Journal of Convex Analysis 12 (2005), No. 2, 365--382
Copyright Heldermann Verlag 2005
Variational formulations on Thin Elastic Plates with Constraints
Omar Anza Hafsa
Institute of Mathematics, University of Zürich, Winterthurerstr. 190, 8057 Zürich, Switzerland
anza@math.unizh.ch
We derive variational formulations for thin elastic plates from bulk energies by dimensional reduction. The main feature is to consider a family of problems with internal constraints on normal deformations. Our approach consists of two stages. First we obtain an abstract variational convergence result. Then we study the integral representation of the limit functional.
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