Consistency and orthogonality requirements and accurate stress recovery from the assumed strain eight noded quadrilateral plate bending element

Prathap, Gangan and Naganarayana, BP (1988) Consistency and orthogonality requirements and accurate stress recovery from the assumed strain eight noded quadrilateral plate bending element. Technical Report. National Aeronautical Laboratory, Bangalore,India.

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    Abstract

    Successful recent 'attempts at designing an eight- node13; isoparametric Mindlin plate bending element have been based on what are called assumed strain or mixed interpolation methods.These are free of locking for all boundary condition suppressions and for general quadrilateral shape for a wide range of element13; side to thickness ratio and are without kinematic modes. However,they also result in very poor transverse shear stress resultants.In this paper, we shall examine two successful displacement method procedures (a field-consistency approach and a line-consistency approach) and show that the one based on a variationally correct field-consistency paradigm alonegives accurate displacements and stresses, and the line-consistent elements which are not variationally correct (i.e. non-orthogonal assumed strain are used) gives accurate displacements but poor shear stess resultats due to spurious shear stress oscillations. The recovery of accurate transverse shear stress.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Finite element method;Field consistency;8-node plate element;Assumed strain method
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, Structures Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 11 Nov 2006
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3255

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