Research Article
Aug 1976
Doubled-Curved Element for Mooney-Rivlin Membranes
Authors: John W. Leonard, M.ASCE, and Vijay K. VermaAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 4
Abstract
In this study a finite element model for the nonlinear static behavior of extremely thin arbitrary shaped membrane shells has been developed using curved elements. The governing stiffness equations are derived from the fully nonlinear theory of hyperelasticity. No limitations are imposed on the magnitudes of displacements or strains. A curved quadrilateral element has been used for the membrane. The nonlinear equations obtained are solved using a combined incremental and Newton-Raphson iterative technique. Two example problems have been considered to demonstrate the potential of the curved elements derived. For those example problems considered close agreement with the results of others were obtained.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 4 • August 1976
Pages: 625 - 641
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Aug 1976
Published online: Feb 3, 2021
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John W. Leonard, M.ASCE
Prof. of Civ. Engrg., Illinois Inst. of Tech., Chicago, Ill.
Vijay K. Verma
Sr. Engrg. Analyst, Sargent & Lundy Engrg., Chicago, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.