Local Second Gradient Models for Thermo-Hydro-Mechanical Coupling in Rock Like Materials

  • Y. SieffertEmail author
  • F. Marinelli
  • R. Chambon
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG, volume 11)


In the design of nuclear waste disposals, an important topic concerns the evolution of an Excavated Damage Zone (EDZ) with a thermal exchanges. In this paper, a new model of local second gradient coupling with a thermo-hydro-mechanical is presented. As for monophasic case, the use of enhanced media induce the objective of the computation but not the uniqueness of the solution. Some classical engineering problems are presented which exhibit several solutions.


Thermo-hydro-mechanics Localization Second gradient model Non uniqueness Geomaterials 



The authors would like to thank the Timodaz EC project for their financial support.


  1. P. Bésuelle, R. Chambon, F. Collin, Switching deformation modes in post-localization solutions with a quasibrittle material. J. Mech. Mater Struct. 1, 1115–1134 (2006)CrossRefGoogle Scholar
  2. R. Chambon, D. Caillerie, N. El Hassan, One-dimensional localisation studied with a second grade model. Eur. J. Mech. A/Solids. 17, 637–656 (1998)MathSciNetzbMATHCrossRefGoogle Scholar
  3. F. Collin, R. Charlier, R. Chambon, A finite element method for poro mechanical modeling of geotechnical problems using local second gradient model. Int. J. Num. Meth. Eng. 65, 1749–1772 (2006)MathSciNetzbMATHCrossRefGoogle Scholar
  4. O. Coussy, Mechanics of Porous Continua (Wiley, London, 1995)zbMATHGoogle Scholar
  5. R. Fernandes, C. Chavant, R. Chambon, A simplified second gradient model for dilatant materials: theory and numerical implementation. Int. J. Solids Struct. 45, 5289–5307 (2008)zbMATHCrossRefGoogle Scholar
  6. Y. Sieffert, S. Al-Holo, R. Chambon, Loss of uniqueness of solutions of the borehole problem modeled with enhanced media. Int. J. Solids Struct. 46, 3173–3197 (2009)MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Laboratoire 3S-RGrenoble Université, Université Joseph FourierGrenoble cedex 9France

Personalised recommendations