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A Koiter‐Newton approach for nonlinear structural analysis
Author(s) -
Liang Ke,
Abdalla Mostafa,
Gürdal Zafer
Publication year - 2013
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.4581
Subject(s) - finite element method , buckling , nonlinear system , newton's method , path (computing) , reduction (mathematics) , mathematics , arc length , computer science , mathematical optimization , structural engineering , geometry , engineering , arc (geometry) , physics , quantum mechanics , programming language
SUMMARY A new approach termed the Koiter‐Newton is presented for the numerical solution of a class of elastic nonlinear structural response problems. It is a combination of a reduction method inspired by Koiter's post‐buckling analysis and Newton arc‐length method so that it is accurate over the entire equilibrium path and also computationally efficient in the presence of buckling. Finite element implementation based on element independent co‐rotational formulation is used. Various numerical examples of buckling sensitive structures are presented to evaluate the performance of the method. The examples demonstrate that the method is robust and completely automatic and that it outperforms traditional path‐following techniques. This improved efficiency will open the door for the direct use of detailed nonlinear finite element models in the design optimization of next generation flight and launch vehicles. Copyright © 2013 John Wiley & Sons, Ltd.