Advertisement

Constitutive Equations for Heteroionic Clays

  • Alessandro Gajo
  • Benjamin Loret
Part of the International Centre for Mechanical Sciences book series (CISM, volume 462)

Abstract

Chemically active saturated clays containing several cations are considered in a two-phase framework. The solid phase contains the negatively charged clay particles, absorbed water and ions. The fluid phase contains free water and ions. Electroneutrality is ensured in both phases. Water and ions can transfer between the two phases. Emphasis is laid on the electro-chemo-mechanical constitutive equations in an elastic-plastic setting. Elastic chemo-mechanical coupling is introduced through a potential, in such a way that the tangent elastic stiffness is symmetric. The elastic-plastic behaviour aims at reproducing typical experimental phenomena observed on natural clays during chemical and mixed chemo-mechanical loadings, including chemical consolidation and swelling already described in the simpler context of Na-Montmorillonite clays. Ionic replacements, e.g. Na+ by K+, is accompanied with important, reversible volume changes, in agreement with experimental data.

Keywords

Porous Medium Pore Water Constitutive Equation Fluid Phase Expansive Clay 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Di Maio, C. (1996). Exposure of bentonite to salt solution: osmotic and mechanical effects. Géotechnique, 46 (4), 695–707.CrossRefGoogle Scholar
  2. Di Maio, C. (1998). Discussion on `Exposure of bentonite to salt solution: osmotic and mechanical effects’. Géotechnique, 48 (3), 433–436.MathSciNetCrossRefGoogle Scholar
  3. Di Maio, C. and G. Fenelli (1997). Influenza delle interazioni chimico-fisiche sulla de- formabilità di alcuni terreni argillosi. Rivista Italiana di Geotecnica, 1, 695–707.Google Scholar
  4. Di Maio, C. and R. Onorati (1999). Prove di laboratorio: influenza di composizione del liquido di cella. Rendiconti del XX Convegno Nazionale di Geotecnica, Parma, 87–94.Google Scholar
  5. Gajo, A., Loret, B. and T. Hueckel (2002). Electro-chemo-mechanical couplings in saturated porous media: elastic-plastic behaviour of heteroionic expansive clays. Int. J. Solids and Structures, 39, 4327–4362.CrossRefMATHGoogle Scholar
  6. Gajo, A. and B. Loret (2003)a. Finite element simulations of chemo-mechanical coupling in elastic-plastic homoionic expansive clays. Computer Methods in Applied Mechanics and Engineering,192(31–32), 3489–3530.Google Scholar
  7. Gajo, A. and B. Loret (2003)b. Transient analysis of ionic replacements in elastic-plastic expansive clays. submitted for publication.Google Scholar
  8. Haase, R. (1990). Thermodynamics of Irreversible Processes. Dover Publications, New York.Google Scholar
  9. Loret, B., Hueckel, T. and A. Gajo (2002). Chemo-mechanical coupling in saturated porous media: elastic-plastic behaviour of homoionic expansive clays. Int. J. Solids and Structures, 39, 2773–2806.CrossRefMATHGoogle Scholar
  10. Tardy, Y. and J. Duplay (1992). A method of estimating the Gibbs free energies of formation of hydrated and dehydrated clay minerals. Geochimica and Cosmochimica Acta, 56, 3007–3029.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 2004

Authors and Affiliations

  • Alessandro Gajo
    • 1
  • Benjamin Loret
    • 2
  1. 1.Dipartimento di Ingegneria Meccanica e StrutturaleUniversità di TrentoTrentoItalia
  2. 2.Laboratoire Sols, Solides, StructuresInstitut National Polytechnique de GrenobleFrance

Personalised recommendations