Loosely inspired by the somewhat fanciful notion of detecting an arbitrarily advanced alien civilization, we consider a general-relativistic thin-shell Dyson mega-sphere completely enclosing central star-like object, and perform full analysis using Israel--Lanczos--Sen junction conditions. We focus attention on surface mass density, stress, classical energy conditions, forces between hemisphere...

We study the thin-shell limit of the nonlinear elasticity model for vesicles introduced in part I. We consider vesicles of width 2ε ↓ 0 with elastic energy of order ε. In this regime, we show that the limit model is a bending theory for generalized hypersurfaces— namely, co-dimension one oriented varifolds without boundary. Up to a positive factor, the limit functional is the Willmore energy. I...

We probe the local mechanical properties of microtubules at the nanometer scale by radial indentation with a scanning force microscope tip. We find a linear elastic regime that can be described by both thin-shell theory and finite element methods, in which microtubules are modeled as hollow tubes. We also find a nonlinear regime and catastrophic collapse of the microtubules under large loads. T...

We propose a nonlinear elasticity model for vesicle membranes which is an Eulerian version of a model introduced by Pantz and Trabelsi. We describe the limit behavior of sequences of configurations whose energy goes to 0 in a fixed domain. The material is highly anisotropic and the analysis is based on some rigidity estimates adapted to this anisotropy. The main part of the paper is devoted to ...

We propose a nonlinear elasticity model for vesicle membranes which is an Eulerian version of a model introduced by Pantz and Trabelsi. We describe the limit behavior of sequences of configurations whose energy goes to 0 in a fixed domain. The material is highly anisotropic and the analysis is based on some rigidity estimates adapted to this anisotropy. The main part of the paper is devoted to ...

band-to-band transitions, phonon modes, and oxidation properties of cobalt-oxide core-shell slanted columnar thin films" (2016).

We study the thin-shell limit of the nonlinear elasticity model for vesicles introduced in part I. We consider vesicles of width 2ε ↓ 0 with elastic energy of order ε 3. In this regime, we show that the limit model is a bending theory for generalized hypersurfaces — namely, co-dimension 1 oriented varifolds without boundary. Up to a positive factor, the limit functional is the Willmore energy. ...