Mechanics of field-consistency in finite element analysis - a penalty function approach

Ramesh Babu, C and Subramanian, G and Prathap, Gangan (1985) Mechanics of field-consistency in finite element analysis - a penalty function approach. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

Although C' continuous beam, plate and shell elements have13; become very popular, a simple understanding of several13; diffcultie such as shear locking, parasitic shear, stress13; oscillations etc. is not yet available in the literature. In displasement type finite element formulations, these difficulties can be easily rationaliscd using 'field-consistency' concepts and of these difficulties can quantitative error estimates also be made using an operational procedure called the 'functional re- constitution' technique. In this paper we demonstrate the mechanics of these concepts using the simplest shear: flexible beam element ( linear Timoshenko beam element) as13; exilayle, and verily its apriori projections through digital computations. The rationale behind the use of optimal stress sampliing at Gaussian points is also derived directly from these argurnents.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Finite element;Field-consistency;Shear flexible;Beam;Stress oscillations;Energy
Subjects: ENGINEERING > Structural Mechanics
Depositing User: Users 90 not found.
Date Deposited: 11 Aug 2008
Last Modified: 02 Sep 2015 08:22
URI: http://nal-ir.nal.res.in/id/eprint/2870

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