Arching in confined dry granular materials

Europhysics Letters

Volumn 45, Issue 1, 1999, Pages 76-82

  Peralta Fabi, R ^a   Malaga C ^a   Rechtman, R ^a,b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b INSTITUTO DE ENERGÍAS RENOVABLES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032590167     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1999-00134-y     Document Type: Article

References (39)

1. JAEGER H. M., LIU C.-H. and NAGEL S. R., Phys. Rev. Lett., 62 (1989) 40; EVESQUE P., Phys. Rev. A., 43 (1991) 2720; MORALES-GAMBOA E., LOMNITZ-ADDLER J., ROMERO-ROCHIN V., CHICHARRO-SERRA R. and PERALTA-FABI R., Phys. Rev. E, 47 (1993) R2229; ROMERO-ROCHIN V., LOMNITZ-ADDLER J., MORALES-GAMBOA E. and PERALTA-FABI R., Phys. Rev. E, 51 (1995) 3968.
2. JAEGER H. M., LIU C.-H. and NAGEL S. R., Phys. Rev. Lett., 62 (1989) 40; EVESQUE P., Phys. Rev. A., 43 (1991) 2720; MORALES-GAMBOA E., LOMNITZ-ADDLER J., ROMERO-ROCHIN V., CHICHARRO-SERRA R. and PERALTA-FABI R., Phys. Rev. E, 47 (1993) R2229; ROMERO-ROCHIN V., LOMNITZ-ADDLER J., MORALES-GAMBOA E. and PERALTA-FABI R., Phys. Rev. E, 51 (1995) 3968.
3. JAEGER H. M., LIU C.-H. and NAGEL S. R., Phys. Rev. Lett., 62 (1989) 40; EVESQUE P., Phys. Rev. A., 43 (1991) 2720; MORALES-GAMBOA E., LOMNITZ-ADDLER J., ROMERO-ROCHIN V., CHICHARRO-SERRA R. and PERALTA-FABI R., Phys. Rev. E, 47 (1993) R2229; ROMERO-ROCHIN V., LOMNITZ-ADDLER J., MORALES-GAMBOA E. and PERALTA-FABI R., Phys. Rev. E, 51 (1995) 3968.
4. JAEGER H. M., LIU C.-H. and NAGEL S. R., Phys. Rev. Lett., 62 (1989) 40; EVESQUE P., Phys. Rev. A., 43 (1991) 2720; MORALES-GAMBOA E., LOMNITZ-ADDLER J., ROMERO-ROCHIN V., CHICHARRO-SERRA R. and PERALTA-FABI R., Phys. Rev. E, 47 (1993) R2229; ROMERO-ROCHIN V., LOMNITZ-ADDLER J., MORALES-GAMBOA E. and PERALTA-FABI R., Phys. Rev. E, 51 (1995) 3968.
5. ZIK O., LEVINE D., LIPSON S. G., SHTRIKMAN S. and STAVANS J., Phys. Rev. Lett., 73 (1994) 644; HILL K. M. and KAKALIOS J., Phys. Rev. E, 49 (1994) R3610; CLÉMENT E., RAJCHENBACH J. and DURAN J., Europhys. Lett., 30 (1995) 7; METCALFE G., SHINBROT T., MCCARTHY J. J. and OTTINO J., Nature, 374 (1995) 39.
6. ZIK O., LEVINE D., LIPSON S. G., SHTRIKMAN S. and STAVANS J., Phys. Rev. Lett., 73 (1994) 644; HILL K. M. and KAKALIOS J., Phys. Rev. E, 49 (1994) R3610; CLÉMENT E., RAJCHENBACH J. and DURAN J., Europhys. Lett., 30 (1995) 7; METCALFE G., SHINBROT T., MCCARTHY J. J. and OTTINO J., Nature, 374 (1995) 39.
7. ZIK O., LEVINE D., LIPSON S. G., SHTRIKMAN S. and STAVANS J., Phys. Rev. Lett., 73 (1994) 644; HILL K. M. and KAKALIOS J., Phys. Rev. E, 49 (1994) R3610; CLÉMENT E., RAJCHENBACH J. and DURAN J., Europhys. Lett., 30 (1995) 7; METCALFE G., SHINBROT T., MCCARTHY J. J. and OTTINO J., Nature, 374 (1995) 39.
8. ZIK O., LEVINE D., LIPSON S. G., SHTRIKMAN S. and STAVANS J., Phys. Rev. Lett., 73 (1994) 644; HILL K. M. and KAKALIOS J., Phys. Rev. E, 49 (1994) R3610; CLÉMENT E., RAJCHENBACH J. and DURAN J., Europhys. Lett., 30 (1995) 7; METCALFE G., SHINBROT T., MCCARTHY J. J. and OTTINO J., Nature, 374 (1995) 39.
9. PAK H. K. and BEHRINGER R. P., Phys. Rev. Lett., 71 (1993) 1832; MELO F., UMBANHOWAR P. and SWINNEY H. L., Phys. Rev. Lett., 72 (1994) 172.
10. PAK H. K. and BEHRINGER R. P., Phys. Rev. Lett., 71 (1993) 1832; MELO F., UMBANHOWAR P. and SWINNEY H. L., Phys. Rev. Lett., 72 (1994) 172.
11. LIU C. H., NAGEL S. R., SCHECTER D. A., COPPERSMITH S. N., MAJUMDAR S., NARAYAN O. and WITTEN T. A., Science, 269 (1995) 513.
