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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A multiplicative finite elasto-plastic formulation with anisotropic yield functions
TL;DR: In this paper, a finite elasto-plastic formulation with anisotropic yield functions is developed by applying a multiplicative decomposition of the deformation gradient, and a flow rule is derived via postulate of maximal dissipation.
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A new semi-implicit formulation for multiple-surface flow rules in multiplicative plasticity
TL;DR: In this article, the authors derive the equations of the multiplicative decomposition in the context of finite strain plasticity with elastic isotropy and arbitrary (isotropic and anisotropic) flow rules.
Journal ArticleDOI
Non-linear analysis of nearly saturated porous media: theoretical and numerical formulation
Jonas Larsson,Ragnar Larsson +1 more
TL;DR: In this article, a volumetric logarithmic strain is defined for a porous medium saturated with a compressible fluid undergoing large elastic and plastic deformations, and a consistent thermodynamic formulation is proposed for the two-phase mixture problem.
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Coupled thermomechanical response of gradient plasticity
Fadi Aldakheel,Christian Miehe +1 more
TL;DR: In this paper, a coupled thermo-mechanical strain gradient plasticity theory that accounts for micro-structure based size effects is outlined, and two classes of solution schemes for the coupled problem are considered: (i) Global product formula algorithm arising from operator split which leads to a two step solution procedure, and (ii) an implicit coupled algorithm which employs simultaneous solution of the coupled system of equations.
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On Anholonomic Deformation, Geometry, and Differentiation
TL;DR: In this paper, the authors analyzed aspects of tensor calculus associated with anholonomic deformation in general curvilinear coordinates and derived various linear connection coefficients for intermediate configurations.
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
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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.
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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.