Journal ArticleDOI
A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspects
Reads0
Chats0
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
More filters
Journal ArticleDOI
A cascade optimization methodology for automatic parameter identification and shape/process optimization in metal forming simulation
TL;DR: In this paper, the authors focus on two categories of inverse problems, parameter identification inverse problems and shape/process optimization inverse problems in metal forming process simulations, and compare their efficiency and robustness in numerical applications.
Journal ArticleDOI
An internal variable theory of elastoplasticity based on the maximum plastic work inequality
TL;DR: In this paper, convex analysis is used to explore in greater depth the nature of the evolution equation in internal variable formulations of elastoplasticity, where the thermodynamic force belongs to a set defined by a multi-valued map G.
Journal ArticleDOI
A robust and consistent remeshing-transfer operator for ductile fracture simulations
TL;DR: In this article, a crack direction criterion is proposed, which is validated for both failure cases and which is capable of capturing the experimentally observed abrupt tensile-shear transition, and a consistent transfer algorithm and a crack relaxation method are proposed and implemented for this purpose.
Journal ArticleDOI
On the coupled thermomechanical treatment of necking problems via finite element methods
TL;DR: In this paper, a finite element model and an associated algorithm are developed for the analysis of the thermomechanical coupling in the necking process of a bar in an uniaxial tension test.
Journal ArticleDOI
Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials
TL;DR: In this paper, the authors formulate two wellknown isotropic elastoplastic damage concepts for ductile materials in the framework of geometrically exact finite multiplicative elastasticity.
References
More filters
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.