The evolution of morphology and fabric of a sand during shearing

Over the past 50 years, experimental studies have repeatedly demonstrated that the mechanical behaviour of sand is sensitive to the material fabric, i.e., the arrangement of the grains. Up until now there have been relatively few attempts to describe quantitatively the fabric of sands. In fact, most of our understanding of the link between the particle movements and interactions and the macro-scale response of granular materials, including sand, comes from discrete element modelling (DEM) and experiments on “analogue” sands with simple, idealized shapes. The aim of this study had been to describe quantitatively the particle morphology and fabric of reals and and their evolution under loading. The material investigated was Reigate sand (from Southeast England), a geologically old sand which, in its intact state, exhibits significant grain interlocking and nobonding. To explore the effects of fabric on the mechanical response of the soil, intact and reconstituted specimens both having similar densities were tested under triaxia lcompression. The specimens were impregnated with an epoxy resin at three different stages of shear deformation and small cores from each specimen were scanned using X-ray micro-tomography. Different systems and scanning parameters were explored in order to obtain three-dimensional high-resolution images with a voxel size of 5μm(0.018d50) and a quality level required for the identification of the individual particles and the surface defining each particle-particle contact.The quantification of particle size and shape has shown that breakage of fractured grains, along existing fissures, occurs both during reconstitution and shearing ofthe intact soil, a phenomenon that cannot be observed using invasive techniques such as sieve analysis. Statistical analyses of the distribution of fabric directional data in terms of particle orientations, contact normals, branch vectors and void orientations were carried out at each loading stage. It has been shown that the initial particle orientation fabric that develops during the deposition of the material tendsto persist during shearing, while the contact normals seem to be reorientated along the direction of the major principal stress in the post-peak regime. Different patterns were observed within the shear band as both the particles and the contact normals appeared to rotate towards the direction of the shear plane. The measurements from the tomographic data were complemented with a qualitative description of the morphology and fabric using SEM and optical microscope images of thin sections.

[1]  Catherine O'Sullivan,et al.  DISCRETE ELEMENT ANALYSIS OF THE RESPONSE OF GRANULAR MATERIALS DURING CYCLIC LOADING , 2008 .

[2]  E. Masad,et al.  Three-Dimensional Characterization and Simulation of Anisotropic Soil Fabric , 2000 .

[3]  B. Muhunthan,et al.  FABRIC EFFECTS ON THE YIELD BEHAVIOR OF SOILS , 1996 .

[4]  Nigel Woodcock,et al.  Specification of fabric shapes using an eigenvalue method , 1977 .

[5]  M. Glas,et al.  Principles of Computerized Tomographic Imaging , 2000 .

[6]  Pierre Bésuelle,et al.  Experimental characterisation of the localisation phenomenon inside a Vosges sandstone in a triaxial cell , 2000 .

[7]  Kanatani Ken-Ichi DISTRIBUTION OF DIRECTIONAL DATA AND FABRIC TENSORS , 1984 .

[8]  M. Coop,et al.  On the behaviour of Thanet Sand: an example of an uncemented natural sand , 2009 .

[9]  T. Kagawa,et al.  Microscopic Measurement of Sand Fabric from Cyclic Tests Causing Liquefaction , 1991 .

[10]  Masanobu Oda,et al.  Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling , 1982 .

[11]  Xia Li,et al.  Micro-Macro Quantification of the Internal Structure of Granular Materials , 2009 .

[12]  J. David Frost,et al.  EVOLUTION OF SAND MICROSTRUCTURE DURING SHEAR , 2000 .

[13]  F. Molenkamp,et al.  STRESS-INDUCED ANISOTROPY IN GRANULAR MASSES , 1986 .

[14]  Matthew Richard Coop,et al.  On the Identification of Critical State Lines for Sands , 2002 .

[15]  Ching S. Chang,et al.  Initial moduli of particulated mass with frictional contacts , 1989 .

[16]  I. Cavarretta,et al.  The influence of particle characteristics on the engineering behaviour of granular materials , 2010 .

[17]  D. Kendrick Stratigraphy and Sedimentation , 2006 .

[18]  J. D. Frost,et al.  QUANTIFICATION OF DOUBLET VECTOR DISTRIBUTION OF GRANULAR MATERIALS , 2001 .

[19]  A. Schofield,et al.  On The Yielding of Soils , 1958 .

