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This paper describes a finite element numerical model derived from the basic equations of elastoplasticity and consolidation of unsaturated soils. The model was implemented in the finite element program CESAR-LCPC. The equations of the model account for the interaction of the deformation of the soil skeleton, of the flow of water and air and of the movement of the air dissolved in the pore water. The numerical solution of these equations is based on the finite element method for space discretisation and on an implicit method for time discretisation. The deformations of the soil skeleton are described within the framework of the independent variable approach. Two applications of this model to an axisymmetric problem (thick tube) and to a plane strain problem (2-D consolidation of a soil mass) are presented.

Calcul en éléments finis des déformations des sols non saturés : équations et exemples