378 citations · 777 across the 43 of their papers we have counts for
45 papers
Energy scaling laws for thin elastic sheets with topological defects
Raz Kupferman, Cy Maor, David Padilla-Garza
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…
Branch points and non-density for finite-bending isometric immersions of hyperbolic surfaces
Gilad Derfner, Raz Kupferman, Cy Maor
The space of -isometric immersions of a surface into arises naturally in the variational theory of thin elastic sheets: it is precisely the finite-bending c…
The Willmore energy and curvature concentration
Raz Kupferman, Cy Maor, David Padilla-Garza
We study isometric immersions of a Riemannian surface , where , into . We consider their bending energy, i.e., the square of the…
Linearization in incompatible elasticity for general ambient spaces
Raz Kupferman, Cy Maor
Motivated by recent interest in elastic problems in which the target space is non-Euclidean, we study a limit where local rest distances within an elastic body are incompatible, ye…
Stability of isometric immersions of hypersurfaces
Itai Alpern, Raz Kupferman, Cy Maor
We prove a stability result of isometric immersions of hypersurfaces in Riemannian manifolds, with respect to -perturbations of their fundamental forms: For a manifold e…
Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
Raz Kupferman, Roee Leder
We solve a problem posed by Calabi more than 60 years ago, known as the Saint-Venant compatibility problem: Given a compact Riemannian manifold, generally with boundary, find a com…