Premium
An asymptotic‐numerical method to compute bifurcating branches
Author(s) -
Vannucci P.,
Cochelin B.,
Damil N.,
PotierFerry M.
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(19980430)41:8<1365::aid-nme332>3.0.co;2-y
Subject(s) - mathematics , computer science , calculus (dental) , mathematical optimization , mathematical analysis , medicine , dentistry
In this paper a new method to compute the bifurcating branches for an elastic structure is presented. The method is based on the asymptotic‐numerical method (ANM), that is a perturbation technique to solve problems in non‐linear mechanics. Herein, we present a computing strategy to find the bifurcation points and the post‐buckling branches in the framework of the ANM. Some examples are also given, which prove the effectiveness of the proposed method. A discussion of the results and of the open problems ends the paper. © 1998 John Wiley & Sons, Ltd.