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Implicit integration of a chemo‐plastic constitutive model for partially saturated soils
Author(s) -
Zhang H. W.,
Zhou L.
Publication year - 2008
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.690
Subject(s) - softening , constitutive equation , saturation (graph theory) , plasticity , boundary value problem , convergence (economics) , backward euler method , finite element method , soil water , geotechnical engineering , mathematics , geology , materials science , structural engineering , engineering , mathematical analysis , euler equations , composite material , soil science , combinatorics , economics , economic growth
Abstract A chemo‐plastic constitutive model for partially saturated soils is proposed in this paper based on the existing models developed in Hueckel ( Int. J. Numer. Anal. Meth. Geomech. 1997; 21 :43–72) and Gallipoli et al . ( Geotechnique 2003; 53 :123–135). The chemical softening effects due to the increase in contaminant mass concentration are considered based on Hueckel's chemo‐plastic model. Gallipoli's model is used to simulate the effects of suction and degree of saturation on mechanical behavior of partially saturated porous materials. In order to implement the proposed model in a finite element code, a fully implicit backward‐Euler integration algorithm is put forward. Numerical solutions for the tests at local level and the application of the algorithm to the real boundary value problem demonstrate the accuracy and convergence properties of the proposed integration scheme. Copyright © 2008 John Wiley & Sons, Ltd.