Unsymmetric finite element formulation and variational incorrectness

Prathap, Gangan and Manju, S and Senthilkumar, V (2007) Unsymmetric finite element formulation and variational incorrectness. Structural Engineering Mechanics, 26 (1). pp. 31-42.

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Abstract

The unsymmetric finite element formulation has been proposed recently to improve predictions from distorted finite elements. Studies have also shown that this special formulation using parametric functions for the test functions and metric functions for the trial functions works surprisingly well because the former satisfy the continuity conditions while the latter ensure that the stress representation during finite element computation can retrieve in a best-fit manner, the actual variation of13; stress in the metric space. However, a question that remained was whether the unsymmetric formulation13; was variationally correct. Here we determine that it is not, using the simplest possible element to amplify13; the principles.

Item Type: Journal Article
Uncontrolled Keywords: Mesh distortion;Unsymmetric formulation;Best-fit paradigm; Parametric-metric element;Projection theorem;Three-node bar element
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Other, Structures Division, CSIR Centre for Mathematical Modelling and Computer Simulation
Depositing User: Mrs. S Manju
Date Deposited: 05 Jan 2010
Last Modified: 24 May 2010 09:57
URI: http://nal-ir.nal.res.in/id/eprint/5238

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