Anisotropy of a Tensorial Bishop’s Coefficient for Wetted Granular Materials

AbstractThe objective of this research is to use grain-scale numerical simulations to analyze the evolution of stress anisotropy exhibited in wetted granular matter. Multiphysical particulate simulations of unsaturated granular materials were conducted to analyze how the interactions of contact force chains and liquid bridges affect macroscopic responses under various suction pressure and loading histories. To study how the formation and rupture of liquid bridges affect the mechanical responses of wetted granular materials, a series of suction-controlled triaxial tests were conducted with two grain assemblies, one composed of large particles of similar sizes, the other composed of a mixture of large particles with significant amount of fines. The results indicate that capillary stresses are anisotropic in both sets of specimens, and that stress anisotropy is more significant in granular assemblies filled with fine particles. A generalized tensorial Bishop’s coefficient is introduced to analyze the connect...

[1]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[2]  R. Wan,et al.  Micromechanical Analysis of Force Transport in Wet Granular Soils , 2014 .

[3]  M. E. El Youssoufi,et al.  Capillary cohesion and mechanical strength of polydisperse granular materials , 2006, The European physical journal. E, Soft matter.

[4]  WaiChing Sun,et al.  A stabilized assumed deformation gradient finite element formulation for strongly coupled poromechanical simulations at finite strain , 2013 .

[5]  Bruno Chareyre,et al.  On the capillary stress tensor in wet granular materials , 2009, 1105.1013.

[6]  R. Day EFFECT OF FINES AND CONFINING STRESS ON UNDRAINED SHEAR STRENGTH OF SILTY SANDSa Discussion , 1999 .

[7]  WaiChing Sun,et al.  A unified method to predict diffuse and localized instabilities in sands , 2013 .

[8]  Thierry Massart,et al.  A tomographic imagery segmentation methodology for three-phase geomaterials based on simultaneous region growing , 2014 .

[9]  Ning Lu,et al.  Tensile Strength Characteristics of Unsaturated Sands , 2007 .

[10]  WaiChing Sun,et al.  A multiscale DEM-LBM analysis on permeability evolutions inside a dilatant shear band , 2013 .

[11]  A. Fall,et al.  Sliding friction on wet and dry sand. , 2014, Physical review letters.

[12]  Minna Karstunen,et al.  Comments on use of the Barcelona Basic Model for unsaturated soils , 2002 .

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

[14]  Yosuke Higo,et al.  Investigation of localized deformation in partially saturated sand under triaxial compression using microfocus X-ray CT with digital image correlation , 2013 .

[15]  Joseph J. McCarthy,et al.  Numerical simulation of liquid transfer between particles , 2008 .

[16]  Eduardo Alonso,et al.  A microstructurally based effective stress for unsaturated soils , 2010 .

[17]  C. Saix,et al.  Influence de la température sur la courbe de rétention d'eau de milieux poreux , 2006 .

[18]  Colin Thornton,et al.  A Theoretical Study of the Liquid Bridge Forces between Two Rigid Spherical Bodies , 1993 .

[19]  Ning Lu,et al.  Unsaturated Soil Mechanics , 2004 .

[20]  Miyuki Koiso,et al.  Anisotropic capillary surfaces with wetting energy , 2007 .

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

[22]  Ching S. Chang,et al.  A microstructural elastoplastic model for unsaturated granular materials , 2007 .

[23]  F. Maio,et al.  Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes , 2004 .

[24]  Vincent Richefeu,et al.  Shear strength properties of wet granular materials. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Long Chen FINITE ELEMENT METHOD , 2013 .

[26]  Ronaldo I. Borja,et al.  On the effective stress in unsaturated porous continua with double porosity , 2009 .

[27]  WaiChing Sun,et al.  Modeling the hydro-mechanical responses of strip and circular punch loadings on water-saturated collapsible geomaterials , 2014 .

[28]  Balasingam Muhunthan,et al.  Characterizing Liquid Phase Fabric of Unsaturated Specimens from X-Ray Computed Tomography Images , 2012 .

[29]  WaiChing Sun,et al.  Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability , 2011 .

[30]  M. Oda,et al.  Micro-Deformation Mechanism of Shear Banding Process Based on Modified Distinct Element Method , 1999 .

[31]  N. P. Kruyt,et al.  Micromechanical Definition of the Strain Tensor for Granular Materials , 1996 .

[32]  Lyesse Laloui,et al.  On the use of the generalised effective stress in the constitutive modelling of unsaturated soils , 2009 .

[33]  P. Culligan,et al.  Effective Stress and Shear Strength of Moist Uniform Spheres , 2014 .

[34]  M NewittD,et al.  A contribution to the theory and practice of granulation. , 1958 .

[35]  Koichi Iinoya,et al.  The capillary binding force of a liquid bridge , 1974 .

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

[37]  Reint de Boer,et al.  Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory , 1996 .

[38]  WaiChing Sun,et al.  Connecting microstructural attributes and permeability from 3D tomographic images of in situ shear‐enhanced compaction bands using multiscale computations , 2011 .

[39]  Farhang Radjai,et al.  Micromechanics of granular materials , 2009 .

[40]  H. Missoum,et al.  RETRACTED ARTICLE: Numerical analysis of multiphase flow in porous material , 2014 .

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

[42]  Serge Leroueil,et al.  Insight into shear strength functions of unsaturated granulates by DEM analyses , 2004 .

[43]  Jerry A. Yamamuro,et al.  Effects of nonplastic fines on static liquefaction of sands , 1997 .

[44]  S. Thevanayagam,et al.  Effect of Fines and Confining Stress on Undrained Shear Strength of Silty Sands , 1999 .

[45]  K. Terzaghi,et al.  Soil mechanics in engineering practice , 1948 .