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Micromechanics of Granular Media Characterised Using X-Ray Tomography and 3DXRD

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Micro to MACRO Mathematical Modelling in Soil Mechanics

Part of the book series: Trends in Mathematics ((TM))

Abstract

Recently, 3D X-Ray Diffraction (3DXRD) has been proposed as a new tool for experimental granular mechanics. The technique enables measurements of tensor strains of all the individual grain in granular assemblies under load. From the grain-strains, granular stresses can be determined and, in combination with structural information from x-ray tomography, contact forces can be inferred, thereby elucidating force transfer networks in 3D. This paper provides a brief review of the approach and highlights its potential to provide new data on granular mechanics.

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References

  1. Aste, T., Saadatfar, M., Senden, T.: Geometrical structure of disordered sphere packings. Phys. Rev. E 71, 061302 (2005)

    Article  Google Scholar 

  2. Saadatfar, M., Sheppard, A.P., Senden, T.J., Kabla, A.J.: Mapping forces in a 3D elastic assembly of grains. J. Mech. Phys. Solids 60, 55–66 (2012)

    Article  Google Scholar 

  3. Hall, S.A., Bornert, M., Desrues, J., Pannier, Y., Lenoir, N., Viggiani, G., Bésuelle, P.: Discrete and continuum experimental study of localised deformation in Hostun sand under triaxial compression using X-ray μCT and 3D digital image correlation. Géotechnique 60, 315–322 (2010)

    Article  Google Scholar 

  4. Andò, E., Hall, S.A., Viggiani, G., Desrues, J., Bsuelle, P.: Experimental micromechanics: grain-scale observation of sand Deformation. Géotech. Lett. 2, 107–112 (2012)

    Article  Google Scholar 

  5. Al-Raoush, R., Alshibli, K.A.: Distribution of local void ratio in porous media systems from 3D X-ray microtomography images. Phys. A: Stat. Mech. Appl. 361, 441–456 (2006)

    Article  Google Scholar 

  6. Hall, S.A., Lenoir, N., Viggiani, G., Bsuelle, P., Desrues, J.: Characterization of the evolving grain-scale structure in a sand deforming under triaxial compression. In: Alshibli, K.A., Reed, A.H. (eds.) Advances in Computed Tomography for Geomaterials: GeoX 2010, pp. 34–42. Wiley, Hoboken (2010)

    Google Scholar 

  7. Weis, S., Schrter, M.: Analyzing X-ray tomographies of granular packings. Rev. Sci. Instrum. 88, 051809 (2017)

    Article  Google Scholar 

  8. Majmudar, T.S., Behringer, R.P.: Contact force measurements and stress-induced anisotropyin granular materials. Nature 435, 1079–1082 (2005)

    Article  Google Scholar 

  9. Hurley, R., Marteau, E., Ravichandran, G., Andrade, J.E.: Extracting inter-particle forces in opaque granular materials: beyond photoelasticity. J. Mech. Phys. Solids 63, 154–166 (2014)

    Article  Google Scholar 

  10. Hall, S.A., Wright, J., Pirling, T., And, E., Hughes, D.J., Viggiani, G.: Can intergranular force transmission be identified in sand? Granul. Matter 13, 251–254 (2011)

    Article  Google Scholar 

  11. Alshibli, K., Cil, M.B., Kenesei, P., Lienert, U.: Strain tensor determination of compressed individual silica sand particles using high-energy synchrotron diffraction. Granul. Matter 15, 517–530 (2013)

    Article  Google Scholar 

  12. Cil, M.B., Alshibli, K., Kenesei, P., Lienert, U.: Combined high-energy synchrotron X-ray diffraction and computed tomography to characterize constitutive behavior of silica sand. Nucl. Instrum. Methods Phys. Res. B: Beam Interact. Mater. At. 324, 11–16 (2014)

    Article  Google Scholar 

  13. Hall, S.A., Wright, J.: Three-dimensional experimental granular mechanics. Géotech. Lett. 5, 236–242 (2015)

    Article  Google Scholar 

  14. Poulsen, H.F.: Three-Dimensional X-Ray Diffraction Microscopy: Mapping Polycrystals and Their Dynamics. Springer, Berlin (2008)

    Google Scholar 

  15. Hurley, R.C., Hall, S.A., Andrade, J.E., Wright, J.: Quantifying Interparticle forces and heterogeneity in 3D granular materials. Phys. Rev. Lett. 117, 098005 (2016)

    Article  Google Scholar 

  16. Wright, J.: ImageD11. athttps://pypi.python.org/pypi/ImageD11/1.7.0 (2005)

    Google Scholar 

  17. Hurley, R.C., Hall, S.A., Wright, J.: Multi-scale mechanics of granular solids from grain-resolved X-ray measurements. Proc. R. Soc. A 473, 20170491 (2017)

    Article  Google Scholar 

  18. Hurley, R.C., Lind, J., Pagan, D.C., Akina, M.C., Herbold, E.B.: In situ grain fracture mechanics during uniaxial compaction of granular solids. J. Mech. Phys. Solids 112, 273–290 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge the European Synchrotron Radiation Facility (ESRF) for synchrotron beamtime. R.C.H. acknowledges support from Lawrence Livermore National Laboratory’s Laboratory Directed Research and Development (LDRD) program under grant 17-LW-009. S.A.H. acknowledges financial support from Vetenskapsrdet, grant no. 729 2015-04398, and from a Marie Curie FP7 integration grant within the 7th European Union Framework Programme. Part of this work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under contract DE-AC52-07NA27344.

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Correspondence to Stephen A. Hall .

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Hall, S.A., Hurley, R.C., Wright, J. (2018). Micromechanics of Granular Media Characterised Using X-Ray Tomography and 3DXRD. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_17

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