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Evolution of elastic properties in finite poroplasticity and finite element analysis
Author(s) -
Bernaud D.,
Deudé V.,
Dormieux L.,
Maghous S.,
Schmitt D.P.
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.224
Subject(s) - plasticity , poromechanics , micromechanics , finite element method , discretization , elasticity (physics) , constitutive equation , consolidation (business) , mechanics , mathematical analysis , mathematics , materials science , physics , porous medium , thermodynamics , composite material , porosity , accounting , composite number , business
The formulation of the poroelastoplastic constitutive equations at large strains of a fully saturated material is performed focusing on the usually ignored influence of large strain plasticity on the poroelastic properties. A micromechanics approach allows to take into account the evolution of the microstructure geometry which in turn induces a coupling between elasticity and plasticity. Such a coupling results in an additional term in the macroscopic Cauchy stress rate equation derived from inclusion‐based estimates that leads to a modified Jaumann derivative. The pressure rate equation is also analysed. The finite element discretization of finite poroplasticity is then presented taking into account the elasticity–plasticity coupling. Application to the consolidation situation shows that the coupling may lead to non‐negligible effects. Copyright © 2002 John Wiley & Sons, Ltd.