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
Citations
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An assumed enhanced displacement gradient ring-element for finite deformation axisymmetric and torsional problems
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A 3-D Model of Cold Drawing in Engineering Thermoplastics
TL;DR: In this paper, a 3D multiplicative finite strain model for cold drawing (necking) in engineering thermoplastics is presented, where both amorphous and semi-crystalline polymers are considered.
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Solution of the slump test using a finite deformation elasto‐plastic Drucker‐Prager model
TL;DR: In this article, a finite deformation elasto-plastic model based on the multiplicative decomposition of the deformation gradient is presented and discussed in detail, including the derivation of the full set of equations for the Drucker-Prager yield criterion.
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Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition F=FeFi
Celia Reina,Sergio Conti +1 more
TL;DR: In this article, the authors show that det F i = 1 and Curl F i bounded are necessary and sufficient conditions for the validity of F = F e F i for a wide range of inelastic processes.
References
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Book
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.
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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.
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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.