Brief Report
Sep 1975
Finite Element for Buckling of Curved Beams and Shells with Shear
Publication: Journal of the Structural Division
Volume 101, Issue 9
Abstract
Inclusion of shear deformations allows the bending theory to be extended to relatively thick beams and shells and, at the same time, simplifies the finite element formulation for both thick and thin beams because monotonic convergence may be achieved without ensuring continuity of displacement derivatives between adjacent elements. Consequently, on may use low order interpolation polynomials, including linear ones. This is particularly useful in the case of curved beams because with higher order interpolation polynomials it is very difficult to satisfy exactly the conditions of no self-staining at rigid body rotations and of availability of all constant strain states, while with linear displacement interpolation polynomials and a straight shape of the element these requirements are easily met.
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Information
Published In
Journal of the Structural Division
Volume 101 • Issue 9 • September 1975
Pages: 1997 - 2004
Copyright
© 1975 American Society of Civil Engineers.
History
Published in print: Sep 1975
Published online: Feb 1, 2021
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Authors
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Zdeněk P. Bažant, M.ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
Mahjoub El Nimeiri
Struct. Analyst, Joslyn Manufacturing & Supply Co., Woodstock, Ill.; formerly, Grad. Student, Northwestern Univ., Evanston, 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.
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.
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.