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C. Maor

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Preprint Aug 2026

Energy scaling laws for thin elastic sheets with topological defects

We derive energy scaling laws for thin elastic sheets with topological defects --- disclinations and dislocations --- for a fully nonlinear 3D model. For disclinations, the scaling laws are tight in the thickness parameter, and improve upon previous results by applying simultaneously to positive and negative disclinati...

R. Kupferman, C. Maor, David Padilla-Garza · 0 citations
Preprint Aug 2026

Branch points and non-density for finite-bending isometric immersions of hyperbolic surfaces

The space of $W^{2,2}$-isometric immersions of a surface into $\mathbb{R}^3$ arises naturally in the variational theory of thin elastic sheets: it is precisely the finite-bending class, where the bending energy --- the $L^2$-norm of the second fundamental form --- is finite. For sheets with negative Gaussian curvature,...

Gilad Derfner, R. Kupferman, C. Maor · 0 citations

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