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A simple shell element with three nodes for finite rotations and elastoplasticity. (Un élément de coque simple à trois nœuds en grandes rotations et élastoplasticité.) (French) Zbl 0960.74062

Fortin, Michel (ed.), Plates and shells. 1996 Summer seminar of the Canadian Mathematical Society, Québec, Canada, July 22-27, 1996. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 21, 95-108 (1999).
Summary: We present a simple shell element for the analysis of geometrical and material nonlinearities with finite rotations. The Reissner-Mindlin kinematics is considered with an explicit integration through the thickness. Displacements and rotations are exactly updated. We use a constant assumed shear strain field to avoid the shear locking in the thin shell limit. The consistent tangent stiffness matrix is symmetric, and is given explicitly. Two rotational variables are used at each node which leads to 15 degree-of-freedom triangular shell element. We show that this type of element gives good results in linear and nonlinear applications. Its performance is demonstrated on a number of examples selected from the literature.
For the entire collection see [Zbl 0919.00081].

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
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