Simulation of Nonisothermal Consolidation of Saturated Soils Based on a Thermodynamic Model

Based on the nonequilibrium thermodynamics, a thermo-hydro-mechanical coupling model for saturated soils is established, including a constitutive model without such concepts as yield surface and flow rule. An elastic potential energy density function is defined to derive a hyperelastic relation among the effective stress, the elastic strain, and the dry density. The classical linear non-equilibrium thermodynamic theory is employed to quantitatively describe the unrecoverable energy processes like the nonelastic deformation development in materials by the concepts of dissipative force and dissipative flow. In particular the granular fluctuation, which represents the kinetic energy fluctuation and elastic potential energy fluctuation at particulate scale caused by the irregular mutual movement between particles, is introduced in the model and described by the concept of granular entropy. Using this model, the nonisothermal consolidation of saturated clays under cyclic thermal loadings is simulated in this paper to validate the model. The results show that the nonisothermal consolidation is heavily OCR dependent and unrecoverable.

[1]  M. Tidfors,et al.  TEMPERATURE EFFECT ON PRECONSOLIDATION PRESSURE , 1989 .

[2]  Mario Liu,et al.  From elasticity to hypoplasticity: dynamics of granular solids. , 2007, Physical review letters.

[3]  Liping Liu THEORY OF ELASTICITY , 2012 .

[4]  Nabil Sultan,et al.  The thermal consolidation of Boom clay , 2000, Poromechanics.

[5]  Robert E. Paaswell,et al.  Temperature Effects on Clay Soil Consolidation , 1967 .

[6]  L. Laloui,et al.  Experimental study of thermal effects on the mechanical behaviour of a clay , 2004 .

[7]  Lyesse Laloui,et al.  Thermo-plasticity of clays: an isotropic yield mechanism , 2003 .

[8]  Paul C. Martin,et al.  Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids , 1972 .

[9]  Pierre Delage,et al.  Field simulation of in situ water content and temperature changes due to ground–atmospheric interactions , 2005 .

[10]  S. Majid Hassanizadeh,et al.  Derivation of basic equations of mass transport in porous media, Part 2. Generalized Darcy's and Fick's laws , 1986 .

[11]  Lanru Jing,et al.  A fully coupled thermo-hydro-mechanical model for simulating multiphase flow, deformation and heat transfer in buffer material and rock masses , 2010 .

[12]  A. Peano,et al.  A constitutive law for thermo-plastic behaviour of rocks: an analogy with clays , 1994 .

[13]  L. Onsager Reciprocal Relations in Irreversible Processes. II. , 1931 .

[14]  Mario Liu,et al.  Granular solid hydrodynamics , 2008, 0807.1883.

[15]  I. Towhata,et al.  TEMPERATURE EFFECTS ON UNDRAINED SHEAR CHARACTERISTICS OF CLAY , 1995 .

[16]  Zhichao Zhang,et al.  Formulation of Tsinghua-Thermosoil Model: A Fully Coupled THM Model Based on Non-equilibrium Thermodynamic Approach , 2013 .

[17]  L. Moritz,et al.  Geotechnical properties of clay at elevated temperatures , 1995 .

[18]  Tin Chan,et al.  A three-dimensional numerical model for thermohydromechanical deformation with hysteresis in a fractured rock mass , 2000 .

[19]  Energetic instability unjams sand and suspension. , 2004, Physical review letters.