Abstract
We investigate by means of Contact Dynamics simulations the transient dynamics of a 2D granular pile set into motion by applying shear velocity during a short time interval to all particles. The spreading dynamics is directly controlled by the input energy whereas in recent studies of column collapse the dynamics scales with the initial potential energy of the column. As in column collapse, we observe a power-law dependence of the runout distance with respect to the input energy with nontrivial exponents. This suggests that the power-law behavior is a generic feature of granular dynamics, and the values of the exponents reflect the distribution of kinetic energy inside the material. We observe two regimes with different values of the exponents: the low-energy regime reflects the destabilization of the pile by the impact with a runout time independent of the input energy whereas the high-energy regime is governed by the input energy. We show that the evolution of the pile in the high-energy regime can be described by a characteristic decay time and the available energy after the pile is destabilized.
Graphical abstract
Similar content being viewed by others
References
S.B. Savage, J. Fluid Mech. 92, 53 (1979).
C. Campbell, Ann. Rev. Fluid Mech. 22, 57 (1990).
GDR-MiDi, Eur. Phys. J. E 14, 341 (2004).
D.L. Henann, K. Kamrin, Proc. Natl. Acad. Sci. U.S.A. 110, 6730 (2013).
A. Daerr, S. Douady, Nature 399, 241 (1999).
M. Pailha, M. Nicolas, O. Pouliquen, Phys. Fluids 20, 111701 (2008).
M.J. Woodhouse, A.R. Thornton, C.G. Johnson, B.P. Kokelaar, J.M.N.T. Gray, J. Fluid Mech. 709, 543 (2012).
O. Hungr, S.G. Evans, M.J. Bovis, J.N. Hutchinson, Environ. Engin. Geosci. 7, 221 (2001).
D.G. Masson, C.B. Harbitz, R.B. Wynn, G. Pedersen, F. Lovholt, Philos. Trans. R. Soc. A 364, 2009 (2006).
K. Hewitt, Am. Sci. 98, 410 (2010).
D. Keeper, Geol. Soc. Am. Bull. 95, 406 (1984).
M.A. Hampton, H.J. Lee, J. Locat, Rev. Geophys. 34, 33 (1996).
K. Hutter, T. Koch, C. Pluss, S.B. Savage, Acta Mech. 109, 127 (1995).
V. Buchholtz, T. Pschel, J. Stat. Phys. 84, 1373 (1996).
R.M. Iverson, Rev. Geophys. 35, 245 (1997).
F. Legros, Engin. Geol. 63, 301 (2002).
G. Lube, H.E. Huppert, R.S.J. Sparks, M.A. Hallworth, J. Fluid Mech. 508, 175 (2004).
E. Lajeunesse, A. Mangeney-Castelnau, J.P. Vilotte, Phys. Fluids 16, 2371 (2004).
S. Siavoshi, A. Kudrolli, Phys. Rev. E 71, 051302 (2005).
N.J. Balmforth, R.R. Kerswell, J. Fluid Mech. 538, 399 (2005).
E. Lajeunesse, J.B. Monnier, G.M. Homsy, Phys. Fluids 17, 103302 (2005).
L.E. Silbert, J.W. Landry, G.S. Grest, Phys. Fluids 15, 1 (2003).
N. Jain, J.M. Ottino, R.M. Lueptow, J. Fluid Mech. 508, 23 (2004).
R. Zenit, Phys. Fluids 17, 031703 (2005).
L. Staron, E.J. Hinch, J. Fluid Mech. 545, 1 (2005).
L. Staron, Geophys. J. Int. 172, 455 (2008).
L. Staron, E. Lajeunesse, Geophys. Res. Lett. 36, L12402 (2009).
V. Topin, Y. Monerie, F. Perales, F. Radjai, Phys. Rev. Lett. 109, 188001 (2012).
P. Mutabaruka, J.-Y. Delenne, K. Soga, F. Radjai, Phys. Rev. E 89, 052203 (2014).
F. Radjai, S. Roux, Phys. Rev. Lett. 89, 064302 (2002).
J.J. Moreau, New computation methods in granular dynamics, in Powders & Grains 93 (A. A. Balkema, Rotterdam, 1993) p. 227.
M. Jean, Comput. Methods Appl. Mech. Engin. 177, 235 (1999).
F. Radjai, V. Richefeu, Mech. Mater. 41, 715 (2009).
F. Radjai, F. Dubois (Editors), Discrete-element Modeling of Granular Materials (Iste-Wiley, London, 2011).
N. Estrada, A. Taboada, F. Radjaï, Phys. Rev. E 78, 021301 (2008).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mutabaruka, P., Kumar, K., Soga, K. et al. Transient dynamics of a 2D granular pile. Eur. Phys. J. E 38, 47 (2015). https://doi.org/10.1140/epje/i2015-15047-x
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2015-15047-x