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Development of a one point quadrature shell element for nonlinear applications with contact and anisotropy

Cardoso, Rui P.R.; Gracio, Jose; Yoon, Jeong Whan; Barlat, Frederic; Cesar de Sa, J.M.A.


Rui P.R. Cardoso

Jose Gracio

Jeong Whan Yoon

Frederic Barlat

J.M.A. Cesar de Sa


A general purpose shell element for nonlinear applications including sheet metal forming simulation is developed based on reduced integration with one point quadrature. The developed shell element has five degrees of freedom and four nodes. It covers flexible warping behavior without artificial warping correction. A physical stabilization scheme with the assumed natural strain method is employed to derive a strain field that can be decomposed into the sum of a constant and a linear term with respect to the natural coordinates. The rigid body projection is introduced to treat rigid body rotations effectively. The shell element incorporates elasto-plastic planar anisotropic material models based on the incremental deformation theory. Linear and nonlinear patch tests are performed and the results are compared with analytical or previously reported results. Simulations that include impact and deformable body contact are performed to show the robustness of the contact algorithm. Finally, to demonstrate the capability of handling anisotropic materials, the developed shell element is used for the circular cup drawing process simulation in order to predict the earing profile of Al 2008-T4 alloy sheet. © 2002 Elsevier Science B.V. All rights reserved.


Cardoso, R. P., Yoon, J. W., Gracio, J., Barlat, F., & Cesar de Sa, J. (2002). Development of a one point quadrature shell element for nonlinear applications with contact and anisotropy. Computer Methods in Applied Mechanics and Engineering, 191(45), 5177-5206.

Journal Article Type Article
Publication Date Oct 25, 2002
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 191
Issue 45
Pages 5177-5206
Keywords one point quadrature shell element, nonlinear applications, contact, anisotropy, 14, 28, 67, 80
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