On the stabilization of the rectangular 4‐node quadrilateral element

authored by: U. Hueck, B. D. Reddy, Peter Wriggers
Abstract: The standard bilinear displacement field of the plane linear elastic rectangular 4‐node quadrilateral element is enhanced by incompatible modes. The resulting gradient operators are separated into constant and linear parts corresponding to underintegration and stabilization of the element stiffness matrix. Minimization of potential energy is used to generate exact analytical expressions for the hourglass stabilization of the rectangle. The stabilized element is shown to coincide with the element obtained by the mixed assumed strain method.
External Organisation(s): Technische Universität Darmstadt
University of Cape Town (UCT)
Type: Article
Journal: Communications in Numerical Methods in Engineering
Volume: 10
Pages: 555-563
No. of pages: 9
ISSN: 1069-8299
Publication date: 07.1994
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Software, Modelling and Simulation, Engineering(all), Computational Theory and Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1002/cnm.1640100707 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"