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

Prathap, Gangan and Ramesh Babu, C (1986) Field-consistent strain interpolations for the quadratic shear flexible beam element. International Journal for Numerical Methods in Engineering, 23 (11). pp. 1973-1984.

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Abstract

A shear flexible (i.e. Timoshenko) quadratic isoparametric beam element with two 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: Journal Article
Additional Information: Copyright of this article belongs to Wiley Interscience.13;
Uncontrolled Keywords: Mathematical techniques-Finite element method;Field consistency;Shear Stresses;Beams and girders
Subjects: ENGINEERING > Electronics and Electrical Engineering
Division/Department: Structures Division, Structures Division
Depositing User: Ms. Alphones Mary
Date Deposited: 17 Jun 2005
Last Modified: 24 May 2010 09:38
URI: http://nal-ir.nal.res.in/id/eprint/446

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