Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

Collisional model of energy dissipation in three-dimensional granular impact

Cacey Stevens Bester* and Robert P. Behringer

  • Department of Physics, Duke University, Durham, North Carolina 27708, USA

  • *cacey.stevens@phy.duke.edu

Phys. Rev. E 95, 032906 – Published 22 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032906

Abstract

We study the dynamic process occurring when a granular assembly is displaced by a solid impactor. The momentum transfer from the impactor to the target is shown to occur through sporadic, normal collisions of high force carrying grains at the intruder surface. We therefore describe the stopping force of the impact through a collisional-based model. To verify the model in impact experiments, we determine the forces acting on an intruder decelerating through a dense granular medium by using high-speed imaging of its trajectory. By varying the intruder shape and granular target, intruder-grain interactions are inferred from the consequent path. As a result, we connect the drag to the effect of intruder shape and grain density based on a proposed collisional model.

Physics Subject Headings (PhySH)

Article Text

References (28)

  1. J. Poncelet, Cours de Mecanique Industrielle (Impr. de Clouet, Paris, 1829).
  2. J. S. Uehara, M. A. Ambroso, R. P. Ojha, and D. J. Durian, Phys. Rev. Lett. 90, 194301 (2003).
  3. K. A. Newhall and D. J. Durian, Phys. Rev. E 68, 060301 (2003).
  4. M. A. Ambroso, R. D. Kamien, and D. J. Durian, Phys. Rev. E 72, 041305 (2005).
  5. L. Tsimring and D. Volfson, Powders and Grains 2, 1215 (2005).
  6. A. Seguin, Y. Bertho, and P. Gondret, Phys. Rev. E 78, 010301 (2008).
  7. P. Umbanhowar and D. I. Goldman, Phys. Rev. E 82, 010301 (2010).
  8. J. O. Marston, I. U. Vakarelski, and S. T. Thoroddsen, Phys. Rev. E 86, 020301 (2012).
  9. H. Katsuragi and D. J. Durian, Nat. Phys. 3, 420 (2007).
  10. H. Katsuragi and D. J. Durian, Phys. Rev. E 87, 052208 (2013).
  11. K. N. Nordstrom, E. Lim, M. Harrington, and W. Losert, Phys. Rev. Lett. 112, 228002 (2014).
  12. T. A. Brzinski, P. Mayor, and D. J. Durian, Phys. Rev. Lett. 111, 168002 (2013).
  13. E. Altshuler et al., Geophys. Res. Lett. 41, 3032 (2014).
  14. M. Tiwari, T. R. K. Mohan, and S. Sen, Phys. Rev. E 90, 062202 (2014).
  15. C. Li, T. Zhang, and D. Goldman, Science 339, 1408 (2013).
  16. J. Aguilar and D. Goldman, Nat. Phys. 12, 278 (2016).
  17. K. Daniels, J. Coppock, and R. Behringer, Chaos 14, S4 (2004).
  18. C. Guttler, N. Hirata, and A. Nakamura, Icarus 220, 1040 (2012).
  19. D. Dowling and T. Dowling, Am. J. Phys. 81, 875 (2013).
  20. J. Ruiz-Suarez, Rep. Prog. Phys. 76, 066601 (2013).
  21. H. Katsuragi, Physics of Soft Impact and Cratering (Springer, Tokyo, 2016).
  22. A. H. Clark, L. Kondic, and R. P. Behringer, Phys. Rev. Lett. 109, 238302 (2012).
  23. Y. Takehara, S. Fujimoto, and K. Okumura, Europhys. Lett. 92, 44003 (2010).
  24. A. H. Clark, A. J. Petersen, and R. P. Behringer, Phys. Rev. E 89, 012201 (2014).
  25. E. L. Nelson, H. Katsuragi, P. Mayor, and D. J. Durian, Phys. Rev. Lett. 101, 068001 (2008).
  26. D. M. Meko, Filtering, Applied Time Series Analysis (University of Arizona Press, 2015), Chap. 8.
  27. D. I. Goldman and P. Umbanhowar, Phys. Rev. E 77, 021308 (2008).
  28. A. H. Clark and R. P. Behringer, Europhys. Lett. 101, 64001 (2013).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation