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Post‐buckling behaviour of structures using a finite element–nonlinear eigenvalue technique
Author(s) -
Wellford L. Carter,
Dib Ghassan M.
Publication year - 1980
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.1620150702
Subject(s) - buckling , eigenvalues and eigenvectors , finite element method , nonlinear system , mathematics , structural engineering , element (criminal law) , mathematical analysis , engineering , physics , quantum mechanics , political science , law
A series of finite element algorithms for the calculation of the post‐buckling behaviour of structures are proposed. The algorithms represent a finite element implementation of a variational principle for nonlinear eigenvalue problems. Incremental amplitude solution schemes are defined. Numerical results are presented for the post‐buckling behaviour of specific structures with linear and nonlinear pre‐buckling states.