Finite element approximation of geometrically exact thin shell models. (Approximations par éléments finis d’un modèle de coques minces géométriquement exact.) (French) Zbl 0924.73267

Summary: The purpose of this work is to develop finite element models for geometrically exact nonlinear shells. The originality of our approach is to work in a fixed cartesian basis. After a brief introduction of the shell model, the paper presents two finite elements approximations specially developed for this problem. The first uses conforming Argyris triangles, the second develops nonlinear DKT triangles. Both models use the final position of the middle surface and its derivatives as degrees of freedom. They are then validated by several numerical tests.


74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
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