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
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Book ChapterDOI
Models of Microstructure Evolution in Shape Memory Alloys
TL;DR: In this paper, a survey of models for twinning-like microstructure and its evolution in crystallic alloys exhibiting shape-memory effects is presented, as well as various evolutionar mechanisms (iso-or aniso-thermal, viscous or/and plastic).
Book ChapterDOI
Dynamic Finite Element Analysis of Structures
TL;DR: The purpose of this chapter is to give credit to the power of finite element in the use of earthquake-resistant structures because of the large number of computer runs required for dynamic analysis.
Journal ArticleDOI
Some computational issues in large strain elasto-plastic analysis
G. Gabriel,Klaus-Jürgen Bathe +1 more
TL;DR: In this article, the Eterovic and Bathe elasto-plasticity formulation based on the use of the total logarithmic strains and Cauchy stresses, and the Euler backward method of time integration is studied in detail.
Journal ArticleDOI
On modelling thermal oxidation of Silicon I: Theory
Vinay S. Rao,Thomas J. R. Hughes +1 more
TL;DR: In this paper, a new mathematical framework is proposed to model the process of thermal oxidation in silicon, derived from the fundamental conservation equations of mechanics, and a thermodynamically consistent constitutive equation for silicon dioxide is suggested to represent recent experimental data.
Journal ArticleDOI
Continuous chip formation in metal cutting processes using the Particle Finite Element Method (PFEM)
TL;DR: In this paper, the Particle Finite Element Method (PFEM) was used to simulate the formation of continuous chip in orthogonal machining, and the results have been compared with experimental tests showing a good competitiveness of PFEM in comparison with other available simulation tools.
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.
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.