Thermo-Mechanical Potentials for Unsaturated Soils

  • Benjamin Loret
  • Nasser Khalili
Part of the International Centre for Mechanical Sciences book series (CISM, volume 426)


The behaviour of unsaturated soils is known to depend strongly and in a nonlinear way of suction. Usual elastic formulations store energy during arbitrary paths in the stress and strain spaces. To avoid polluting the interpretation of the energy balance when thermal effects are accounted for, a hyperelastic formulation is systematically developed, first in a purely mechanical analysis, and in a second step, in a thermo-mechanical analysis where each of the three phases is endowed with its own temperature. The secant constitutive matrices are shown to lack symmetry, in contrast with the tangent matrices. For the mechanical analysis, the potentials are obtained in explicit form for the stress-based formulation and for a mixed formulation. The thermo-mechanical potential accounting for the menisci effect is also provided for the formulation where the solid strain, the two fluid pressures and the three phase temperatures are the primary variables.


Bulk Modulus Unsaturated Soil Solid Skeleton Complementary Energy Plastic Multiplier 
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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Benjamin Loret
    • 1
  • Nasser Khalili
    • 2
  1. 1.Laboratoire Sols, Solides, StructuresGrenoble CedexFrance
  2. 2.School of Civil and Environmental EngineeringThe University of New South WalesSydneyAustralia

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