A versatile and low order hybrid stress element for general shell geometryA 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 consistent first order thin shell theory with Love Kirchhoff hypotheses. 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 bi-cubic polynomial surface patch. Numerical examples consist of torsion-loaded slit cylinder and pinched cylinder with open ends and rigid diaphragmed ends. Also, the representation of the rigid body motion is studied by series of parametric eigenvalue analysis of the stiffness matrix.
Document ID
19870046350
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kang, David S. (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Pian, Theodore H. H. (MIT Cambridge, MA, United States)