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Modélisation micromécanique du comportement de milieux poreux non linéaires : Applications aux argiles compactées

Abstract : This work is devoted to the modelling of the hydro-mechanical behaviour of linear and nonlinear porous media by micromechanical approach. The developed models are illustrated by an application in geomechanics with the simulation of compacted clay be- haviours. The proposed modelling is based on an iterative approach of homogenization coupled with linear predictive schemes of the effective moduli. The linear behaviour of the medium is obtained firstly by successive homogenizations of intermediate porous media formed by progressive additions of low porosities. At convergence, the iterative process leads to the same equivalent behaviour of the porous media for any homo- genization method used at each step and for any porosity too. This result allows to unify the predictions of the explicit linear schemes which coincide usually only for low porosities. This iterative approach of homogenization is then extended to predict the nonlinear behaviour of porous media by a secant linearization of the skeleton's behaviour. The predictive linear methods are used to homogenize the linearized porous media by suc- cessive iterations. The coupling of the iterative process leads, as in the linear, to the same homogenized nonlinear response for any porosities and linear schemes used. The performances of the iterative process of homogenization are illustrated through various tests in linear, nonlinear elasticity and elastoplasticity. The iterative micromechanical approach is also used to estimate the e®ective yield surface of porous media. Finally, this micromechanical model is applied for simulating the behaviour of experimentally compacted argillaceous porous media. Observations on this study were performed on two scales. Under oedometric compaction, clays present an elastoplastic behaviour during the loading and the behaviour observed is elastic during unloading. The elastic and elastoplastic identifications of skeleton's properties are carried out by inverse homogenization. Then, the macroscopic behaviour of clays is simulated by the iterative approaches of homogenization. An improvement of the models by porosity's actualization in loading leads to good agreements with the experimental behaviour.
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Contributor : Salma Barboura <>
Submitted on : Wednesday, December 5, 2007 - 12:38:52 PM
Last modification on : Thursday, December 10, 2020 - 10:51:54 AM
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  • HAL Id : tel-00193994, version 1

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Salma Barboura. Modélisation micromécanique du comportement de milieux poreux non linéaires : Applications aux argiles compactées. Mécanique [physics.med-ph]. Université Pierre et Marie Curie - Paris VI, 2007. Français. ⟨tel-00193994⟩

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