On the numerical performance of three-dimensional thick shell elements using a hybrid/mixed formulation

Authors:
W. Graf;T. Y. Chang;A. F. Saleeb
Affiliations:
Department of Civil Engineering, University of Akron, Akron, OH 44325, U.S.A.;Department of Civil Engineering, University of Akron, Akron, OH 44325, U.S.A.;Department of Civil Engineering, University of Akron, Akron, OH 44325, U.S.A.
Venue:
Finite Elements in Analysis and Design
Year:
1986

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Abstract

Three-dimensional thick shell elements with 8, 16, and 18 nodes are formulated by using the hybrid/mixed method. In bending applications, these elements are free from locking effect and give improved stress predictions. Finite element equations are derived from the Hellinger-Reissner variational principle in which both the displacement and stress fields are approximated by independent interpolation functions. For the assumption of stress parameters, three guidelines are followed: (i) suppression of kinematic deformation modes, (ii) invariant element property, and (iii) the constraint index exhibited by the element, when applied to constrained-media problems, must be greater than or equal to one. Numerical results are presented to show the element's behavior characteristics regarding sensitivity to locking, distortion effect (patch tests), mesh convergence and the accuracy of stress evaluation.