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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Extension of the enhanced assumed strain method based on the structure of polyconvex strain‐energy functions
Robin Pfefferkorn,Peter Betsch +1 more
Dissertation
Numerical modeling of metal cutting processes using the Particle Finite Element Method
Rodríguez Prieto,Juan Manuel +1 more
TL;DR: In this article, the Particle Finite Element Method (PFEM) is extended to the thermo-mechanical problems in solid mechanics which involve large strains and rotations, multiple contacts and generation of new surfaces.
Journal ArticleDOI
The variational formulation and solution of problems of finite‐strain elastoplasticity based on the use of a dissipation function
R. A. Eve,B. D. Reddy +1 more
TL;DR: In this article, the solution of initial-boundary value problems involving finite elastoplastic deformations is discussed, and a generalized midpoint rule is used to obtain an incremental problem, a variational form of which is derived.
Journal ArticleDOI
A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity
TL;DR: In this paper, a mixed variational formulation of the Prange-Hellinger-Reissner type for elasto-plasticity at small strains is proposed, where the displacements and the stresses are interpolated independently, which are balanced within the variational functional by the relation of the elastic strains and the partial derivative of the complementary stored energy with respect to the stresses.
Journal ArticleDOI
Dehydration of core/shell fruits
TL;DR: A unified physically-based approach to simulate the morphological transformation for the core/shell fruits in the dehydration process by adopting a finite element method based on the multiplicative decomposition of the deformation gradient into an elastic part and a dehydrated part.
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.
Journal ArticleDOI
Numerical Methods for Nonlinear Variational Problems
Roland Glowinski,J. T. Oden +1 more
Journal ArticleDOI
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.