Field-consistent and variationally correct representation of transverse shear strains in the nine-noded plate element

Naganarayana, BP and Prathap, Gangan and Dattaguru, B and Ramamurty, TS (1992) Field-consistent and variationally correct representation of transverse shear strains in the nine-noded plate element. Computer Methods in Applied Mechanics and Engineering, 97 (3). pp. 355-374.

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Abstract

We present a biquadratic Lagrangian plate bending element with consistent fields for the constrained transverse shear strain functions. A technique involving expansion of the strain interpolations in terms of Legendre polynomials is used to redistribute the kinematically derived shear strain fields so that the field-consistent forms (i.e. avoiding locking) are also variationally correct (i.e. do not violate the variational norms). Also, a rational method of isoparametric Jacobian transformation is incorporated so that the constrained covariant shear strain fields are always consistent in whatever general quadrilateral form the element may take. Finally the element is compared with another formulation which was recently published. The element is subjected to several robust bench mark tests and is found to pass all the tests efficiently.

Item Type: Journal Article
Uncontrolled Keywords: Bending (deformation); Polynomials; Shear stress; Strain; Lagrange plate bending element; Legendre polynomials; Nine-noded plate element; Transverse shear strains; Variationally correct representation; Plates (structural components);
Subjects: AERONAUTICS > Aircraft Design, Testing & Performance
Division/Department: Other, CSIR Centre for Mathematical Modelling and Computer Simulation, Other, Other
Depositing User: Mr Vijaianand SK
Date Deposited: 10 Mar 2005
Last Modified: 24 May 2010 09:38
URI: http://nal-ir.nal.res.in/id/eprint/372

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