We consider a geometrically fully nonlinear variational model for thin elastic sheets that contain a single disclination. The free elastic energy contains the thickness as a small parameter. We give an improvement of a recently proved energy scaling law, removing the next-to-leading-order terms in the lower bound. Then we prove the convergence of (almost-)minimizers of the free elastic energy towards the shape of a radially symmetric cone, up to Euclidean motions, weakly in the spaces for every , as the thickness is sent to 0.
Citation
Heiner Olbermann. "The shape of low energy configurations of a thin elastic sheet with a single disclination." Anal. PDE 11 (5) 1285 - 1302, 2018. https://doi.org/10.2140/apde.2018.11.1285
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