Two finite element approximations of Naghdi’s shell model in Cartesian coordinates. (English) Zbl 1109.74048

Summary: We present a penalized version of Naghdi’s model and a mixed formulation of the same model, in Cartesian coordinates for linearly elastic shells with little regularity, and finite element approximations thereof. Numerical tests are given that validate and illustrate our approach.


74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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