12. RADJAI F.. JEAN M., MOREAU J.-J. and ROUX S., Phys. Rev. Lett., 77 (1996) 274.
13. See BEHRINGER R. P., Nonlinear Sci. Today, 3 (1993) 1 and cited references; MEHTA A. (Editor), The Physics of Granular Materials (Springer-Verlag, New York) 1994; SAVAGE S., in Theoretical and Applied Mechanics, edited by P. GERMAIN, M. PIAU and D. CAILLERIE (North-Holland, IUTAM) 1989.
14. See BEHRINGER R. P., Nonlinear Sci. Today, 3 (1993) 1 and cited references; MEHTA A. (Editor), The Physics of Granular Materials (Springer-Verlag, New York) 1994; SAVAGE S., in Theoretical and Applied Mechanics, edited by P. GERMAIN, M. PIAU and D. CAILLERIE (North-Holland, IUTAM) 1989.
15. See BEHRINGER R. P., Nonlinear Sci. Today, 3 (1993) 1 and cited references; MEHTA A. (Editor), The Physics of Granular Materials (Springer-Verlag, New York) 1994; SAVAGE S., in Theoretical and Applied Mechanics, edited by P. GERMAIN, M. PIAU and D. CAILLERIE (North-Holland, IUTAM) 1989.
16. NEDDERMAN R. M., Statics and Kinematics of Granular Materials (Cambridge University Press) 1992; SOKOLOVSKII V. V., Statics of Granular Materials (Pergamon, Oxford) 1965.
17. NEDDERMAN R. M., Statics and Kinematics of Granular Materials (Cambridge University Press) 1992; SOKOLOVSKII V. V., Statics of Granular Materials (Pergamon, Oxford) 1965.
18. HAFF P. K., J. Fluid Mech., 134 (1983) 401; see JACKSON R., in The Theory of Dispersed Multiphase Flow, edited by R. MEYER (Academic Press, New York) 1983.
19. HAFF P. K., J. Fluid Mech., 134 (1983) 401; see JACKSON R., in The Theory of Dispersed Multiphase Flow, edited by R. MEYER (Academic Press, New York) 1983.
20. See CAMPBELL C. S., Annu. Rev. Fluid Mech., 22 (1990) 57 and references cited therein; BREY J. J., MORENO F., DUFTY J. W., Phys. Rev. E., 54 (1996) 445; GOLDSHTEIN A. and SHAPIRO M., J. Fluid Mech., 282 (1995) 75.
21. See CAMPBELL C. S., Annu. Rev. Fluid Mech., 22 (1990) 57 and references cited therein; BREY J. J., MORENO F., DUFTY J. W., Phys. Rev. E., 54 (1996) 445; GOLDSHTEIN A. and SHAPIRO M., J. Fluid Mech., 282 (1995) 75.
22. See CAMPBELL C. S., Annu. Rev. Fluid Mech., 22 (1990) 57 and references cited therein; BREY J. J., MORENO F., DUFTY J. W., Phys. Rev. E., 54 (1996) 445; GOLDSHTEIN A. and SHAPIRO M., J. Fluid Mech., 282 (1995) 75.
23. EDWARDS S. F., in Proceedings of the Enrico Fermi Summer School of Physics, Lerici, 1989, edited by G. CHIAROTTI, F. FUMI and M. P. TOSI, Course CVI (North-Holland, Amsterdam) 1990, p. 837; EDWARDS S. F. and OAKESHOTT R. B. S., Physica D, 38 (1989) 88; MEHTA A. and EDWARDS S. F., Physica A, 157 (1989) 1091; MEHTA A. and EDWARDS S. F., Physica A, 168 (1990) 714; EDWARDS S. F. and MOUNFIELD C. C., Physica A, 226 (1996) 1.
24. EDWARDS S. F., in Proceedings of the Enrico Fermi Summer School of Physics, Lerici, 1989, edited by G. CHIAROTTI, F. FUMI and M. P. TOSI, Course CVI (North-Holland, Amsterdam) 1990, p. 837; EDWARDS S. F. and OAKESHOTT R. B. S., Physica D, 38 (1989) 88; MEHTA A. and EDWARDS S. F., Physica A, 157 (1989) 1091; MEHTA A. and EDWARDS S. F., Physica A, 168 (1990) 714; EDWARDS S. F. and MOUNFIELD C. C., Physica A, 226 (1996) 1.
25. EDWARDS S. F., in Proceedings of the Enrico Fermi Summer School of Physics, Lerici, 1989, edited by G. CHIAROTTI, F. FUMI and M. P. TOSI, Course CVI (North-Holland, Amsterdam) 1990, p. 837; EDWARDS S. F. and OAKESHOTT R. B. S., Physica D, 38 (1989) 88; MEHTA A. and EDWARDS S. F., