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A FINITE ELEMENT FORMULATION FOR 3‐D CONTINUA USING THE CO‐ROTATIONAL TECHNIQUE
Author(s) -
MOITA G. F.,
CRISFIELD M. A.
Publication year - 1996
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/(sici)1097-0207(19961130)39:22<3775::aid-nme23>3.0.co;2-w
Subject(s) - finite element method , mathematics , mathematical analysis , geometry , materials science , structural engineering , engineering
The co‐rotational technique is described for the three‐dimensional analysis of continua. The technique exploits the proven technology of the best continua elements for linear analysis which are embedded into a formulation that applies an element‐attached local co‐ordinate frame that continuously moves and rotates with the element. The geometric non‐linearity is then incorporated via the rotation of this local system. The method uses similar procedures to those recently described for 2‐D continua elements but introduces concepts from a more conventional ‘continuum mechanics’ approach. The general framework for the co‐rotational procedure is kept. However, a much neater formulation is derived, which readily allows the extension from two to three dimensions.