Abstract
We consider linearly elastic shells whose middle surfaces have the most general geometries, and we provide complete proofs of the ellipticity of the strain energies found in two commonly used two-dimensional models: Koiter's model and Naghdi's model.
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This work is part of the Project “Junctions in Elastic Multi-Structures” of the Program “S.C.I.E.N.C.E.” of the Commission of the European Communities (ContractnSC1 * 0473-C(EDB)).
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Bernadou, M., Ciarlet, P.G. & Miara, B. Existence theorems for two-dimensional linear shell theories. J Elasticity 34, 111–138 (1994). https://doi.org/10.1007/BF00041188
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DOI: https://doi.org/10.1007/BF00041188