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

Kang, David S.; Pian, Theodore H. H.

Comput. Struct. 30, No. 4, 789-794 (1988).

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

Keywords:

Hellinger-Reissner principle; relaxed element compatibility conditions; thin shell theory; Love-Kirchhoff hypothesis; quadrilateral shape; four corner nodes; five degrees of freedom per node; cubic polynomial surface patch

Citations:

Zbl 0674.73056