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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Implicit or explicit time integration schemes in the PFEM modeling of metal cutting processes
TL;DR: This work presents the development of an explicit/implicit particle finite element method (PFEM) for the 2D modeling of metal cutting processes to study the efficiency of implicit and explicit time integration schemes in terms of precision, accuracy and computing time.
Journal ArticleDOI
A hypoelasto-viscoplastic endochronic model for numerical simulation of shear band localization
Amir R. Khoei,A. Bakhshiani +1 more
TL;DR: In this paper, a hypoelasto-viscoplastic endochronic model is developed to capture the strain localization phenomena and the elastic response is stated in terms of hypo-elastic model and end-ochronic constitutive equations are stated in unrotated frame of reference.
Dissertation
Scale-Bridging of Elasto-Plastic Microstructures using Statistically Similar Representative Volume Elements
TL;DR: In this article, the simulation of macroscopic properties based on polycrystalline RVEs is presented for the dual-phase steel microstructure with respect to a direct micro-macro homogenization scheme.
Journal ArticleDOI
Design sensitivity analysis in large deformation elasto‐plastic and elasto‐viscoplastic problems
TL;DR: In this paper, the implicit time integration algorithm derived by Simo for his large deformation elasto-plastic constitutive model is generalized, for the case of isotropy and associative flow rule, towards viscoplastic material behaviour and consistently differentiated with respect to its input parameters.
Journal ArticleDOI
Eulerian Framework for Inelasticity Based on the Jaumann Rate and a Hyperelastic Constitutive Relation—Part II: Finite Strain Elastoplasticity
TL;DR: In this paper, a flow rule is proposed in the Eulerian framework, based on the principle of maximum plastic dissipation in six-dimensional stress space for the case of J2 isotropic 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.