[20]  Misko Cubrinovski,et al.  MAXIMUM AND MINIMUM VOID RATIO CHARACTERISTICS OF SANDS , 2002 .

[21]  A. Tordesillas,et al.  Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media , 2002 .

[22]  Xuan S. Yang Three-dimensional Characterization of Inherent and Induced Sand Microstructure , 2005 .

[23]  Joanne M. R. Fernlund,et al.  The effect of particle form on sieve analysis: a test by image analysis , 1998 .

[24]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[25]  J. Harkness,et al.  Potential particles for the modelling of interlocking media in three dimensions , 2009 .

[26]  J. Yamamuro,et al.  Effect of depositional method on the undrained behavior and microstructure of sand with silt , 2004 .

[27]  Sia Nemat-Nasser,et al.  Some experimentally based fundamental results on the mechanical behaviour of granular materials , 1980 .

[28]  Yanrong Fu,et al.  Experimental quantification and DEM simulation of micro-macro behaviors of granular materials using x-ray tomography imaging , 2005 .

[29]  J. D. Frost,et al.  Image analysis determination of stereology based fabric tensors , 1998 .

[30]  N. R. Morgenstern,et al.  Locked sands , 1979, Quarterly Journal of Engineering Geology.

[31]  Gioacchino Viggiani,et al.  Discrete and continuum analysis of localised deformation in sand using X-ray mu CT and volumetric digital image correlation , 2010 .

[32]  K. Soga,et al.  DEM analysis of soil fabric effects on behaviour of sand , 2010 .

[33]  R. Chambon,et al.  Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography , 1996 .

[34]  Takashi Oguchi,et al.  Evaluation of gravel sphericity and roundness based on surface-area measurement with a laser scanner , 2005, Comput. Geosci..

[35]  C. Martin,et al.  Characterization of Locked Sand from Northeastern Alberta , 2008 .

[36]  Matthew R. Kuhn,et al.  Structured deformation in granular materials , 1999 .

[37]  S. Stock Recent advances in X-ray microtomography applied to materials , 2008 .

[38]  T. Ng Macro- and micro-behaviors of granular materials under different sample preparation methods and stress paths , 2004 .

[39]  Richard J. Jardine,et al.  On the applicability of cross-anisotropic elasticity to granular materials at very small strains , 2002 .

[40]  Rc Chaney,et al.  Shear Deformation of Locked Sand in Triaxial Compression , 2000 .

[41]  M. Satake,et al.  Fabric tensor in granular materials , 1982 .

[42]  Matthew Richard Coop,et al.  On the mechanics of structured sands , 1999 .

[43]  Bernard Cambou,et al.  Structural changes in granular materials: The case of irregular polygonal particles , 2005 .

[44]  P. Danielsson Euclidean distance mapping , 1980 .

[45]  M. Coop,et al.  Quantitative Description of Grain Contacts in a Locked Sand , 2010 .

[46]  R. Al-Raoush,et al.  Distribution of local void ratio in porous media systems from 3D X-ray microtomography images , 2006 .

[47]  H. Dines ‘Soil’ Mechanics , 1944, Nature.

[48]  R. Bathurst,et al.  Analytical study of induced anisotropy in idealized granular materials , 1989 .

[49]  Luis Ibáñez,et al.  The ITK Software Guide , 2005 .

[50]  M. Barton,et al.  Avoiding Microfabric Disruption During the Impregnation of Friable, Uncemented Sands with Dyed Epoxy: RESEARCH METHOD PAPER , 1986 .

[51]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[52]  H. Wadell Volume, Shape, and Roundness of Rock Particles , 1932, The Journal of Geology.

[53]  Masanobu Oda,et al.  Yield Function for Soil with Anisotropic Fabric , 1989 .

[54]  C. Bonilla,et al.  Particle‐size effects in the compression of powders , 1962 .

[55]  T. Cuccovillo Shear behaviour and stiffness of naturally cemented sands , 1995 .

[56]  Theodor Zingg,et al.  Beitrag zur Schotteranalyse , 1935 .

[57]  S. R. Stock,et al.  X-ray microtomography of materials , 1999 .

[58]  Yannis F. Dafalias,et al.  Sand Plasticity Model Accounting for Inherent Fabric Anisotropy , 2004 .

[59]  W. Brent Lindquist,et al.  Image Thresholding by Indicator Kriging , 1999, IEEE Trans. Pattern Anal. Mach. Intell..

