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math.AP2024
Commutativity and non-commutativity of limits in the nonlinear bending theory for prestrained microheterogeneous plates
Klaus Boehnlein, Lucas Bouck, Stefan Neukamm +2
In this paper we study the derivation of nonlinear bending models for prestrained elastic plates from three-dimensional non-linear elasticity via homogenization and dimension reduc…
math.AP2022
A nonlinear bending theory for nematic LCE plates
Sören Bartels, Max Griehl, Stefan Neukamm +2
In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the b…
math.AP2019
An Asymptotic Variational Problem Modeling a Thin Elastic Sheet on a Liquid, Lifted at One End
David Padilla-Garza
We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gr…