Field and edge consistency synthesis of a 4-Noded quadrilateral plate bending element

Prathap, Gangan and Somashekar, BR (1987) Field and edge consistency synthesis of a 4-Noded quadrilateral plate bending element. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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In this paper, we demonstrate the use of two conceptual13; principles, the field-consistency requirement and the edge-13; consistency requirement as the basis for deriving a 4-noded13; quadrilateral plate bending element based on Mindlin plate13; theory using Jacobean transformations only. The derivation is now free of the use of such devices as strain-interpolation points and Hrennikoff strain reference lines etc., which have been the basis for many recent formulations of this element. The shear strain constraints are now consistently defined within the element dornain, and 'tangential' shear strains are consistently matched at element boundaries so that there is no locking even13; under extreme distortion - e.g. even when two nodes are collapsed so that the quadrilateral becomes a triangle. Numerical experiments show that this synthesis produces an element that should be identical to other recent formulations of this element based on tensorial transformations or on shear constraint condensation on the edges, but now given a more complete and formal logical basis.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Finite element method;Field -consistency;Edge-consistency 4-node plate element
Subjects: ENGINEERING > Structural Mechanics
Depositing User: M/S ICAST NAL
Date Deposited: 23 Oct 2006
Last Modified: 24 May 2010 04:22

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