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

Ramesh Babu, C and Subramanian, G and Prathap, Gangan (1987) Mechanics of field-consistency in finite element analysis - A penalty function approach. Computers and Structures, 25 (2). pp. 161-173. ISSN 0045-7949

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Abstract

Although Co continuous beam, plate and shell elements have become very popular, a simple understanding of several difficulties such as shear locking, parasitic shear, stress oscillations, etc. is not yet available in the literature. In displacement type finite element formulations, these difficulties can be easily rationalized using quot;field-consistencyquot; concepts and a priori quantitative error estimates of these difficulties can also be made using an operational procedure called the quot;functional re-constitutionquot; technique. In this paper we demonstrate the mechanics of these concepts using the simplest shear flexible beam element (linear Timoshenko beam element) as an example, and verify its a prior projections through digital computations. The rationale behind the use of optimal stress sampling at Gaussian points is also derived directly from these arguments.

Item Type: Article
Additional Information: Copyright for this article belongs to Elsevier Science Ltd.
Uncontrolled Keywords: Field-consistency;Priori quantitative error;Linear timoshenko;Functional re-constitution
Subjects: ENGINEERING > Structural Mechanics
Depositing User: Users 90 not found.
Date Deposited: 02 Nov 2006
Last Modified: 02 Sep 2015 08:21
URI: http://nal-ir.nal.res.in/id/eprint/3043

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