Unsaturated soils are highly heterogeneous 3-phase porous media. Variations of temperature, the degree of saturation, and density have dramatic impacts on the hydro-mechanical behavior of unsaturated soils. To model all these features, we present a thermo-hydro-plastic model in which the hydro-mechanical hardening and thermal softening are incorporated in a hierarchical fashion for unsaturated soils. This novel constitutive model can capture heterogeneities in density, suction, the degree of saturation, and temperature. Specifically, this constitutive model has 2 ingredients: (1) it has a "mesoscale" mechanical state variable-porosity and 3 environmental state variables-suction, the degree of saturation, and temperature; (2) both temperature and mechanical effects on water retention properties are taken into account. The return mapping algorithm is applied to implement this model at Gauss point assuming an infinitesimal strain. At each time step, the return mapping is conducted only in principal elastic strain space, assuming no return mapping in suction and temperature.The numerical results obtained by this constitutive model are compared with the experimental results. It shows that the proposed model can simulate the thermo-hydro-mechanical behavior of unsaturated soils with satisfaction. We also conduct shear band analysis of an unsaturated soil specimen under plane strain condition to demonstrate the impact of temperature variation on shear banding triggered by initial material heterogeneities.
KEYWORDSconstitutive model, mesoscale, shear band, THM behavior, unsaturated soils
INTRODUCTIONUnsaturated soils are 3-phase porous media with a solid phase-soil solid skeleton and 2 fluid phases-pore water, and pore air. 1-3 In the past several decades, the geomechanics community has shown significant interest in the thermo-hydro-mechanical (THM) analysis of unsaturated soils because the THM behavior of unsaturated soils is relevant to numerous engineering applications, such as nuclear waste disposal storage, pavements, geothermal energy, and buried high-voltage cables. In those applications, temperature impacts mechanical and physical behavior of unsaturated soils, such as the shear strength, deformation, and fluid flow and mass transport. 4,5 For instance, the increase in temperature may cause volumetric strain or dilation depending on the overconsolidation ratio of the soil. 6 For this reason, laboratory experiments 7-9 and numerical analysis 10-14 have been performed to probe the coupled multiphysical processes of solid