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Innovative Infrastructure Solutions
Published in: Innovative Infrastructure Solutions 1/2018

01-12-2018 | Technical Note

Integral equation formulation of the displacement vector for unsaturated expansive soils by boundary element method

Authors: Jamila El Brahmi, Nouzha Lamdouar, Mimoun Zoukaghe

Published in: Innovative Infrastructure Solutions | Issue 1/2018

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Abstract

The main purpose of this paper is to determine the integral equation formulation of the displacement vector at any point within the problem domain of unsaturated expansive soils. The displacement values could be calculated if boundary conditions are prescribed as well as initial stresses and the suction distributions within the domain.
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Literature
1.
Alonso EE, Gens A and Hight DW (1987) General report—special problem soils. In: Proceedings of the 9th European Conference on soil mechanics and foundation engineering, Dublin, vol 3, pp 1087–1146
2.
Alonso EE, Gens A, Josa A (1990) A constitutive model for partially saturated soils. Géotechnique 40(3):405–430CrossRef
3.
Alonso EE, Vaunat J, Gens A (1999) Modelling the mechanical behaviour of expansive clays. Eng Geol 54:173–183CrossRef
4.
Banerjee PK, Butterfield R (1981) Boundary element methods in engineering science. McGraw Hill Book Company, New York
5.
El Brahmi J, Lamdouar N and Zoukaghe M (2017) Derivation of the incremental stress-strain relations for expansive soils and implementation into the boundary element method. Numerical analysis of nonlinear coupled problems. In: Proceedings of the 1st GeoMEast International Congress and Exhibition, Egypt 2017 on Sustainable Civil Infrastructures. doi: 10.​1007/​978-3-319-61905-7_​23
6.
Fredlund DG, Margenstern NR (1977) Stress state variables for unsaturated soils. J Geotech Eng 103:447–466
7.
Gens A, Alonso EE (1992) A framework for the behaviour of unsaturated expansive clays. Can Geotech J 29:1013–1032CrossRef
8.
Mrad M (2005) Modélisation du comportement hydromécanique des sols gonflants non saturés. Thèse de doctorat, Institut national polytechnique de Loraine, Ecole Nationale Supérieure de Géologie de Nancy
9.
Zoukaghe M (1985) Moisture diffusion and generated stresses in expansive soils by the boundary element method. Doctoral thesis, Faculty of the Graduate School of the University of Missouri01—Rolla
Metadata
Title
Integral equation formulation of the displacement vector for unsaturated expansive soils by boundary element method
Authors
Jamila El Brahmi
Nouzha Lamdouar
Mimoun Zoukaghe
Publication date
01-12-2018
Publisher
Springer International Publishing
Published in
Innovative Infrastructure Solutions / Issue 1/2018
Print ISSN: 2364-4176
Electronic ISSN: 2364-4184
DOI
https://doi.org/10.1007/s41062-017-0106-3

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