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Direct determination of asymptotic structural postbuckling behaviour by the finite element method
Author(s) -
Poulsen Peter Noe,
Damkilde Lars
Publication year - 1998
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(19980630)42:4<685::aid-nme381>3.0.co;2-9
Subject(s) - finite element method , convergence (economics) , mixed finite element method , mathematics , stress (linguistics) , numerical analysis , structural engineering , element (criminal law) , extended finite element method , mathematical analysis , engineering , economic growth , political science , law , linguistics , philosophy , economics
Application of the finite element method to Koiter's asymptotic postbuckling theory often leads to numerical problems. Generally it is believed that these problems are due to locking of non‐linear terms of different orders. A general method is given here that explains the reason for the numerical problems and eliminates these problems. The reason for the numerical problems is that the postbuckling stresses are inaccurately determined. By including a local stress contribution, the postbuckling stresses are calculated correctly. The present method gives smooth postbuckling stresses and shows a quick convergence of the postbuckling coefficients. © 1998 John Wiley & Sons, Ltd.