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On the numerical integration of a class of pressure‐dependent plasticity models
Author(s) -
Aravas N.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240713
Subject(s) - constitutive equation , plasticity , tangent , linearization , plane stress , mathematics , numerical integration , necking , finite element method , mathematical analysis , nonlinear system , structural engineering , materials science , geometry , engineering , physics , composite material , quantum mechanics
An unconditionally stable algorithm for the numerical integration of elastoplastic pressure‐dependent constitutive relations is analysed in detail in this paper. The application of the method to plane stress problems, in which the out‐of‐plane strain component is not defined kinematically, is discussed. The tangent moduli resulting from this integration algorithm are obtained by consistent linearization of the elastoplastic constitutive equations. The algorithm is applied to Gurson's constitutive model, some one‐dimensional problems are solved, and comparisons with exact solutions are made. The paper closes with a numerical study of the necking of an axi‐symmetric specimen using Gurson's plasticity model to describe the constitutive behaviour of the material.