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Existence and uniqueness for Koiter’s model for shells with little regularity. (Existence et unicité pour le modèle de Koiter pour une coque peu régulière.) (French. Abridged English version) Zbl 0813.73039

Summary: We give a simple proof of existence and uniqueness for Koiter’s model for shells whose midsurface can have charts with discontinuous second derivatives. This improves earlier proofs by M. Bernadou and P. G. Ciarlet [Lect. Notes Econ. math. Syst. 134, 89-136 (1976; Zbl 0356.73066)], and by M. Bernadou, P. G. Ciarlet and B. Miara [J. Elasticity 34, No. 2, 111-138 (1994; Zbl 0808.73045)], for \(C^ 3\)- surfaces.

MSC:

74K25 Shells
35Q74 PDEs in connection with mechanics of deformable solids
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