Penalty Finite Element Formulation for Curved Elastica
Publication: Journal of Engineering Mechanics
Volume 110, Issue 5
Abstract
A simple penalty finite element formulation is presented for the large‐rotation and postbuckling analyses of curved beams. The analytical formulation is based on a form of Reissner's large‐deformation theory with the transverse shear deformation and the extensibility of the center line constrained through the use of the penalty method. Reduced integration is used in evaluating the elemental arrays, and a procedure is outlined for determining the critical points in the solution path. Numerical results are presented to demonstrate the effectiveness of the finite elements developed.
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Published In
Journal of Engineering Mechanics
Volume 110 • Issue 5 • May 1984
Pages: 694 - 712
Copyright
Copyright © 1984 ASCE.
History
Published online: May 1, 1984
Published in print: May 1984
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