Abstract
Granular particles undergo translation and rolling when they are sheared. This paper presents a three-dimensional (3D) experimental assessment of fabric evolution of sheared sand at the particle level. F-75 Ottawa sand specimen was tested under an axisymmetric triaxial loading condition. It measured 9.5 mm in diameter and 20 mm in height. The quantitative evaluation was conducted by analyzing 3D high-resolution x-ray synchrotron micro-tomography images of the specimen at eight axial strain levels. The analyses included visualization of particle translation and rotation, and quantification of fabric orientation as shearing continued. Representative individual particles were successfully tracked and visualized to assess the mode of interaction between them. This paper discusses fabric evolution and compares the evolution of particles within and outside the shear band as shearing continues. Changes in particle orientation distributions are presented using fabric histograms and fabric tensor.
Similar content being viewed by others
References
Al-Shibli, K., Macari, E., Sture, S.: Digital imaging techniques for the assessment of homogeneity of granular materials. Transportation Research-Record No. 1526, pp. 80–91 (1996)
Alshibli K.A., Alramahi B.A.: Microscopic evaluation of strain distribution in granular materials during shear. J. Geotech. Geoenviron. Eng. 132(1), 483–494 (2006)
Anandarajah A.: Sliding and rolling constitutive theory for granular materials. J. Eng. Mech. 13(6), 665–680 (2004)
Anandarajah A., Kuganenthira N.: Some aspects of fabric anisotropy of soil. Geotechnique 45(1), 69–81 (1995)
Arthur J.R.F., Dunstan T.: Radiography measurements of particle packing. Nature 223(2), 464–468 (1969)
Arthur J.R.F., Dunstan T.: Radiological techniques developed to describe particle packing. Powder Technol. 3, 195–207 (1970)
Aste T.: Variations around disordered close packing. J. Phys. Condens. Matter 17, S2361–S2390 (2005)
Aste T., Saadatfar M., Sakellariou A., Senden T.J.: Investigating the geometrical structure of disordered sphere packings. Phys. A 339, 16–23 (2004)
Aste T., Saadatfar M., Senden T.J.: Geometrical structure of disordered sphere packings. Phys. Rev. E 71, 061301 (2005)
Bardet J.P.: Observations on the effects of particle rotations on the failure of idealized granular materials. Mech. Mater. 18, 159–182 (1994)
Batiste S.N., Alshibli K.A., Sture S., Lankton M.: Shear band characterization of triaxial sand specimens using computed tomography. Geotech. Test. J. 27(6), 568–579 (2004)
Chang C.S., Matsushima T., Lee X.: Heterogeneous strain and bonded granular structure change in triaxial specimen studied by computer tomography. J. Eng. Mech. 129(11), 1295–1307 (2003)
Desrues J., Chambon R., Mokni M., Mazerolle F.: Void ratio evolution inside shear bands in triaxial sand specimens studied by computed tomography. Geotechnique 46(3), 529–546 (1996)
Frost J.D., Kuo C.Y.: Automated determination of the distribution of local void ratio from digital images. Geotech. Test. J. 19(2), 107–117 (1996)
Hasan, A., Alshibli, K., Heinrich, J., Rivers, M., Eng, P.: Visualization of Shear Band in Sand Using Synchrotron Micro-Tomography. In: Proceedings of GeoCongress 2008, Characterization, Monitoring, and Modeling of GeoSystems GSP 179, pp. 1028–1035. ASCE, New Orleans (2008)
Kanatani K.: Distribution of directional data and fabric tensors. Int. J. Eng. Sci. 22(2), 149–164 (1984)
Konagai, K., Rangelow, P.: Real-time observation of dynamic changes in the fabric of granular material structures through Laser-Aided Tomography. In: Proceedings of the 10th European Conference Earthquake Engineering, Vienna, pp. 459–465 (1994)
Konagai K., Tamura C., Rangelow P., Matsushima T.: Laser-aided tomography: a tool for visualization of changes in the fabric of granular assemblage. Struct. Eng. Earthq. Eng. 9(3), 193–201 (1992)
Matsushima T., Hidetaka S., Yosuke T., Yasuo Y.: Grain rotation versus continuum rotation during shear deformation of granular. Soils Found. 43(4), 95–106 (2003)
Matsushima T., Uesugi K., Nakano T., Tsuchiyama A.: Visualization of grain motion inside a triaxial specimen by micro X-ray CT at SPring-8. In: Desrues, J., Viggiani, G., Besuelle, P. (eds) Advances in X-ray Tomography for Geomaterials, pp. 255–261. ISTE Ltd., London (2006)
Mitchell J., Soga K.: Fundametals of Soil Behavior. 3rd edn. Wiley, Hoboken (2005)
Mueth D.M., Debregeas G.F., Karczmar G.S., Eng P.J., Nagel S.R., Jaeger H.M.: Signatures of granular microstructure in dense shear flows. Nature 406, 385–389 (2000)
Nemat-Nasser S., Okada N.: Radiographic and microscopic observation of shear bands in granular materials. Geotechnique 51(9), 753–765 (2001)
Ng, T., Aube, D., Altobelli, S.: 3-D MRI Experiment of Granular Material. In: Proceedings of Symposium on Mechanical Deformation and Flow of Particulate Materials, pp. 189–198. Evanston, Illinois (1997)
Ng, T., Hu, C., Altobelli, S.: Void Distributions in Samples of a Granular Material. In: Proceedings of GeoShanghai, Site and Geomaterial Characterization, pp. 104–111. Shanghai (2006)
Oda M.: The mechanics of fabric changes during compressional deformation of sand. Soils Found. 12(2), 1–18 (1972)
Oda M., Iwashita K., Kakiuchi T.: Importance of Particle Rotation in the Mechanics of Granular Materials. Powder & Grains 97, Balkema, Rotterdam (1997)
Oda M., Kazama H.: Microstructure in shear band and its relation to the mechanisms of dilatancy and failure of dense granular soils. Geotechnique 48(1), 1–17 (1998)
Oda M., Takemura T., Takahashi M.: Microstructure in shear band observed by microfocus X-ray computed tomography. Geotechnique 54(8), 335–539 (2004)
Oh W., Lindquist W.: Image thresholding by indicator Kriging. IEEE Trans. Pattern Anal. Mach. Intell. 21(7), 590–602 (1999)
Rowe P.W.: The stress-dilatancy relation for static equilibrium ofan assembly of particles in contact. Proc. R. Soc. A 269, 500–527 (1962)
Shodja H.M., Nezami E.G.: A micromechanical study of rolling and sliding in assemblies of oval granules. Int. J. Numer. Anal. Methods Geomech. 27, 403–424 (2003)
Tordesillas A., Walsh D.C.: Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media. Powder Technol. 124, 106–111 (2002)
Thompson K.E., Willson C.S., Zhang W.: Quantitative computer reconstruction of particulate materials from microtomography images. Powder Technol. 163, 169–182 (2006)
Watkins J.C., Fukushima E.: High-pass bird-cage coil for nuclear magnetic resonance. Rev. Sci. Instrum. 59, 926–929 (1988)
Author information
Authors and Affiliations
Corresponding author
Electronic supplementary material
ESM (MP4 127 kb)
ESM (MP4 136 kb)
Rights and permissions
About this article
Cite this article
Hasan, A., Alshibli, K. Three dimensional fabric evolution of sheared sand. Granular Matter 14, 469–482 (2012). https://doi.org/10.1007/s10035-012-0353-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10035-012-0353-0