Field-consistency and violent stress oscillations in finite element method

Prathap, Gangan and Rameshbabu, C (1985) Field-consistency and violent stress oscillations in finite element method. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    The fact that finite element models can give rise to13; violent stress oscillations has been known for some time. It is also well known that in many problems, there are optimal locations where stresses can be correctly sampled, in spite of the presence of these violent stress fluctuations However, it is less well known that these oscillations arise in a specific class of problems - where there are multiple strain-fields arising from one or more field-variables and where one or more of these strain-fields must be constrained in particular physical13; limits. In this paper, we show that unless the interpolations for these constrained strain-fields are x2018;field-consistentx2019;violent oscillations would set in. These oscillations represent spurious self-equilibrating stress-fields generating spurious energy terms that lead to x2018;lockingx2019;.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Finite element;Field consistency;Shear flexible;Beam;Stress oscillations;Curved beam
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: 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/2852

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