Skip to main content

Research Repository

Advanced Search

One point quadrature shell element with through-thickness stretch

Cardoso, Rui P.R.; Yoon, Jeong Whan


Rui P.R. Cardoso

Jeong Whan Yoon


A general purpose one point quadrature shell element accounting for through-thickness deformation is developed. In the shell, a complete 3-D constitutive law is introduced, leading to a 7-parameter theory which explicitly accounts for thickness change and also for a linear variation of thickness stretch. An interpolation scheme for the shell director is developed to avoid thickness locking. The developed shell element covers flexible warping behavior by using a local nodal coordinate system at each node, which is updated with second order accuracy. A physical stabilization scheme for zero energy modes is employed based on the decomposition of the strain field into constant and linear terms with respect to the natural coordinates. The rigid body projection is applied to treat rigid body rotations effectively. Linear and nonlinear patch tests including elasto-plasticity and contact are performed and the results are compared with analytical or previously reported results. The results are also compared with those of 5-parameter shell elements, in order to show that there is no significant deterioration in accuracy, especially for thin shell applications. © 2004 Elseveir B.V. All rights reserved.


Cardoso, R. P., & Yoon, J. W. (2005). One point quadrature shell element with through-thickness stretch. Computer Methods in Applied Mechanics and Engineering, 194(9-11), 1161-1199.

Journal Article Type Article
Publication Date Mar 18, 2005
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 194
Issue 9-11
Pages 1161-1199
Keywords finite element method, thickness stretch, shell element,
one point quadrature, physical stabilization
Public URL
Publisher URL

Downloadable Citations