A hybrid formulation for Naghdi’s shell model. (Une formulation hybride du modèle de coque de Naghdi.) (French. Abridged English version) Zbl 1410.74043

Summary: We present a new version of the Naghdi model for shells with curvature discontinuities. The unknowns - the displacement and the rotation of the normal to the shell midsurface - are described respectively in Cartesian and local covariant or contravariant basis. Our purpose here is to consider a constraint-free formulation instead of the one introduced by A. Blouza et al. [SIAM J. Numer. Anal. 44, No. 2, 636–654 (2006; Zbl 1109.74048)], where the tangency character of the rotation is enforced by penalization or by duality. This new version enables us, in particular, to approximate by conforming finite elements the solution with less degrees of freedom compared to the method of Blouza et al. [loc. cit.].


74K25 Shells
74S05 Finite element methods applied to problems in solid mechanics


Zbl 1109.74048
Full Text: DOI


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