Displacement and stress predictions from field- and line-consistent versions of the eight-node Mindlin plate element

Naganarayana, BP and Prathap, Gangan (1989) Displacement and stress predictions from field- and line-consistent versions of the eight-node Mindlin plate element. Computers and Structures, 33 (4). pp. 1095-1106. ISSN 0045-7949

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Abstract

Two successful displacement method procedures (a field-consistency approach and a line-consistency approach) are examined, and,proceeding from these, three accurate versions of the eight-node Mindlin plate element - one based on a variationally correct field-consistency paradigm alone, and two versions derived from the need to ensure consistency of tangential shear strains along principal reference lines - are designed. The latter two have shear strain definitions that leave the element free of all problems (locking and kinematic modes) for all boundary suppressions and element distortions, whereas the former has two kinematic modes. These line-consistent elements, however, introduce spurious quadratic shear stress oscillations as they have not been derived in a variationally correct sense. The recovery of accurate transverse shear stress resultants must therefore be performed very carefully, and a filtering technique is implemented for this.

Item Type: Article
Additional Information: Copyright for this article belongs to Elsevier Science
Uncontrolled Keywords: Accuracy;Kinematics;Mindlin plates;Shear stress; Displacement;Strain;Oscillations;Locking;Stresses; Filtration;Boundary element method;Distortion;Recovery; Bending moments;Isoparametric finite elements;Plate theory; Rectangular plates;Shear strain;Thin plates
Subjects: ENGINEERING > Structural Mechanics
ENGINEERING > Mechanical Engineering
Depositing User: Users 90 not found.
Date Deposited: 09 Feb 2010
Last Modified: 07 May 2012 05:33
URI: http://nal-ir.nal.res.in/id/eprint/4419

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