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
Stress integration procedures for inelastic material models within the finite element method
Book ChapterDOI
Constitutive Modelling of Dissipative Solids for Localization and Fracture
TL;DR: In this paper, the authors survey some recent developments in the constitutive modelling of inelastic single and polycrystalline solids which can be used for the description of plastic deformation localization and fracture phenomena.
Journal ArticleDOI
Defects in Nonlinear Elastic Crystals:Differential Geometry, Finite Kinematics, and Second-Order Analytical Solutions
TL;DR: In this article, a differential geometric description of crystals with continuous distributions of lattice defects and undergoing potentially large deformations is presented, which is specialized to describe discrete defects, i.e., singular defect distributions.
Journal ArticleDOI
Stabilized finite element formulation for elastic–plastic finite deformations
TL;DR: In this article, an updated Lagrangian finite element formulation is developed where mesh dependent terms are added to enhance the stability of the mixed finite element (MFE) formulation, which circumvents the restriction on the displacement and pressure fields due to the Babuska-Brezzi condition and provides freedom in choosing interpolation functions in the incompressible or nearly-compressible limit.
Reference EntryDOI
Elastoplastic and Viscoplastic Deformations in Solids and Structures
TL;DR: In this article, the authors present a summary of some recent developments in the formulation and the numerical integration of elastoplastic and viscoplastic models of solids and structures, as well as different numerical algorithms associated with each of these formulations, referred generically as closest-point projection (CPPM) algorithms.
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.