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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The convected description in large deformation frictional contact problems
TL;DR: In this article, a converted description for finite deformation frictional contact problems is introduced, such that both Coulomb and more general friction criteria can be conveniently and reliably numerically implemented in Lagrangian finite element calculations.
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The combined plastic and discrete fracture deformation framework for finite‐discrete element methods
Esteban Rougier,Antonio Munjiza,Zhou Lei,Viet T. Chau,Earl E. Knight,Abigail Hunter,Gowri Srinivasan +6 more
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Frame indifferent elastoplasticity of frictional materials at finite strain
TL;DR: In this paper, a finite strain formulation based on thermodynamics of non-associated materials, logarithmic strain measures and corotational rates, and numerical procedures of gradient split and return mapping is proposed.
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Mixing sauces: a viscosity blending model for shear thinning fluids
TL;DR: This paper used a laboratory device, rheometer, to measure the flowing properties of various fluid-like foods, and found that an elastic Herschel-Bulkley model has nice agreements with the measured data even for the mixtures of these foods.
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Finite strain generalization of smallstrain constitutive relations for any finite strain tensor and additive volumetric-deviatoric split
TL;DR: In this paper, a generalization of small-strain constitutive equations for isotropic materials for which the strain is split into a volumetric part and a deviatoric part (the latter characterizing the isochoric strain) is presented.
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.
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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.