A microstructurally based effective stress for unsaturated soils

Current alternative choices of stress state variables in unsaturated soils are described and compared, with a special focus on the use of an effective stress. Experimental data on stiffness and shear strength evolution with suction suggest that the proportion of suction contributing to the effective stress is often much smaller than predicted by the term ‘suction times degree of saturation' generally used in effective stress expressions of the Bishop type. It is suggested that effective stress in unsaturated soils should be related to soil microstructure. An effective degree of saturation is defined as describing the volume of water partially filling the soil macroporosity. This effective degree of saturation defines the proportion of the prevailing suction that actually contributes to the effective stress. Two alternative expressions (piecewise linear and non-linear) are proposed for the effective degree of saturation. They offer a similar performance. Available data on stiffness and shear strength varia...

[1]  Nasser Khalili,et al.  A three-phase model for unsaturated soils , 2000 .

[2]  R. Pusch,et al.  Physico/chemical stability of smectite clays , 1996 .

[3]  Antonio Gens,et al.  Finite element formulation and algorithms for unsaturated soils. Part I: Theory , 2003 .

[4]  L. Dormieux,et al.  On the validity of the effective stress concept for assessing the strength of saturated porous materials: A homogenization approach , 1996 .

[5]  N. Khalili,et al.  A unique relationship for χ for the determination of the shear strength of unsaturated soils , 1998 .

[6]  O. Coussy Revisiting the constitutive equations of unsaturated porous solids using a Lagrangian saturation concept , 2007 .

[7]  Luc Dormieux,et al.  Micromechanics of saturated and unsaturated porous media , 2002 .

[8]  Lyesse Laloui,et al.  Solid–liquid–air coupling in multiphase porous media , 2003 .

[9]  R. H. Brooks,et al.  Hydraulic properties of porous media , 1963 .

[10]  E. R. J.Vaunat Retention curves of deformable clays , 2000 .

[11]  Nasser Khalili,et al.  An effective stress elastic–plastic model for unsaturated porous media , 2002 .

[12]  Delwyn G. Fredlund,et al.  Shear strength characteristics of two saprolitic soils , 1996 .

[13]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[14]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[15]  A. Gens,et al.  An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour , 2003 .

[16]  Raffaella Santagiuliana,et al.  Enhancing the Bolzon–Schrefler–Zienkiewicz Constitutive Model for Partially Saturated Soil , 2006 .

[17]  Patrick Dangla,et al.  Adaptation of existing behaviour models to unsaturated states: application to CJS model , 2005 .

[18]  Tsuyoshi Miyazaki,et al.  THEORETICAL ASPECTS OF CONSTITUTIVE MODELLING FOR UNSATURATED SOILS , 1993 .

[19]  Cécile Coll,et al.  Endommagement des roches argileuses et perméabilité induite au voisinage d'ouvrages souterrains , 2005 .

[20]  Antonio Gens,et al.  Water permeability, water retention and microstructure of unsaturated compacted Boom clay , 1999 .

[21]  A. W. Bishop,et al.  The Principle of Effective Stress , 1959 .

[22]  Antonio Gens,et al.  A framework for the behaviour of unsaturated expansive clays , 1992 .

[23]  John Burland,et al.  Limitations to the Use of Effective Stresses in Partly Saturated Soils , 1962 .

[24]  Guy T. Houlsby,et al.  The work input to an unsaturated granular material , 1997 .

[25]  O. C. Zienkiewicz,et al.  Elastoplastic soil constitutive laws generalized to partially saturated states , 1996 .

[26]  K. N. Seetharamu,et al.  The Finite Element Method , 2005 .

[27]  Wolfgang Ehlers,et al.  Deformation and localization analysis of partially saturated soil , 2004 .

[28]  William G. Gray,et al.  Thermodynamic approach to effective stress in partially saturated porous media , 2001 .

[29]  Antonio Gens,et al.  Finite element formulation and algorithms for unsaturated soils. Part II: Verification and application , 2003 .

[30]  D. E. Pufahl,et al.  Model for the prediction of shear strength with respect to soil suction , 1996 .

[31]  B. Schrefler,et al.  The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media , 1998 .

[32]  Nasser Khalili,et al.  Effective Stress in Unsaturated Soils: Review with New Evidence , 2004 .

[33]  Simon J. Wheeler,et al.  Coupling of hydraulic hysteresis and stress–strain behaviour in unsaturated soils , 2003 .

[34]  Lyesse Laloui,et al.  Effective stress concept in unsaturated soils: Clarification and validation of a unified framework , 2008 .

[35]  R. J. Chandler,et al.  The filter-paper method of suction measurement , 1986 .

[36]  D. Fredlund,et al.  STRESS STATE VARIABLES FOR UNSATURATED SOILS , 1977 .

[37]  Lyesse Laloui,et al.  Elasto-plasticity of unsaturated soils : laboratory test results on a remoulded silt , 2006 .

[38]  Delwyn G. Fredlund,et al.  The relationship of the unsaturated soil shear strength to the soil-water characteristic curve , 1996 .

[39]  I. Donald,et al.  The mechanical properties of saturated and partly saturated soils, with special reference to the influence of negative pore water pressures , 1961 .

[40]  A. Bishop,et al.  Some Aspects of Effective Stress in Saturated and Partly Saturated Soils , 1963 .

[41]  A. Gens,et al.  A constitutive model for unsaturated soils: thermomechanical and computational aspects , 2004 .

[42]  Y. Cui,et al.  Yielding and plastic behaviour of an unsaturated compacted silt , 1996 .

[43]  Antonio Gens,et al.  A constitutive model for partially saturated soils , 1990 .

[44]  Enrique Edgar Romero Morales,et al.  Characterisation and thermo-hydro-mechanical behaviour of unsaturated Boom clay: an experimental study , 1999 .

[45]  R. Tamagnini,et al.  An extended Cam-clay model for unsaturated soils with hydraulic hysteresis , 2004 .

[46]  E. Alonso SUCTION AND MOISTURE REGIMES IN ROADWAY BASES AND SUBGRADES , 1998 .