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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On the numerical modelling of ductile damage with an implicit gradient-enhanced formulation
TL;DR: In this article, a phenomenological framework is presented to incorporate ductile damage in an elasto-plastic model, based on a gradual reduction of the yield stress upon damage evolution, which is first presented in a small deformation context, after which a generalization to a geometrically nonlinear hyperelastoplastic formulation is made.
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Finite element implementation of nearly-incompressible rheological models based on multiplicative decompositions
TL;DR: In this article, a numerical integration scheme based on the definition of a flow direction and a flow amplitude as in elastoplasticity is proposed for finite viscoelastic or viscoplastic models.
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A re-formulation of the exponential algorithm for finite strain plasticity in terms of cauchy stresses
Günther Meschke,W.N. Liu +1 more
TL;DR: In this article, the role of the stress measure to be chosen as the argument in the definition of yield functions is discussed in the context of finite strain plasticity theory, and the exponential algorithm for multiplicative finite-strain plasticity is revisited such that Cauchy stresses are adopted as arguments in the yield function.
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Numerical and experimental investigations of the low velocity impact in GFRP plates
TL;DR: In this article, experimental and numerical investigations of the composite plate subjected to low velocity impact (LVI) were conducted with and without the implementation of the progressive failure algorithm and the application of the bilinear traction-separation law.
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A finite element formulation of thermomechanical rate‐dependent frictional sliding
V. G. Oancea,Tod A. Laursen +1 more
TL;DR: In this article, a combined theoretical and numerical approach is taken to consider the dynamic behaviour and the thermomechanical interactions of systems in which friction has an important role, and a proper numerical description of fully coupled thermodynamic response on frictional interfaces is provided.
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.