Field-Consitent strain interpolations for the quadratic shear flexible beam element

Prathap, Gangan and Ramesh Babu, C (1985) Field-Consitent strain interpolations for the quadratic shear flexible beam element. Technical Report. National Aeronautical Laboratory, Bangalore,India.

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Abstract

A shear flexible (i,e Timoshenko) quadratic isoparametric beam element with three degrees of freedom per node is critically examined from the point of view of the consistency of the constrained strain fields that arise in the thin beam limits.The errors, in terms of convergence of displacement fields and violent oscillations of stress fields that emerge when exactly integrated elements are used. are predicted a priori and confirmed with numerical experiments.The rationale behind the use of optimal stress sampling at gaussian points is also derived directly from these arguments.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Finite element;Field consistency;Shear flexible;Beam;Stres oscillations
Subjects: ENGINEERING > Structural Mechanics
Depositing User: M/S ICAST NAL
Date Deposited: 10 Nov 2006
Last Modified: 02 Sep 2015 08:25
URI: http://nal-ir.nal.res.in/id/eprint/3209

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