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AN ALGORITHM FOR INTEGRATING THE SPIN ON CONVECTED BASES
Author(s) -
NEFUSSI G.,
DAHAN N.
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(19960915)39:17<2973::aid-nme985>3.0.co;2-x
Subject(s) - deformation (meteorology) , matrix (chemical analysis) , simple (philosophy) , rotation (mathematics) , algorithm , frame (networking) , mathematics , spin (aerodynamics) , decomposition , computer science , mathematical analysis , geometry , classical mechanics , physics , materials science , telecommunications , ecology , philosophy , epistemology , biology , meteorology , composite material , thermodynamics
A new algorithm is proposed for integrating the spin in the frame of large deformation analysis. The method is based on the integration of a matrix relation, obtained from an adapted decomposition of the deformation gradient, and directly written in convected co‐ordinates. The input of this algorithm is either the Gram matrix at any time (if a kinematical method is used, for instance) or more generally, the incremental deformation gradient, and the output is the required rotation matrix on convected bases. The result takes a very simple form in the important case of classical shells.