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

  • Jamila El Brahmi
  • Nouzha Lamdouar
  • Mimoun Zoukaghe
Technical Note
Part of the following topical collections:
  1. Topical Collection from GeoMEast 2017 – Sustainable Civil Infrastructures: Innovative Infrastructure Geotechnology


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.


Unsaturated expansive soil Boundary element method Displacement Suction 


  1. 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 1087–1146Google Scholar
  2. 2.
    Alonso EE, Gens A, Josa A (1990) A constitutive model for partially saturated soils. Géotechnique 40(3):405–430CrossRefGoogle Scholar
  3. 3.
    Alonso EE, Vaunat J, Gens A (1999) Modelling the mechanical behaviour of expansive clays. Eng Geol 54:173–183CrossRefGoogle Scholar
  4. 4.
    Banerjee PK, Butterfield R (1981) Boundary element methods in engineering science. McGraw Hill Book Company, New YorkGoogle Scholar
  5. 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 Google Scholar
  6. 6.
    Fredlund DG, Margenstern NR (1977) Stress state variables for unsaturated soils. J Geotech Eng 103:447–466Google Scholar
  7. 7.
    Gens A, Alonso EE (1992) A framework for the behaviour of unsaturated expansive clays. Can Geotech J 29:1013–1032CrossRefGoogle Scholar
  8. 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 NancyGoogle Scholar
  9. 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—RollaGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Mohammadia School of engineering, Mohammed V UniversityRabatMorocco

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