Field consistency and the finite element analysis of multi-field structural problems

Prathap, Gangan (1984) Field consistency and the finite element analysis of multi-field structural problems. In: Analysis of Structures - A Commemorative volume published on the occasion of the 60th Anniversary of Dr. S.R. Valluri, Dec 1984, NAL, Bangalore, India.

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    Abstract

    We introduce the concept of field consistent representation of continuum problems in structural mechanics which require definition by more than one field variable. In some practical situations, the engineering dimensions of the problem require that the many field variables needed to model the deformation of the continuum may have to be constrained among themselves in a suitable way, If this is not properly accommodated in the finite element model, severe errors can result. Here, we consider a new terminology for such errors and examine a simple case in which such errors can lead to the locking phenomenon, Techniques, most of which originated on an ad-hoc basis even before the mechanics of field-consistency was established, can now be re-interpreted to show how they successfully introduce a consistent representation of the constrained strain-fields and thus remove the 'spurious constraints' that lead to 'errors of the second kind'.

    Item Type: Conference or Workshop Item (Paper)
    Uncontrolled Keywords: Structural mechanics;Finite element method
    Subjects: ENGINEERING > Structural Mechanics
    Division/Department: Structures Division
    Depositing User: Ms. Alphones Mary
    Date Deposited: 18 Nov 2010 09:24
    Last Modified: 18 Nov 2010 09:24
    URI: http://nal-ir.nal.res.in/id/eprint/9091

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