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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Book ChapterDOI
Modeling the effects of welding
TL;DR: An overview of the solid mechanics issues for modeling welding processes can be found in this paper, where the authors provide a review of continuum mechanics formulations, followed by a discussion of numerical formulations, and discuss the material properties.
Solution Of 2D, 3D And Axisymmetric FiniteDeformation Problems By The Boundary-domainIntegral Method
TL;DR: In this paper, a boundary-domain integral method for 2D, 3D and axisymmetric problems at finite strains is presented, which is applicable to arbitrary hyperelastic constitutive laws.
Journal ArticleDOI
A large time incremental finite element method for finite deformation problem
TL;DR: Based on the process optimal control variational principle, some new ideas for finite deformation analysis using large increment are proposed in this paper, combined with hyperelastic-plastic constitutive equation, the governing equations and the corresponding numerical algorithm are formulated.
Journal ArticleDOI
An Eulerian constitutive model for the inelastic finite strain behaviour of isotropic semi-crystalline polymers
Martin Kroon,M.B. Rubin +1 more
TL;DR: In this paper , a constitutive model for isotropic, semi-crystalline polymers is proposed, which is able to account for such essential phenomena as strain-rate dependence, work hardening, stress relaxation, volumetric inelastic deformations, and damage.
Journal ArticleDOI
Two novel alternative integration schemes for multi-invariants dependent isotropic finite deformation plasticity
Sumit Kumar,B.P. Patel +1 more
TL;DR: In this article , two integration schemes (IS-1 and IS-2) are formulated and their computational costs are compared for the first time in the context of multi-invariants dependent multiplicative hyperelasto-plasticity.
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.