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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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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Affine Tensors in Shell Theory
Géry de Saxcé,Claude Vallée +1 more
TL;DR: In this paper, the affine covariant divergence is defined for affine tensors and affine vector-valued functions, and it is shown that the torsor field characterizing the behavior of a continuous medium is affine covariances free.
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A three-dimensional cell-based smoothed finite element method for elasto-plasticity
TL;DR: In this paper, a three-dimensional cell-based smoothed finite element method for elastic-plastic analysis has been proposed, which has been extended to cover elasticplastic deformations beyond the classical linear theory of elasticity and treated with the aid of the formulation based on the hyperelastic constitutive equation.
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Modified mixed least‐squares finite element formulations for small and finite strain plasticity
Bounding volume hierarchy and non-uniform rational B-splines for contact enforcement in large deformation finite element analysis of sheet metal forming
TL;DR: In this paper, a robust and efficient algorithm to enforce the unilateral contact condition, with friction, between a deformable body, modeled with a finite element mesh, and rigid surfaces modeled with independent Non-Uniform Rational B-Splines (NURBS) patches is presented.
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A Lagrangian model for hardening behaviour of materials at finite deformation based on the right plastic stretch tensor
TL;DR: In this article, the authors proposed a CC-BY-NC-ND 4.0 license for the use of the authors' work in the context of biomedical data visualization and analysis.
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.