[60]  M. El-Sohby INITIAL FABRICS AND THEIR RELATIONS TO MECHANICAL PROPERTIES OF GRANULAR MATERIAL , 1973 .

[61]  Catherine O'Sullivan,et al.  Exploring the macro- and micro-scale response of an idealised granular material in the direct shear apparatus , 2006 .

[62]  K. Maeda,et al.  Mechanical Properties of Elliptic Microstructure Formed in Granular Materials , 1995 .

[63]  P. R. Vaughan,et al.  The general and congruent effects of structure in natural soils and weak rocks , 1990 .

[64]  C. Thornton NUMERICAL SIMULATIONS OF DEVIATORIC SHEAR DEFORMATION OF GRANULAR MEDIA , 2000 .

[65]  Gunilla Borgefors,et al.  On Digital Distance Transforms in Three Dimensions , 1996, Comput. Vis. Image Underst..

[66]  M. Barton,et al.  The Folkestone Bed sands: microfabric and strength , 1999, Quarterly Journal of Engineering Geology.

[67]  BEHAVIOUR OF GRANULAR MATERIALS IN RELATION TO THEIR FABRIC DEPENDENCIES , 2005 .

[68]  Xubin Su,et al.  Shear strength, interparticle locking, and dilatancy of granular materials , 2007 .

[69]  Michael A. Taylor,et al.  Quantitative measures for shape and size of particles , 2002 .

[70]  諸戸 靖史,et al.  CO-ORDINATION NUMBER AND ITS RELATION TO SHEAR STRENGTH OF GRANULAR MATERIAL , 1978 .

[71]  Richard J. Bathurst,et al.  Micromechanical features of granular assemblies with planar elliptical particles , 1992 .

[72]  D. Gonzalez,et al.  Numerical and experimental investigation into the behaviour of granular materials under generalised stress states , 2010 .

[73]  Catherine O'Sullivan,et al.  A re-evaluation of the Fourier descriptor approach to quantifying sand particle geometry , 2008 .

[74]  K. Alshibli,et al.  Characterizing Surface Roughness and Shape of Sands Using Digital Microscopy , 2004 .

[75]  Amy L. Rechenmacher,et al.  Evolution of force chains in shear bands in sands , 2010 .

[76]  W. Busscher Fundamentals of Soil Behavior , 1994 .

[77]  Joseph F Labuz,et al.  Field and laboratory testing of St. Peter sandstone , 2002 .

[78]  A. R. Videla,et al.  Watershed Functions Applied to a 3D Image Segmentation Problem for the Analysis of Packed Particle Beds , 2006 .

[79]  Eric Vincens,et al.  Influence of particle shape and angularity on the behaviour of granular materials: a numerical analysis , 2003 .

[80]  P. Lade,et al.  Modeling Cross Anisotropy in Granular Materials , 2007 .

[81]  Kenichi Maeda,et al.  Physical Characteristics Of Sands with Different Primary Properties , 1997 .

[82]  B. K. Menzies,et al.  Inherent anisotropy in a sand , 1972 .

[83]  J. Santamarina,et al.  Closure of "Particle Shape Effects on Packing Density, Stiffness, and Strength: Natural and Crushed Sands" , 2006 .

[84]  Masanobu Oda,et al.  Microscopic Deformation Mechanism of Granular Material in Simple Shear , 1974 .

[85]  Catherine O'Sullivan,et al.  Quantifying the Evolution of Soil Fabric Under Different Stress Paths , 2009 .

[86]  C. Kuo,et al.  Quantifying the fabric of granular materials an image analysis approach , 1994 .

[87]  M. E. Barton,et al.  Cohesive sands: The natural transition from sands to sandstones , 1993 .

[88]  P. Guo,et al.  Effect of microstructure on undrained behaviour of sands , 2001 .

[89]  Jin-Young Park,et al.  Representation of real particles for DEM simulation using X-ray tomography , 2007 .

[90]  M. E. Barton,et al.  A geotechnical investigation of two Hampshire Tertiary Sand Beds: are they locked sands? , 1986, Quarterly Journal of Engineering Geology.

[91]  F. Tatsuoka DEFORMATION MECHANISM OF SAND IN TRIAXIAL COMPRESSION TESTS , 1973 .

