Field-consistency and violent stress oscillations in the finite element method 13; 13;

Prathap, Gangan and Rameshbabu, C (1987) Field-consistency and violent stress oscillations in the finite element method 13; 13;. International Journal for Numerical Methods in Engineering, 24 . pp. 2017-2033.

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Abstract

The fact that finite element models can give rise to violent stress oscillations and that there are optimal locations where stresses can be correctly sampled in spite of the presence of these violent stress fluctuations has been known for some time. However, it is less well known that these oscillations arise in a specific class of problems - where there are multiple strain fields arising from one or more field-variables and where one or more of these strain fields must be constrained in particular physical limits. In this paper, it is shown that unless the interpolations for these constrained strain fields are 'field-consistent', violent oscillations would set in. These oscillations represent spurious self- equilibrating stress-fields generating spurious energy terms that lead to 'locking'. The field-consistency interpretation offers a conceptual scheme to delineate these problems, and an operational procedure called the functional reconstitution technique allows the errors resulting from field- inconsistency to be anticipated a priori.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to John Wiley amp; Sons Ltd.
Uncontrolled Keywords: Axialloads;Bending moments;Finite element method;Stress distribution;Discrete functions;Least squares method;Modulus of elasticity;Shear properties;Timoshenko beams
Subjects: ENGINEERING > Structural Mechanics
AERONAUTICS > Aerodynamics
Division/Department: Structures Division, Structures Division
Depositing User: M/S ICAST NAL
Date Deposited: 26 Oct 2006
Last Modified: 24 May 2010 09:52
URI: http://nal-ir.nal.res.in/id/eprint/3137

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