Existence and uniqueness for the linear Koiter model for shells with little regularity
Adel Blouza, Hervé Le Dret · Quarterly of Applied Mathematics · 1999
We give a simple proof of existence and uniqueness of the solution of the Koiter model for linearly elastic thin shells whose midsurfaces can have charts with discontinuous second derivatives. The proof is based on new expressions for the linearized strain and change of curvature tensors. It also makes use of a new version of the rigid displacement lemma under hypotheses of regularity for the displacement and the midsurface of the shell that are weaker than those required by earlier proofs.