[92]  H. J. Herrmann,et al.  Influence of particle shape on sheared dense granular media , 2006 .

[93]  Z. X. Yang,et al.  Quantifying and modelling fabric anisotropy of granular soils , 2008 .

[94]  K. Iwashita,et al.  Mechanics of Granular Materials , 2020 .

[95]  E. Hodson,et al.  Adaptive Gaussian filtering and local frequency estimates using local curvature analysis , 1981 .

[96]  Lidija Zdravković,et al.  Some anisotropic stiffness characteristics of a silt under general stress conditions , 1997 .

[97]  J. Curray,et al.  The Analysis of Two-Dimensional Orientation Data , 1956, The Journal of Geology.

[98]  H. Ismail,et al.  THE MECHANISM OF FABRIC CHANGES DURING COMPRESSIONAL DEFORMATION OF SAND , 1973 .

[99]  C. P. Wroth,et al.  A Stress–Strain Relationship for the Shearing Behaviour of a Sand , 1965 .

[100]  X. M. A laboratory study of the development of earth pressure behind integral bridge abutments , 2006 .

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

[102]  The Measurement of Residual Strength in Triaxial Compression , 1966 .

[103]  Dimitris N. Metaxas,et al.  Open science - combining open data and open source software: Medical image analysis with the Insight Toolkit , 2005, Medical Image Anal..

[104]  Riyadh I. Al-Raoush,et al.  Microstructure characterization of granular materials , 2007 .

[105]  Jun Otani,et al.  APPLICATION OF X-RAY CT METHOD FOR CHARACTERIZATION OF FAILURE IN SOILS , 2000 .

[106]  A. Casagrande,et al.  Characteristics of cohesionless soils affecting the stability of slopes and earth fills , 1940 .

[107]  R. Ketcham,et al.  Acquisition, optimization and interpretation of X-ray computed tomographic imagery: applications to the geosciences , 2001 .

[108]  Johann Kastner,et al.  A comparative study of high resolution cone beam X-ray tomography and synchrotron tomography applied to Fe- and Al-alloys , 2010, NDT & E international : independent nondestructive testing and evaluation.

[109]  Pierre Bésuelle,et al.  Strain localization in geomaterials , 2007 .

[110]  Braja M. Das,et al.  Introduction to Geotechnical Engineering , 1985 .

[111]  A. W. Cresswell,et al.  Determining the maximum density of sands by pluviation , 1999 .

[112]  K Brockdorf,et al.  NanoCT: Visualizing of Internal 3D-Structures with Submicrometer Resolution , 2007, Microscopy and Microanalysis.

[113]  A. Bhandari,et al.  The mechanics of an unbonded locked sand at low effective stresses , 2009 .

[114]  Kwan-Liu Ma,et al.  The Occlusion Spectrum for Volume Classification and Visualization , 2009, IEEE Transactions on Visualization and Computer Graphics.

[115]  A. W. Cresswell Block sampling and test sample preparation of locked sands , 2001 .

[116]  Ross T. Whitaker,et al.  Case study: an evaluation of user-assisted hierarchical watershed segmentation , 2005, Medical Image Anal..

[117]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[118]  Larry L. Hench,et al.  Analysis of pore interconnectivity in bioactive glass foams using X-ray microtomography , 2004 .

[119]  V. Palciauskas,et al.  A Model for Sandstone Compaction by Grain Interpenetration , 1992 .

[120]  A. Drescher,et al.  Photoelastic verification of a mechanical model for the flow of a granular material , 1972 .

[121]  S. Wilkins,et al.  Phase-contrast imaging of weakly absorbing materials using hard X-rays , 1995, Nature.

[122]  F. Tatsuoka,et al.  A SIMPLE GAUGE FOR LOCAL SMALL STRAIN MEASUREMENTS IN THE LABORATORY , 1991 .

[123]  Henry Clifton Sorby,et al.  On the Application of Quantitative Methods to the Study of the Structure and History of Rocks , 1908, Quarterly Journal of the Geological Society of London.

[124]  Jan D. Miller,et al.  3D characterization and analysis of particle shape using X-ray microtomography (XMT) , 2005 .

[125]  D. Jang,et al.  Quantification of sand structure and its evolution during shearing using image analysis , 1997 .

[126]  R. K Uw,et al.  On the applicability of cross-anisotropic elasticity to granular materials at very small strains , 2002 .

