3D Experimental Measurement of Lattice Strain and Fracture Behavior of Sand Particles Using Synchrotron X-Ray Diffraction and Tomography
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 143, Issue 9
Abstract
Three-dimensional synchrotron X-ray diffraction (3DXRD) and synchrotron microcomputed tomography (SMT) techniques were used to measure and monitor the lattice strain evolution and fracture behavior of natural Ottawa sand particles subjected to one-dimensional (1D) compression loading. The average particle-averaged lattice strain within each sand particle was measured using 3DXRD and then was used to calculate the corresponding lattice stress tensor. In addition, the evolution and mode of fracture of sand particles was investigated using high-resolution three-dimensional (3D) SMT images. The results of diffraction data analyses revealed that the major principal component of the lattice strain or stress tensor increased in most of the particles as the global applied compressive load increased until the onset of fracture. Particle fracture and subsequent rearrangements caused significant variation and fluctuations in measured lattice stress-strain values from one particle to another and from one load stage to the next load stage. SMT image analysis at the particle scale showed that cracks in fractured sand particles generally initiated and propagated along the plane that connects the two contact points. Fractured particles initially split into two or three major fragments, which in some cases was followed by disintegration into multiple smaller fragments. Microscale analysis of fractured particles showed that particle position, morphology, and the number and location of contact points played a major role in the occurrence of particle fracture in confined comminution of the sand assembly.
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Acknowledgments
This material is based on work supported by the National Science Foundation under Grant CMMI-1362510. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The SMT and 3DXRD images were collected using Beamline 1-ID at Argonne Photon Source (APS), Argonne National Laboratory. Use of the Advanced Photon Source, an Office of Science User Facility operated for the U.S. Department of Energy (DOE) Office of Science by Argonne National Laboratory, was supported by the U.S. DOE under Contract DE-AC02-06CH11357. The authors thank Karen Lee and Zachary Panczer for help in digitizing some of the SMT images. The orientation distribution function (ODF)/pole figure (PF) package for MATLAB developed at Cornell University was used for this work (Cornell University 2017).
References
Alshibli, K., Cil, M. B., Kenesei, P., and Lienert, U. (2013). “Strain tensor determination of compressed individual silica sand particles using high-energy synchrotron diffraction.” Granular Matter, 15(5), 517–530.
Andò, E., Hall, S., Viggiani, G., Desrues, J., and Bésuelle, P. (2012). “Grain-scale experimental investigation of localised deformation in sand: A discrete particle tracking approach.” Acta Geotech., 7(1), 1–13.
Andrade, J. E., and Borja, R. I. (2006). “Capturing strain localization in dense sands with random density.” Int. J. Numer. Methods Eng., 67(11), 1531–1564.
Avizo Fire [Computer software]. FEI Company, Hillsboro, OR.
Cil, M. B., Alshibli, K., Kenesei, P., and Lienert, U. (2014). “Combined high-energy synchrotron X-ray diffraction and computed tomography to characterize constitutive behavior of silica sand.” Nucl. Instrum. Methods Phys. Res. Sect. B: Beam Interact. Mater. Atoms, 324, 11–16.
Cil, M. B., and Alshibli, K. A. (2014). “3D evolution of sand fracture under 1D compression.” Geotechnique, 64(5), 351–364.
Cornell University. (2017). “Welcome to the polycrystal simulation software site at Cornell University.” ⟨http://anisotropy.mae.cornell.edu⟩ (Apr. 25, 2017).
DIGIgrain [Computer software]. Pertech, Chaska, MN.
Druckrey, A. M., and Alshibli, K. A. (2014). “3D behavior of sand particles using X-ray synchrotron micro-tomography.” Geo-Congress 2014 Technical Papers, ASCE, Reston, VA, 2814–2821.
Druckrey, A. M., and Alshibli, K. A. (2016). “3D finite element modeling of sand particle fracture based on in situ X-ray synchrotron imaging.” Int. J. Numer. Anal. Methods Geomech., 40(1), 105–116.
