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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Vulnerable window of yield strength for swelling-driven fracture of phase-transforming battery materials
Ataollah Mesgarnejad,Alain Karma +1 more
TL;DR: In this paper, a multi-physics phase-field approach is used to model self-consistently anisotropic phase transformation, elasto-plastic deformation, and crack initiation and propagation during lithiation of Si nanopillars.
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Generalized radial‐return mapping algorithm for anisotropic von Mises plasticity framed in material eigenspace
Daniele Versino,Kane C. Bennett +1 more
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Staggering error control of a class of inelastic processes in random microheterogeneous solids
TL;DR: In this article, a staggering solution strategy for the simulation of the time-dependent inelastic mechanical deformation of a class of solids, possessing irregular heterogeneous microstructure, is developed.
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Modelling 3D metal cutting problems with the particle finite element method
TL;DR: This work presents an upgrade of the PFEM techniques in order to deal with the 3D machining problems, and presents recent improvements in the finite element formulation, the meshing re-connections and the contact detection.
Simulation of metal quenching processes for the minimization of distortion and stresses
TL;DR: In this paper, a complex thermo-mechanical model and its finite element implementation for simulating the transient fields of the temperature, micro structure, stress, strain, and displacement during a heat treatment process is introduced.
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.
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.