Comptes Rendus
no. 9-10
Soils, granular media, civil engineering
Use of the Boussinesq solution in geotechnical and road engineering: influence of plasticity
[Utilisation de la solution de Boussinesq en géotechnique et dans le domaine des chaussées : influence de la plasticité]
Marwan Sadek1  ; Isam Shahrour1
1 Laboratoire de mécanique de Lille (UMR 8107), Université des sciences et technologies de Lille, 59655 Villeneuve d'Ascq cedex, France
Comptes Rendus. Mécanique, Volume 335 (2007) no. 9-10, pp. 516-520.

La solution de Boussinesq pour la distribution des contraintes dans un espace semi infini est utilisée en géotechnique et dans le domaine des chaussées. Cette solution est fondée sur l'hypothèse d'un milieu isotrope, homogène et linéaire–élastique. Puisque le sol a un comportement non-linéaire et irréversible, il est intéressant d'étudier la validité de cette solution pour les sols élastoplastiques. Cet article comporte une analyse de cette question en utilisant une modélisation par éléments finis. L'analyse est réalisée en comparant la solution élastique à celle obtenue par une modélisation élastoplastique par éléments finis. Les résultats montrent que la plasticité réduit l'atténuation des contraintes verticales dans le sol, ce qui signifie que la solution de Boussinesq sous-estime les contraintes dans un domaine qui contribue aux tassements.

The Boussinesq solution for the distribution of stresses in a half-space resulting from surface loads is largely used in geotechnical and road engineering. It is based on the assumption of a linear–elastic homogeneous isotropic half-space for the soil media. Since the soil exhibits nonlinear and irreversible behavior, it is of major interest to study the validity of this solution for elastoplastic soils. This paper includes an investigation of this issue using finite element modeling. The study is conducted by comparing the elastic stress distribution to that obtained using elastoplastic finite element analyses. Results show that the plasticity reduces the attenuation of the vertical stresses in the soil mass, which means that the Boussinesq solution underestimates the stresses in an area which contributes to the soil settlement.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2007.08.007
Keywords: Soils, Boussinesq, Plasticity, Finite element, Half-space, Settlement, Stress
Mot clés : Sols, Boussinesq, Plasticité, Éléments finis, Demi-espace, Élastique, Tassement, Contraintes
Marwan Sadek 1 ; Isam Shahrour 1

1 Laboratoire de mécanique de Lille (UMR 8107), Université des sciences et technologies de Lille, 59655 Villeneuve d'Ascq cedex, France 
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Marwan Sadek; Isam Shahrour. Use of the Boussinesq solution in geotechnical and road engineering: influence of plasticity. Comptes Rendus. Mécanique, Volume 335 (2007) no. 9-10, pp. 516-520. doi : 10.1016/j.crme.2007.08.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.08.007/

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