Fonseca, J., O’Sullivan, C., Coop, M. R., and Lee, P. D. (2012). “Non-invasive characterization of particle morphology of natural sands.” Soils Found., 52(4), 712–722.
GrainSpotter [Computer software]. GitHub, San Francisco.
Hall, S., and Wright, J. (2014). “Characterisation of 3D force transmission in real granular media.” 16th Int. Conf. on Experimental Mechanics, Cambridge, U.K.
Hall, S., Wright, J., Pirling, T., Andò, E., Hughes, D., and Viggiani, G. (2011). “Can intergranular force transmission be identified in sand?” Granular Matter, 13(3), 251–254.
Hall, S. A., et al. (2010). “Discrete and continuum analysis of localised deformation in sand using X-ray mu CT and volumetric digital image correlation.” Geotechnique, 60(5), 315–322.
Hall, S. A., and Wright, J. (2015). “Three-dimensional experimental granular mechanics.” Geotech. Lett., 5(4), 236–242.
Hasan, A., and Alshibli, K. (2012). “Three dimensional fabric evolution of sheared sand.” Granular Matter, 14(4), 469–482.
HEXRD [Computer software]. GitHub, San Francisco.
Heyliger, P., Ledbetter, H., and Kim, S. (2003). “Elastic constants of natural quartz.” J. Acoust. Soc. Am., 114(2), 644–650.
ImageD11 [Computer software]. SourceForge, Fairfax, VA.
Lee, J. H., et al. (2008). “Synchrotron applications of an amorphous silicon flat-panel detector.” J. Synchrotron Radiat., 15(5), 477–488.
Lenoir, N., Bornert, M., Desrues, J., Bésuelle, P., and Viggiani, G. (2007). “Volumetric digital image correlation applied to X-ray microtomography images from triaxial compression tests on argillaceous rock.” Strain, 43(3), 193–205.
Ludwig, W., et al. (2009). “Three-dimensional grain mapping by X-ray diffraction contrast tomography and the use of Friedel pairs in diffraction data analysis.” Rev. Sci. Instrum., 80(3), 033905–033909.
Manzari, M. T., and Dafalias, Y. F. (1997). “A critical state two-surface plasticity model for sands.” Geotechnique, 47(2), 255–272.
Margulies, L., Lorentzen, T., Poulsen, H. F., and Leffers, T. (2002). “Strain tensor development in a single grain in the bulk of a polycrystal under loading.” Acta Mater., 50(7), 1771–1779.
MATLAB [Computer software]. MathWorks, Natick, MA.
Moscicki, M., et al. (2009). “Friedel-pair based indexing method for characterization of single grains with hard X-rays.” Mater. Sci. Eng. Struct., 524(1–2), 64–68.
Penumadu, D., Dutta, A. K., Luo, X., and Thomas, K. G. (2009). “Nano and neutron science applications for geomechanics.” KSCE J. Civil Eng., 13(4), 233–242.
Peters, J. F., Muthuswamy, M., Wibowo, J., and Tordesillas, A. (2005). “Characterization of force chains in granular material.” Phys. Rev. E, 72(4), 041307.
Poulsen, H. F. (2004). Three-dimensional X-ray diffraction microscopy: Mapping polycrystals and their dynamics, Springer, Berlin.
Viggiani, G., Andò, E., Takano, D., and Santamarina, J. (2014). “Laboratory X-ray tomography: A valuable experimental tool for revealing processes in soils.” Geotech. Test. J., 38(1), 61–71.
Wensrich, C. M., et al. (2014). “Force chains in monodisperse spherical particle assemblies: Three-dimensional measurements using neutrons.” Phys. Rev. E, 90(4), 042203.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 143 • Issue 9 • September 2017
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©2017 American Society of Civil Engineers.
History
Received: Apr 19, 2016
Accepted: Mar 2, 2017
Published online: May 27, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 27, 2017
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