Mechanics of field-consistency in finite element analysis - a penalty function approach

Rameshbabu, C and Subramanian, G and Prathap, Gangan (1985) Mechanics of field-consistency in finite element analysis - a penalty function approach. Technical Report. National Aeronautical Laboratory, Bangalore, India.

Full text available as:
[img] PDF
Restricted to Archive staff only

Download (4Mb)

    Abstract

    Although C' continuous beam, plate and shell elements have13; become very popular, a simple understanding of several13; diffcultie such as shear locking, parasitic shear, stress13; oscillations etc. is not yet available in the literature. In displasement type finite element formulations, these difficulties can be easily rationaliscd using 'field-consistency' concepts and of these difficulties can quantitative error estimates also be made using an operational procedure called the 'functional re- constitution' technique. In this paper we demonstrate the mechanics of these concepts using the simplest shear: flexible beam element ( linear Timoshenko beam element) as13; exilayle, and verily its apriori projections through digital computations. The rationale behind the use of optimal stress sampliing at Gaussian points is also derived directly from these argurnents.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Finite element;Field-consistency;Shear flexible;Beam;Stress oscillations;Energy
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division, Structures Division, Structures Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 11 Aug 2008
    Last Modified: 24 May 2010 09:51
    URI: http://nal-ir.nal.res.in/id/eprint/2870

    Actions (login required)

    View Item