Stress oscillations in plane stress modelling of flexure - A field-consistency interpretation

Prathap, Gangan and Ramesh Babu, C and Subramanian, G (1987) Stress oscillations in plane stress modelling of flexure - A field-consistency interpretation. International Journal for Numerical Methods in Engineering, 24 (4). pp. 711-724. ISSN 0029-5981

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Abstract

Exactly integrated isoparametric plane stress elements behave poorly in flexure. The four-noded element 'locks', with errors that progress indefinitely as element aspect ratio increases. Reduced integration of the shear strain energy eliminates this locking entirely. The eight-noded element does not lock, but improves in performance with13; reduced integration of shear strain energy. Both elements, with their original shape functions, show severe shear stress oscillations in flexure. In this paper these oscillations are attributed to the lack of 'consistency' of shear strain fields derived directly from independent field-variable interpolations. Error models are derived for specific tractable examples which can confirm the accuracy of this conceptual scheme through digital computation using the finite element models. A field-consistent redistribution strategy for the shear strain field is offered as an elegant procedure to free the elements of spurious oscillations and give a 'lock'-free performance.

Item Type: Journal Article
Uncontrolled Keywords: Bending vibration;Finite element method;Flexing;Plane strain;Plane stress;Stress analysis;Beams (Supports);Isoparametric finite elements;Oscillations;Shear strain;Shear stress;Strain distribution
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Structures Division, Structures Division, Structures Division
Depositing User: M/S ICAST NAL
Date Deposited: 03 Jan 2008
Last Modified: 24 May 2010 09:55
URI: http://nal-ir.nal.res.in/id/eprint/4343

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