Journal ArticleDOI
A finite element formulation for problems of large strain and large displacement
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TLDR
In this article, an incremental and piecewise linear finite element theory is developed for the large displacement, large strain regime with particular reference to elastic-plastic behavior in metals, and the resulting equations, though more complex, are in a similar form to those previously developed for large displacement small strain problems, the only additional term being an initial load stiffness matrix which is dependent on current loads.About:
This article is published in International Journal of Solids and Structures.The article was published on 1970-08-01. It has received 312 citations till now. The article focuses on the topics: Stiffness matrix & Finite strain theory.read more
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Journal ArticleDOI
Crystallographic texture evolution in bulk deformation processing of FCC metals
TL;DR: A Taylor-type polycrystalline model, together with a new fully-implicit timeintegration scheme has been developed and implemented in a finite element program to simulate the evolution of crystallographic texture during bulk deformation processing of face centered cubic metals deforming by crystallographic slip as mentioned in this paper.
Journal ArticleDOI
Finite element formulations for large deformation dynamic analysis
TL;DR: In this paper, finite element incremental formulations for non-linear static and dynamic analysis are reviewed and derived starting from continuum mechanics principles, and a consistent summary, comparison, and evaluation of the formulations which have been implemented in the search for the most effective procedure.
Journal ArticleDOI
Finite element formulations for problems of large elastic-plastic deformation
TL;DR: In this article, an Eulerian finite element formulation for large elastic-plastic flow is presented, based on Hill's variational principle for incremental deformations, and is suited to isotropically hardening Prandtl-Reuss materials.
Book ChapterDOI
Aspects of Invariance in Solid Mechanics
TL;DR: The Lagrangian viewpoint is also well suited to handling pure mechanics, as it is advocated in relation to incremental boundary-value problems as discussed by the authors, and the failure of incremental uniqueness, or bifurcation, is arguably the phenomenon that is most typical of continuum response at unrestricted levels of deformation.
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.
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.
Journal ArticleDOI
A general theory of an elastic-plastic continuum
A. E. Green,P. M. Naghdi +1 more
TL;DR: In this article, an isotropic elastic-plastic continuum theory was proposed for large deformation elasticity, which is a special case of the theory of elastic-perfectly plastic continuum.
The Finite Element Method in Structural and Continuum Mechanics
O. C. Zienkiewicz,Y.K. Cheung +1 more
TL;DR: In this paper, a mathematical reference record was created on 2004-09-07, modified on 2016-08-08, and used for modelisation of mathematical reference records for the Mathematique Reference Record.