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Journal Articles Structural Engineering and Mechanics Year : 2005

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

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.
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Dates and versions

hal-01179170 , version 1 (21-07-2015)

Identifiers

  • HAL Id : hal-01179170 , version 1

Cite

François Peyraut, Zhi-Qiang Feng, Nadia Labed. A general convergence condition of the Newton-Raphson algorithm applied to compressible hyperelasticity. Structural Engineering and Mechanics, 2005, 21 (2), pp.121--136. ⟨hal-01179170⟩
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