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Monitoring three-dimensional packings in microgravity

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Abstract

We present results from experiments with granular packings in three dimensions in microgravity as realized on parabolic flights. Two different techniques are employed to monitor the inside of the packings during compaction: (1) X-ray radiography is used to measure in transmission the integrated fluctuations of particle positions. (2) Stress-birefringence in three dimensions is applied to visualize the stresses inside the packing. The particle motions below the transition into an arrested packing are found to produce a well agitated state. At the transition, the particles lose their energy quite rapidly and form a stress network. With both methods, non-arrested particles (rattlers) can be identified. In particular, it is found that rattlers inside the arrested packing can be excited to appreciable dynamics by the rest-accelerations (g-jitter) during a parabolic flight without destroying the packings. At low rates of compaction, a regime of slow granular cooling is identified. The slow cooling extends over several seconds, is described well by a linear law, and terminates in a rapid final collapse of dynamics before complete arrest of the packing.

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References

  1. Falcon, E., Wunenburger, R., Evesque, R., Fauve, R., Chabot, C., Garrabos, Y., Beysens, D.: Cluster formation in a granular medium fluidized by vibrations in low gravity. Phys. Rev. Lett. 83, 440 (1999)

    Article  ADS  Google Scholar 

  2. Harth, K., Kornek, U., Trittel, T., Strachauer, U., Höme, S., Will, K., Stannarius, R.: Granular gases of rod-shaped grains in microgravity. Phys. Rev. Lett. 110, 144102 (2013)

    Article  ADS  Google Scholar 

  3. Sack, A., Heckel, M., Kollmer, J.E., Zimber, F., Pöschel, T.: 3. Energy dissipation in driven granular matter in the absence of gravity. Phys. Rev. Lett. 111, 018001 (2013)

    Article  ADS  Google Scholar 

  4. Murdoch, N., Rozitis, B., Nordstrom, K., Green, S.F., Michel, P., de Lophem, T.-L., Losert, W.: Granular convection in microgravity. Phys. Rev. Lett. 110, 018307 (2013a)

    Article  ADS  Google Scholar 

  5. Murdoch, N., Rozitis, B., Green, S.F., de Lophem, T.-L., Michel, P., Losert, W.: Granul. Matter 15, 129 (2013b)

    Article  Google Scholar 

  6. Khosropour, R., Zirinsky, J., Pak, J., Behringer, R.P.: Convection and size segregation in a Couette flow of granular material. Phys. Rev. E 56, 4467 (1997)

    Article  ADS  Google Scholar 

  7. Baxter, G.W., Behringer, R.P., Fagert, T., Johnson, G.A.: Pattern formation in flowing sand. Phys. Rev. Lett. 62, 2815 (1989)

    Article  ADS  Google Scholar 

  8. Grohse, E.W.: Analysis of gas-fluidized solid systems by x-ray absorption. AIChE J. 1(3), 358–365

  9. Rowe, P.N., Everett, D.J.: Fluidized bed bubbles viewed by X-rays. Part 2. Transition from two- to three-dimensions of undisturbed bubbles. Trans. I. Chem. E 50, 42–48 (1972)

    Google Scholar 

  10. Yates, J., Cheesman, D., Lettieri, P., Newton, D.: X-ray analysis of fluidized beds and other multiphase systems. KONA 20, 133–143 (2002)

    Article  Google Scholar 

  11. Aste, T.: Volume fluctuations and geometrical constraints in granular packs. Phys. Rev. Lett. 96, 018002 (2006)

    Article  ADS  Google Scholar 

  12. Jerkins, M., Schröter, M., Swinney, H.L., Senden, T.J., Saadatfar, M., Aste, T.: Onset of mechanical stability in random packings of frictional spheres. Phys. Rev. Lett. 101, 018301 (2008)

    Article  ADS  Google Scholar 

  13. Son, R., Perez, J.A., Voth, G.A.: Experimental measurements of the collapse of a two-dimensional granular gas under gravity. Phys. Rev. E. 78, 041302 (2008)

    Article  ADS  Google Scholar 

  14. Kuske, A., Robertson, G.: Photoelastic Stress Analysis. Wiley, London (1974)

  15. Liu, C., Nagel, S.R., Schecter, D.A., Coppersmith, S.N., Majumdar, S., Narayan, O., Witten, T.A.: Force fluctuations in bead packs. Science 269, 513–515 (1995)

    Article  ADS  Google Scholar 

  16. Wood, D.M., Leśniewska, D.: Stresses in granular materials. Granul. Matter 13, 395–415 (2011)

    Article  Google Scholar 

  17. Howell, D., Behringer, R.P., Veje, C.: Stress fluctuations in a 2D granular Couette experiment: a continuous transition. Phys. Rev. Lett. 82, 5241 (1999)

    Article  ADS  Google Scholar 

  18. Geng, J., Howell, D., Longhi, E., Behringer, R.P., Reydellet, G., Vanel, L., Clément, E., Luding, S.: Footprints in sand: the response of a granular material to local perturbations. Phys. Rev. Lett. 87, 035506 (2001)

    Article  ADS  Google Scholar 

  19. Hartley, R.R., Behringer, R.P.: Logarithmic rate dependence of force networks in sheared granular materials. Nature 421, 928–931 (2003)

    Article  ADS  Google Scholar 

  20. Yu, P., Behringer, R.P.: Granular friction: a slider experiment. Chaos 15, 041102 (2005)

    Article  ADS  Google Scholar 

  21. Owens, E.T., Daniels, K.E.: Sound propagation and force chains in granular materials. Euro. Lett. 94, 54005 (2011)

    Article  ADS  Google Scholar 

  22. Majmudar, T.S., Sperl, M., Luding, S., Behringer, R.P.: Jamming transition in granular systems. Phys. Rev. Lett. 98, 058001 (2007)

    Article  ADS  Google Scholar 

  23. Behringer, R.P., Daniels, K.E., Majmudar, T.S., Sperl, M.: Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system. Philos. Trans. R. Soc. A 366, 493–504 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. Zhang, J., Behringer, R. P., Majmudar, T. S., Sperl, M.: Powders Grains 1145 (2009)

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

    Article  ADS  Google Scholar 

  26. Utter, B., Behringer, R.P.: Experimental measures of affine and nonaffine deformation in granular shear. Phys. Rev. Lett. 100, 208302 (2008)

    Article  ADS  Google Scholar 

  27. Zhang, J., Majmudar, T.S., Sperl, M., Behringer, R.P.: Jamming for a 2D granular material. Soft Matter 6, 2982–2991 (2010)

    Article  ADS  Google Scholar 

  28. Bi, D., Zhang, J., Chakraborty, B., Behringer, R.P.: Jamming by shear. Nature 480, 355–358 (2011)

    Article  ADS  Google Scholar 

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Acknowledgments

We acknowledge financial support by DFG FG1394 and BMWi 50WM0741 as well as technical assistance by D. Bräuer, F. Kargl, S. Klein, and T. Kornwebel. PY and MS want to thank especially warmly their advisor and tutor Bob Behringer for fruitful guidance over many years.

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Correspondence to Matthias Sperl.

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Yu, P., Frank-Richter, S., Börngen, A. et al. Monitoring three-dimensional packings in microgravity. Granular Matter 16, 165–173 (2014). https://doi.org/10.1007/s10035-013-0479-8

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  • DOI: https://doi.org/10.1007/s10035-013-0479-8

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