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 localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities
TL;DR: In this article, the authors examined the large strain localization properties of hyperelasto-plastic materials which are based on the multiplicative decomposition of the deformation gradient and derived the localization condition with special emphasis on the loading conditions inside and outside an anticipated localization band.
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Computational modeling of dual-phase steels based on representative three-dimensional microstructures obtained from EBSD data
TL;DR: In this paper, a volumetric expansion is applied to the martensite phase, and the arising equivalent plastic strain distribution in the ferrite phase serves as basis for a locally graded modification of the ferritic yield curve.
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F. E. calculations of copper bicrystal specimens submitted to tension-compression tests
TL;DR: In this article, tension-compression tests are performed on copper bicrystalline specimens, with a grain boundary parallel to the tension axis, and the characterisation of the slip system is made from microscopical observations at the surface of the specimens.
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Virtual element formulation for phase-field modeling of ductile fracture
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Eulerian adaptive finite-difference method for high-velocity impact and penetration problems
TL;DR: A weighted essentially non-oscillatory (WENO) method within an adaptive mesh refinement (AMR) framework for the numerical solution of hyperbolic partial differential equations for high velocity impacts of steel projectiles on aluminium target plates in two and three dimensions.
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.