Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants

The aim of this work is to develop a reliable and fast algorithm to compute bifurcation points and bifurcated branches. It is based upon the asymptotic numerical method (ANM) and Padé approximants. The bifurcation point is detected by analysing the poles of Padé approximants or by evaluating, along...

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Bibliographic Details
Published inInternational journal for numerical methods in engineering Vol. 60; no. 12; pp. 1987 - 2012
Main Authors Boutyour, E. H., Zahrouni, H., Potier-Ferry, M., Boudi, M.
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 28.07.2004
Subjects
asymptotic-numerical method
bifurcation indicator
buckling
finite elements
finite rotations
Padé approximants
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Summary:The aim of this work is to develop a reliable and fast algorithm to compute bifurcation points and bifurcated branches. It is based upon the asymptotic numerical method (ANM) and Padé approximants. The bifurcation point is detected by analysing the poles of Padé approximants or by evaluating, along the computed solution branch, a bifurcation indicator well adapted to ANM. Several examples are presented to assess the effectiveness of the proposed method, that emanate from buckling problems of thin elastic shells. Especially problems involving large rotations are discussed. Copyright © 2004 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-THKDTN83-T
Publishing Arts Research Council - No. 98-1846389
istex:F82A1E3E314F421A2421AB6D52C6FC7D4E17604A
ArticleID:NME1033
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1033