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http://dx.doi.org/10.12989/sem.2005.21.2.121

A general convergence condition of the Newton-Raphson algorithm applied to compressible hyperelasticity  

Peyraut, Francois (Laboratoire Mecatronique3M, Universite de Technologie de Belfort-Montbeliard)
Feng, Zhi-Qiang (Laboratoire de Mecanique d'Evry, Universite d'Evry-Val d'Essonne)
Labed, Nadia (Laboratoire Mecatronique3M, Universite de Technologie de Belfort-Montbeliard)
Publication Information
Structural Engineering and Mechanics / v.21, no.2, 2005 , pp. 121-136 More about this Journal
Abstract
This paper presents the implementation of the Blatz-Ko hyperelastic compressible model in a finite element program to deal with large deformation problems. We show analytically and numerically that the minimum number of increment steps in the Newton-Raphson algorithm depends on material properties and applied loads. We also show that this dependence is related to the orientation preservation principle. So we propose a convergence criteria based on the sign of eigenvalues of the deformation gradient matrix.
Keywords
Blatz-Ko model; hyperelasticity; finite element; large deformation; Newton-Raphson;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
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