Formulation et évaluation d’un modèle d’élément fini discret au sens de Mindlin pour l’analyse des structures isotropes

This work deals with a displacement formulation using local discrete hypothesises, to lead to a simple and accurate shell finite element. A first kinematic hypothesis allows introducing the transverse displacement in the 4 corner nodes. The other 4 mid-side nodes are eliminated using a 2nd mechanical hypothesis. The new element DMQS (Discrete Mindlin Quadrilateral for Shells) has 4 nodes and 6 dofs/node. Its numerical performances are analysed using some known standard tests. It can be considered as an alternative to thin structure finite elements without transverse shear, called Discrete Kirchooff Elements.