Stress oscillations and spurious load mechanisms in variationally inconsistent assumed strain formulations

Prathap, Gangan and Naganarayana, BP (1992) Stress oscillations and spurious load mechanisms in variationally inconsistent assumed strain formulations. International Journal for Numerical Methods in Engineering, 33 (10). pp. 2181-2197. ISSN 0029-5981

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Abstract

Assumed field-consistent strain formulations of the displacement finite element procedure can lead to poor13; convergence and spurious stress oscillations if the assumed strain fields are not variationally correct, ie. they do not satisfy an important orthogonality condition emerging from the equivalence sought between assumed strain displacement procedures and mixed procedures based on the Hellinger-Reissner theorem. Failure to ensure variational correctness introduces errors which can be equated to the presence of spurious loading mechanisms that cause stress oscillations. In this paper, we use the Timoshenko beam element to demonstrate that field-consistency and variational consistency are two complementary but mutually exclusive principlesx2014;one does not imply the other and that both are necessary to successfully implement a displacement type finite element for constrained media.

Item Type: Article
Additional Information: Copyright for this article belongs to John Wiley amp; Sons.
Uncontrolled Keywords: Finite element method;Reissner theory;Strain distribution; Stress analysis;Timoshenko beams;Cantilever beams;Flexible bodies;Shear strain
Subjects: ENGINEERING > Structural Mechanics
Depositing User: Users 64 not found.
Date Deposited: 12 Oct 2006
Last Modified: 24 May 2010 04:21
URI: http://nal-ir.nal.res.in/id/eprint/2964

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