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Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants
Authors:E H Boutyour  H Zahrouni  M Potier‐Ferry  M Boudi
Abstract: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.
Keywords:asymptotic‐numerical method  Padé  approximants  bifurcation indicator  buckling  finite rotations  finite elements
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