Journal ArticleDOI
A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspects
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TLDR
In this article, the authors proposed a hyperelastic J2-flow theory for elastoplastic tangent moduli, which reduces to a trivial modification of the classical radial return algorithm which is amenable to exact linearization.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1988-05-01. It has received 475 citations till now. The article focuses on the topics: Linearization & Hyperelastic material.read more
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Dissertation
Modélisation numérique du comportement irréversible des métaux ductiles soumis à grandes déformations avec endommagement
TL;DR: In this paper, a modelisation numerique de l'endommagement permet par exemple de mieux optimiser les procedes de mise en forme, par the prediction des defauts de fabrication ainsi que des proprietes finales des produits issus des operations de formage, constitue ce que l'on appelle l'approche locale de la rupture, par opposition a la mecanique de the rupture classique.
Journal ArticleDOI
Non-associative Drucker-Prager plasticity at finite strains
G. Hofstetter,R.L. Taylor +1 more
TL;DR: In this paper, a straightforward extension of the return mapping algorithm for J 2 -plasticity at finite strains to a non-associative Drucker-Prager yield criterion, assuming elastic volumetric response, is presented.
Journal ArticleDOI
On rotation deformation zones for finite-strain Cosserat plasticity
TL;DR: In this article, a numerical solution method for the finite-strain rate-independent Cosserat theory of crystal plasticity is developed based on a time-incremental minimization problem of the mechanical energy, a limited-memory Broyden-Fletcher-Goldfarb quasi-Newton method applied to a finite-difference discretization is proposed.
Journal ArticleDOI
Performance of a finite element procedure for hyperelastic-viscoplastic large deformation problems
TL;DR: In this paper, the authors have discussed the details of implementation of a formulation for hyperelastic-viscoplastic solids, which employs the constitutive equation based on multiplicative decomposition of deformation gradient and incrementally objective integration.
Dissertation
Problèmes industriels de grande dimension en mécanique numérique du contact : performance, fiabilité et robustesse.
TL;DR: The Code_Aster as mentioned in this paper is a code libre developpe par Electricite De France (EDF) for ses besoins en ingenierie.
References
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The finite element method
TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.
Journal ArticleDOI
Numerical Methods for Nonlinear Variational Problems
Roland Glowinski,J. T. Oden +1 more
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Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
Journal ArticleDOI
On numerically accurate finite element solutions in the fully plastic range
TL;DR: In this paper, a general criterion for testing a mesh with topologically similar repeat units is given, and it is shown that only a few conventional element types and arrangements are suitable for computations in the fully plastic range.