A FINITE-ELEMENT FORMULATION FOR FINITE STRAIN ELASTOPLASTIC ANALYSISBASED ON MIXED INTERPOLATION OF TENSORIAL COMPONENTS

Authors
DVORKIN EN PANTUSO D REPETTO EA
Citation
En. Dvorkin et al., A FINITE-ELEMENT FORMULATION FOR FINITE STRAIN ELASTOPLASTIC ANALYSISBASED ON MIXED INTERPOLATION OF TENSORIAL COMPONENTS, Computer methods in applied mechanics and engineering, 114(1-2), 1994, pp. 35-54
Citations number
53
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
114
Issue
1-2
Year of publication
1994
Pages
35 - 54
Database
ISI
SICI code
0045-7825(1994)114:1-2<35:AFFFFS>2.0.ZU;2-Y
Abstract
A quadrilateral finite element formulation for modelling finite strain elasto-plastic deformation processes is presented. The developed form ulation is based on Lee's multiplicative decomposition of the deformat ion gradient and on the hyperelastic expression of the associated Von Mises flow rule. The Hencky or logarithmic strain measure is used in t he strain energy function. The quadrilateral element is developed usin g displacements interpolation and interpolation of the Hencky strain t ensor covariant components. A consistent linearization is developed, o btaining a symmetric stiffness matrix.