20 citations · 173 across the 34 of their papers we have counts for
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math.DG2020★ 4 cited
Asymptotic rigidity for shells in non-Euclidean elasticity
Itai Alpern, Raz Kupferman, Cy Maor
We consider a prototypical "stretching plus bending" functional of an elastic shell. The shell is modeled as a d-dimensional Riemannian manifold endowed, in addition to the metric,…
math.AP2020★ 14 cited
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…
math.DG2020★ 9 cited
Sobolev metrics on spaces of manifold valued curves
Martin Bauer, Cy Maor, Peter W. Michor
We study completeness properties of reparametrization invariant Sobolev metrics of order on the space of manifold valued open and closed immersed curves. In particular, fo…