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Implementation algorithm for a single hardening constitutive model for frictional materials
Author(s) -
Jakobsen K. P.,
Lade P. V.
Publication year - 2002
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.217
Subject(s) - constitutive equation , hardening (computing) , intersection (aeronautics) , euler's formula , algorithm , backward euler method , mathematics , computer science , structural engineering , engineering , materials science , euler equations , mathematical analysis , finite element method , composite material , layer (electronics) , aerospace engineering
An advanced elasto‐plastic constitutive model for frictional materials, whose incremental version is presented in a companion paper ( Int. J. Numer. Anal. Meth. Geomech. , 2002; 26 :647), is implemented in a user‐defined material module. The general calculation strategy inside this module is presented and discussed, including the initial intersection of the yield surface and the techniques for updating of stresses and hardening modulus. Several integration schemes are implemented in the module and their capabilities in relation to the advanced, three‐dimensional constitutive model are evaluated. The forward Euler, modified Euler, and Runge–Kutta–Dormand–Prince integration schemes are explained in detail, compared, and evaluated in view of error tolerances and computational efficiency. Copyright © 2002 John Wiley & Sons, Ltd.