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A 20-DOF hybrid stress general shell element. (English) Zbl 0674.73055

Summary: A hybrid stress general shell element is developed based on the Hellinger-Reissner principle modified for relaxed element compatibility conditions. The element is based on a thin shell theory with Love- Kirchhoff hypothesis. It is of quadrilateral shape with only four corner nodes and five degrees of freedom per node. The geometry of the element is approximated through a cubic polynomial surface patch. Numerical examples consisting of torsion-loaded slit cylinder and pinched cylinders with open ends and rigid diaphragmed ends demonstrate excellent performance of the present element.

MSC:

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

Citations:

Zbl 0674.73056
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