A three-phase model for unsaturated soils

• Published in: International journal for numerical and analytical methods in geomechanics Vol. 24; no. 11; pp. 893 - 927
• Main Authors: Loret, Benjamin, Khalili, Nasser
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.09.2000; Wiley
• Subjects: Applied sciences; Buildings. Public works; elasto-plasticity; Exact sciences and technology; Geotechnics; porous media; Soil mechanics. Rocks mechanics; theory of mixtures; unsaturated soils; Water effect, drainage, ground water lowering, filtration; Collapse; Constitutive equation; Normally consolidated soil; Stress strain relation; Porous medium; Elasticity; Theoretical study; Mixture theory; Soil mechanics; Soil water properties; Elastoplasticity; Models; Unsaturated soil
• ISSN: 0363-9061; 1096-9853
• DOI: 10.1002/1096-9853(200009)24:11<893::AID-NAG105>3.0.CO;2-V

A comprehensive framework to define the constitutive behaviour of unsaturated soils is developed within the theory of mixtures applied to three‐phase porous media. Each of the three phases is endowed with its own strain and stress. Elastic and elastic–plastic constitutive equations are developed. Particular emphasis is laid on the interactions between the phases both in the elastic and plastic regimes. Nevertheless, the clear structure of the constitutive equations requires a minimal number of material parameters. Their identification is provided: in particular, it incorporates directly the soil–water characteristic curve. Crucial to the formulation is an appropriate definition of the effective stress. The coupled influence of this effective stress and of suction makes it possible to describe qualitatively many of the characteristic features observed in experiments, e.g. for normally consolidated soils, a plastic behaviour up to air entry followed by an elastic behaviour at increasing suctions, and, on the way back, an elastic behaviour, unless compression is applied in which case plastic collapse occurs. Copyright © 2000 John Wiley & Sons, Ltd.