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
Citations
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Journal ArticleDOI
Variational Formulation of the Crack Problem for an Elastoplastic Body at Finite Strain
H. Stumpf,K. C. Le +1 more
TL;DR: In this paper, a new formulation of the boundary value problem for an elastoplastic cracked body by a variational inequality is proposed, which enables us to determine the location as well as the preferred direction of propagation of the crack.
Journal ArticleDOI
Geometric constitutive theory and frame invariance
TL;DR: In this paper, the notion of constitutive frame invariance (CFI) is introduced as geometric correction to the formulation of material frame indifference (MFI), and the outcome is a physically testable theory which eventually results in new effective computation tools for structural engineers.
Book ChapterDOI
Continuum Mechanics, Nonlinear Finite Element Techniques and Computational Stability
TL;DR: In this paper, the concept of finite element analysis in nonlinear solid mechanics using material (Lagrangian) and spatial (Eulerian) coordinates has been discussed and a brief introduction in stability analysis and the associated numerical algorithms are given.
Journal ArticleDOI
On a finite strain viscoplastic theory based on a new internal dissipation inequality
R.C. Lin,Wolfgang Brocks +1 more
TL;DR: In this paper, a finite strain viscoplastic model described also in the rotated material coordinate system is formulated and the evolution equations are expressed in terms of the material time derivatives of the rotated elastic logarithmic strain, the accumulated plastic strain and the strain-like tensor conjugate to the rotated back stress.
Journal ArticleDOI
A general theory for nonlocal softening plasticity of integral-type
TL;DR: In this article, a comparison of several models, proposed in the literature, of softening plasticity with internal variables regularized by nonlocal averaging of integral type is presented. And the maximum dissipation principle is provided for each analyzed model.
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.