20 citations · 173 across the 34 of their papers we have counts for
10 papers · 1 filter
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…
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,…
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…
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 fro…
Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces
Cy Maor, Maria Giovanna Mora
We rigorously derive linear elasticity as a low energy limit of pure traction nonlinear elasticity. Unlike previous results, we do not impose any restrictive assumptions on the for…
A simple example of the weak discontinuity of
Cy Maor
Verifying lower-semicontinuity of integral functionals in the weak topology of Sobolev spaces is a central theme in the calculus of variations. For integral functionals with -gr…