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Redundant structure concepts in finite element analyses
Author(s) -
Meek J. L.
Publication year - 1975
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620090403
Subject(s) - lagrange multiplier , finite element method , compatibility (geochemistry) , gauss , mathematics , mixed finite element method , extended finite element method , minification , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , quantum mechanics , chemical engineering
The paper examines two triangular finite elements used in plate bending analyses for which Lagrange multiplier techniques have been used to set up the necessary equations for the solution. These equations involve either equilibrium of the system or the inter‐element compatibility. Starting from only the notions of equilibrium and continuity as used in the analyses of redundant structures, the paper proceeds to solutions of the same problems. It is found that end results are the same when the equations obtained from the minimization techniques are reduced by Gauss‐elimination in partitioned from.