Model for dissipative highly nonlinear waves in dry granular systems

Physical Review Letters

Volumn 104, Issue 11, 2010, Pages

  Vergara, Lautaro ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

DISSIPATIVE EFFECTS; DRY GRANULAR MEDIA; DRY GRANULAR SYSTEMS; GRANULAR SYSTEM; HIGHLY NONLINEAR; QUANTITATIVE AGREEMENT; RELATIVE VELOCITY; THREE-TERM;

WAVES;

GRANULAR MATERIALS;

EID: 77949553181     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.104.118001     Document Type: Article

References (24)

1. H. Hertz, J. Reine Angew. Math. 92, 156 (1881). JRMAA8 1435-5345
2. H.M. Jaeger and S.R. Nagel, Science 255, 1523 (1992); SCIEAS 0036-8075 10.1126/science.255.5051.1523
3. Physics of Dry Granular Media, edited by, H.J. Herrmann, J.-P. Hovi, and, S. Luding, NATO Advanced Studies Institutes Series (Kluwer, Dordrecht, 1998);
4. The Physics of Granular Media, edited by, H. Hinrichsen, and, D. Wolf, (Wiley-VCH, Berlin, 2004);
5. in Proceedings of the International Conference on Powders and Grains 2005, edited by, R. García-Rojo, H.J. Herrmann, and, S. McNamara, (Taylor and Francis, London, 2005).
6. V.F. Nesterenko, Dynamics of Heterogeneous Materials (Springer, New York, 2001);
7. S. Sen, M. Manciu, and J.D. Wright, Phys. Rev. E PLEEE8 1063-651X 57, 2386 (1998); 10.1103/PhysRevE.57.2386
8. E.J. Hinch and S. Saint-Jean, Proc. R. Soc. A 455, 3201 (1999); PRLAAZ 0080-4630 10.1098/rspa.1999.0447
9. Hascoet and H.J. Herrmann, Eur. Phys. J. B 14, 183 (2000); EPJBFY 1434-6028 10.1007/s100510050119
10. M. Manciu, S. Sen, and A.J. Hurd, Physica (Amsterdam) 157D, 226 (2001); PDNPDT 0167-2789 10.1016/S0167-2789(01)00302-5
11. S. Sen, Phys. Rep. 462, 21 (2008), and references therein. PRPLCM 0370-1573 10.1016/j.physrep.2007.10.007
12. C. Coste, E. Falcon, and S. Fauve, Phys. Rev. E PLEEE8 1063-651X 56, 6104 (1997). 10.1103/PhysRevE.56.6104
13. K.L. Johnson, Contact Mechanics (Cambridge University Press, London, 1992).
14. W. Goldsmith, Impact (Edward Arnold Publ., London, 1960);
15. R. Sondergaard, K. Chaney, and C.E. Brennen, J. Appl. Mech. 57, 694 (1990). JAMCAV 0021-8936 10.1115/1.2897079
16. G. Kuwabara and K. Kono, Jpn. J. Appl. Phys. JAPNDE 0021-4922 26, 1230 (1987). 10.1143/JJAP.26.1230
17. N.V. Brilliantov, F. Spahn, J.-M. Hertzsch, and T. Pöschel, Phys. Rev. E PLEEE8 1063-651X 53, 5382 (1996). 10.1103/PhysRevE.53.5382
18. C. Zener, Phys. Rev. 59, 669 (1941). PHRVAO 0031-899X 10.1103/PhysRev.59.669
19. W.A.M. Morgado and I. Oppenheim, Phys. Rev. E PLEEE8 1063-651X 55, 1940 (1997). 10.1103/PhysRevE.55.1940
20. R. Ramirez, T. Pöschel, N.V. Brilliantov, and T. Schwager, Phys. Rev. E PLEEE8 1063-651X 60, 4465 (1999). 10.1103/PhysRevE.60.4465
21. R. Carretero-González, D. Khatri, M.A. Porter, P.G. Kevrekidis, and C. Daraio, Phys. Rev. Lett. 102, 024102 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.024102
22. C. Daraio, V.F. Nesterenko, E.B. Herbold, and S. Jin, Phys. Rev. E PLEEE8 1539-3755 73, 026610 (2006). 10.1103/PhysRevE.73.026610
23. C. Daraio, V.F. Nesterenko, E.B. Herbold, and S. Jin, Phys. Rev. E PLEEE8 1539-3755 72, 016603 (2005). 10.1103/PhysRevE.72.016603
24. T. Pöschl, Z. Phys. ZEPYAA 0044-3328 46, 142 (1927). 10.1007/BF02055765