A nonlinear quadrilateral shell element with drilling degrees of freedom

authored by
F. Gruttmann, W. Wagner, Peter Wriggers
Abstract

A bending theory for thin shells undergoing finite deformations is presented, and its associated finite element model is described. The kinematic assumptions are of Reissner-Mindlin type. The formulation is based on the introduction of a mixed functional with independent in-plane rotation field and skew-symmetric part of membrane forces. The resulting Euler-Lagrangian equations yield the equilibrium of stress resultants and the couple resultant with respect to the surface normal. Furthermore, the equality of the independent rotation field with the displacement dependent rotation field is enforced. Hence, the symmetry of the stress resultants is fulfilled in a weak sence. Naturally, the development of a quadrilateral finite element includes drilling degrees of freedom. The displacement field is approximated using an Allman-type interpolation.

External Organisation(s)
Technische Universität Darmstadt
Type
Article
Journal
Archive of applied mechanics
Volume
62
Pages
474-486
No. of pages
13
ISSN
0939-1533
Publication date
07.1992
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Mechanical Engineering
Electronic version(s)
https://doi.org/10.1007/BF00810238 (Access: Unknown)
 

Details in the research portal "Research@Leibniz University"