12 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…
Completeness of reparametrization-invariant Sobolev metrics on the space of surfaces
Martin Bauer, Cy Maor, Benedikt Wirth
We study reparametrization-invariant Sobolev-type Riemannian metrics on the space of immersed surfaces and establish conditions ensuring metric and geodesic completeness as well as…
From Volterra dislocations to strain-gradient plasticity
Raz Kupferman, Cy Maor
We rigorously derive a strain-gradient model of plasticity as a -limit of continuum bodies containing finitely-many edge-dislocations (in two dimensions). The key difference fr…
Rigorous analysis of shape transitions in frustrated elastic ribbons
Cy Maor, Maria Giovanna Mora
Ribbons are elastic bodies of thickness and width with (after appropriate nondimensionalization). Many ribbons in nature have a non-trivial internal geometry,…
On material-uniform elastic bodies with disclinations and their homogenization
Cy Maor
In this note, we define material-uniform hyperelastic bodies (in the sense of Noll) containing discrete disclinations and dislocations, and study their properties. We show in a rig…