[127]  G. Deng,et al.  An adaptive Gaussian filter for noise reduction and edge detection , 1993, 1993 IEEE Conference Record Nuclear Science Symposium and Medical Imaging Conference.

[128]  N. C. Janke The shape of rock particles, a critical review , 1981 .

[129]  Yu-Hsing Wang,et al.  Mechanisms of Small-Strain Shear-Modulus Anisotropy in Soils , 2008 .

[130]  Felix Beckmann,et al.  Comparison between x-ray tube-based and synchrotron radiation-based μCT , 2008, Optical Engineering + Applications.

[131]  K. Soga,et al.  Particle shape characterisation using Fourier descriptor analysis , 2001 .

[132]  Ken Been,et al.  A STATE PARAMETER FOR SANDS , 1985 .

[133]  S. Beucher Use of watersheds in contour detection , 1979 .

[134]  S. Frydman,et al.  STRESS-DILATION OF UNDISTURBED SAND SAMPLES IN DRAINED AND UNDRAINED TRIAXIAL SHEAR , 2007 .

[135]  M. Oda,et al.  Microstructure of shear bands and its relation to the mechanisms of dilatancy and failure of dense granular soils , 1998 .

[136]  Mahdia Hattab,et al.  Experimental study of kaolin particle orientation mechanism , 2010 .

[137]  Luc Vincent,et al.  Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[138]  Edward Battersby Bailey,et al.  Geological Survey in Great Britain , 1910, Nature.

[139]  Alsidqi Hasan,et al.  Experimental assessment of 3D particle-to-particle interaction within sheared sand using synchrotron microtomography , 2010 .

[140]  Masanobu Oda,et al.  Microstructure in shear band observed by microfocus X-ray computed tomography , 2004 .

[141]  Bülent Sankur,et al.  Survey over image thresholding techniques and quantitative performance evaluation , 2004, J. Electronic Imaging.

[142]  小田 匡寛,et al.  FABRIC TENSOR FOR DISCONTINUOUS GEOLOGICAL MATERIALS , 1982 .

[143]  S. Nemat-Nasser,et al.  Experimental Micromechanical Evaluation of the Strength of Granular Materials: Effects of Particle Rolling , 1983 .

[144]  Tang-Tat Ng Fabric Study of Granular Materials after Compaction , 1999 .

[145]  R. F. Sorsbie,et al.  Geology for Engineers , 1911, Nature.

[146]  Richard J. Jardine,et al.  The measurement of soil stiffness in the triaxial apparatus , 1984 .

[147]  Ross T. Whitaker,et al.  Partitioning 3D Surface Meshes Using Watershed Segmentation , 1999, IEEE Trans. Vis. Comput. Graph..

[148]  Tang-Tat Ng Fabric evolution of ellipsoidal arrays with different particle shapes , 2001 .

[149]  R. Wong Strain-induced anisotropy in fabric and hydraulic parameters of oil sand in triaxial compression , 2003 .

[150]  Graham R. Davis,et al.  Artefacts in X-ray microtomography of materials , 2006 .

[151]  J. C. Santamarina,et al.  Soil behaviour: The role of particle shape , 2004 .

[152]  Tang-Tat Ng,et al.  Particle shape effect on macro‐ and micro‐behaviors of monodisperse ellipsoids , 2009 .

[153]  Matthew Richard Coop,et al.  Yielding and pre-failure deformation of structured sands , 1997 .

[154]  F. Gossling The geology of the country around Reigate , 1929 .

[155]  L. Feldkamp,et al.  Practical cone-beam algorithm , 1984 .

[156]  R. Behringer,et al.  Fluctuations in granular media. , 1999, Chaos.

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

[158]  S. Pizer,et al.  The Image Processing Handbook , 1994 .

[159]  S. Nemat-Nasser,et al.  A Micromechanical Description of Granular Material Behavior , 1981 .

[160]  Ching S. Chang,et al.  Packing Structure and Mechanical Properties of Granulates , 1990 .

[161]  J. D. Frost,et al.  PREPARATION OF EPOXY IMPREGNATED SAND COUPONS FOR IMAGE ANALYSIS , 1999 .

[162]  N. P. Kruyt,et al.  Critical state and evolution of coordination number in simulated granular materials , 2004 .

[163]  William Powrie,et al.  Triaxial tests on an unbonded locked sand , 2004 .