Reduced integration and the shear-flexible beam element

Prathap, Gangan and Bhashyam, GR (1982) Reduced integration and the shear-flexible beam element. International Journal for Numerical Methods in Engineering, 18 . pp. 195-210. ISSN 0029-5981

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Abstract

The Timoshenko beam element is studied in an investigation of shear locking in the development of C(0) continuous elements using shear-flexible or penalty function type formulations. A penalty type argument is used to degenerate thick elements to thin elements, and the various approximations of the shear related energy terms act as different types of constraints. Depending on the formulation, two types of constraints may emerge, which are classified as true or spurious. Formulations that ensure only true constraints in the extreme penalty limit cases display superior performance in the thick element situation. The argument is extended to a shallow curved Timoshenko beam, and another mechanism, inplane locking, arises if all energy terms corresponding to the membrane energy are exactly integrated.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to John Wiley amp; Sons, Inc.
Uncontrolled Keywords: Beams (supports);Finite element method;Numerical integration;Structural analysis; Timoshenko beams; Constraints; Deflection;Locking; Matrix methods; Penalty function; Strain energy methods
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Structures Division, Structures Division
Depositing User: Ms. Alphones Mary
Date Deposited: 17 Nov 2005
Last Modified: 24 May 2010 09:39
URI: http://nal-ir.nal.res.in/id/eprint/860

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