Isoparametric quadratic thick curved beam element

Prathap, Gangan and Rameshbabu, C (1986) Isoparametric quadratic thick curved beam element. International Journal for Numerical Methods in Engineering, 23 (9). pp. 1583-1600.

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Abstract

A three-noded curved beam element with transverse shear deformation, based on independent isoparametric quadratic interpolations, is designed from field-consistency principles. It is shown that a quadratic element that is field-inconsistent in membrane strain suffers from 'membrane locking' - i. e. an error of the second kind propagates indefinitely as the element length to thickness ratio and/or the element length to radius of curvature ratio increase, in nearly inextensional bending. However, field-inconsistency in shear strain does not lead to 'shear locking' but degrades its performance to exactly that of a field-consistent linear element. It is also seen that field-inconsistency leads to severe axial force and shear force oscillations. Error estimates for locking are derived, wherever possible, and confirmed by numerical experiments. The field-consistent element offered here is the most efficient quadratic curved beam element possible.

Item Type: Journal Article
Uncontrolled Keywords: Mathematical techniques-Finite Element Method;Curved beam element;Membrane locking;Beams and girders
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Structures Division, Structures Division
Depositing User: Ms. Alphones Mary
Date Deposited: 30 Oct 2006
Last Modified: 24 May 2010 09:38
URI: http://nal-ir.nal.res.in/id/eprint/454

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