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From Particles in Steady State Shear Bands via Micro-Macro to Macroscopic Rheology Laws

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Proceedings of the 7th International Conference on Discrete Element Methods (DEM 2016)

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Abstract

Particulate systems and granular matter are discrete systems made of many particles; they display interesting dynamic or static, fluid- or solid-like states, respectively, or both together. The challenge of bridging the gap between the particulate, microscopic picture towards their continuum description (via the so-called micro-macro transition) is one of today’s challenges of modern research. This short paper gives a brief overview of recent progress and some new insights about local granular flow rules for soft particles.

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References

  1. Luding, S.: The effect of friction on wide shear bands. Part. Sci. Technol. 26, 33–42 (2008)

    Article  ADS  Google Scholar 

  2. Luding, S., Alonso-Marroquin, F.: The critical-state yield stress (termination locus) of adhesive powders from a single experiment. Granular Matter 13, 109–119 (2011)

    Article  Google Scholar 

  3. Weinhart, T., Hartkamp, R., Thornton, A.R., Luding, S.: Coarse-grained local and objective continuum description of 3D granular flows down an inclined surface. Phys. Fluids 25, 070605 (2013)

    Article  ADS  Google Scholar 

  4. Hartkamp, R., Todd, B., Luding, S.: A constitutive framework for the non-Newtonian pressure tensor of a simple fluid under planar flows. J. Chem. Phys. 138, 244508 (2013)

    Article  ADS  Google Scholar 

  5. Singh, A., Saitoh, K., Magnanimo, V., Luding, S.: Role of gravity or confining pressure and contact stiffness in granular rheology. New J. Phys. 17, 043028 (2015)

    Article  ADS  Google Scholar 

  6. Singh, A., Magnanimo, V., Saitoh, K., Luding, S.: Effect of cohesion on shear banding in quasi-static granular material. Phys. Rev. E 90(2), 022202 (2014)

    Article  ADS  Google Scholar 

  7. Roy, S., Singh, A., Luding, S., Weinhart, T.: Micro-macro transition and simplified contact models for wet granular materials. Comp. Part. Mech. 1–14(2015). doi:10.1007/s40571-015-0061-8

  8. Roy, S., Luding, S., Weinhart, T.: Towards hydrodynamic simulations of wet particle systems. Procedia Eng. 102, 1531–1538 (2015). (ISSN 1877-7058)

    Article  Google Scholar 

  9. Göncü, F., Luding, S.: Effect of particle friction and polydispersity on the macro-scopic stress-strain relations of granular materials. Acta Geotechnol 8, 629–643 (2013)

    Article  Google Scholar 

  10. Kumar, N., Luding, S., Magnanimo, V.: Macroscopic model with anisotropy based on micro-macro informations. Acta Mech. 225(8), 2319–2343 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  11. Goldhirsch, I.: Stress, stress asymmetry and couple stress: from discrete particles to continuous fields. Granular Matter 12, 239–252 (2010)

    Article  MATH  Google Scholar 

  12. Weinhart, T., Thornton, A.R., Luding, S., Bokhove, O.: From discrete particles to continuum fields near a boundary. Granular Matter 14, 289–294 (2012)

    Article  Google Scholar 

  13. Midi, G.D.R.: On dense granular flows. E. Phys. J. E 14, 367–371 (2004)

    Article  Google Scholar 

  14. Ries, A., Wolf, D.E., Unger, T.: Shear zones in granular media: three-dimensional contact dynamics simulations. Phys. Rev. E 76, 051301 (2007)

    Article  ADS  Google Scholar 

  15. Nguyen, V.B., Darnige, T., Bruand, A., Clement, E.: Creep and fluidity of a real granular packing near jamming. Phys. Rev. Lett. 107, 138303 (2011)

    Article  ADS  Google Scholar 

  16. Kamrin, K., Koval, G.: Nonlocal constitutive relation for steady granular flow. Phys. Rev. Lett. 108, 178301 (2012)

    Article  ADS  Google Scholar 

  17. Henann, D.L., Kamrin, K.: A predictive, size-dependent continuum model for dense granular flows. Proc. Natl. Acad. Sci. USA 110, 6730–6735 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Pons, A., Darnige, T., Crassous, J., Clement, E., Amon, A.: Spatial repartition of local plastic processes in different creep regimes in a granular material (2016). arXiv:1601.05671v1

  19. Koval, G., Roux, J.-N., Corfdir, A., Chevoir, F.: Annular shear of cohesionless granular materials: from the inertial to quasistatic regime. Phys. Rev. E 79, 021306 (2009)

    Article  ADS  Google Scholar 

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Luding, S., Singh, A., Roy, S., Vescovi, D., Weinhart, T., Magnanimo, V. (2017). From Particles in Steady State Shear Bands via Micro-Macro to Macroscopic Rheology Laws. In: Li, X., Feng, Y., Mustoe, G. (eds) Proceedings of the 7th International Conference on Discrete Element Methods. DEM 2016. Springer Proceedings in Physics, vol 188. Springer, Singapore. https://doi.org/10.1007/978-981-10-1926-5_2

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  • DOI: https://doi.org/10.1007/978-981-10-1926-5_2

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  • Print ISBN: 978-981-10-1925-8

  • Online ISBN: 978-981-10-1926-5

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