Journal ArticleDOI
A finite element formulation for finite strain elasto-plastic analysis based on mixed interpolation of tensorial components
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A quadrilateral finite element formulation for modeling finite strain elasto-plastic deformation processes is presented in this article, which is based on Lee's multiplicative decomposition of the deformation gradient and on the hyperelastic expression of the associated Von Mises flow rule.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1994-04-01. It has received 24 citations till now. The article focuses on the topics: Infinitesimal strain theory & Mixed finite element method.read more
Citations
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Journal ArticleDOI
The computation of the exponential and logarithmic mappings and their first and second linearizations
TL;DR: The first and second linearizations of the exponential and logarithmic mappings provided here are based directly on the exponential formula for the solutions of linear ODEs.
Journal ArticleDOI
A formulation of the MITC4 shell element for finite strain elasto-plastic analysis
TL;DR: In this paper, a finite strain elasto-plastic formulation for the MITC4 shell element is developed based on Lee's multiplicative decomposition of the deformation gradient and on the hyperelastic expression of Von Mises flow rule expressed in terms of Hencky's strain tensor.
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
The exponentiated Hencky-logarithmic strain energy. Part III: Coupling with idealized isotropic finite strain plasticity
TL;DR: In this paper, the authors investigate an immediate application in finite strain multiplicative plasticity of the family of isotropic volumetric-isochoric decoupled strain energies.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Book
Finite element procedures in engineering analysis
Klaus-Jürgen Bathe,H. Saunders +1 more
TL;DR: Elements finis Reference Record created on 2004-09-07, 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.
Book
Introduction to the mechanics of a continuous medium
TL;DR: In this article, the authors propose a linearized theory of elasticity for tensors, which they call Linearized Theory of Elasticity (LTHE), which is based on tensors and elasticity.
Journal ArticleDOI
Elastic-Plastic Deformation at Finite Strains
TL;DR: In this paper, the authors generalize a previous theory to permit arbitrary deformation histories by considering two coupled thermodynamic systems: one comprising thermo- elasticity at finite strain and the other the irreversible process of dissipation and absorption of plastic work.
Related Papers (5)
A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
Juan C. Simo,Michael Ortiz +1 more