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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An Eulerian thermomechanical elastic–viscoplastic model with isotropic and directional hardening applied to computational welding mechanics
TL;DR: In this paper, an Eulerian thermomechanical elastic-viscoplastic model with isotropic and directional hardening is used to analyse the residual mechanical state resulting from the arc welding of a multi-pass weld.
Journal ArticleDOI
Model-based control of dynamic frictional contact problems using the example of hot rolling
TL;DR: In this paper, the trajectories of the rolls are used as control functions to minimize cutting scrap and to ensure that this shape satisfies the required tolerances as precisely as possible, where an optimal control problem is formulated.
Dissertation
Numerical modelling of complex geomechanical problems
TL;DR: In this article, the authors focus on the treatment of large boundary displacements by means of Arbitrary Lagrangian-Eulerian (ALE) formulations, and the numerical solution of highly nonlinear systems of equations in solid mechanics.
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A New Updated Reference Lagrangian Smooth Particle Hydrodynamics algorithm for isothermal elasticity and elasto-plasticity
TL;DR: In this paper , an updated reference Lagrangian Smooth Particle Hydrodynamics (SPH) algorithm for the analysis of large deformation isothermal elasticity and elasto-plasticity is presented.
Journal ArticleDOI
Finite strain elasto-plastic formulations using the method of mixed interpolation of tensorial components
TL;DR: In this article, the authors review the latest developments in the field of finite strain elastoplastic analysis using the method of mixed interpolation of tensorial components (MITC).
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.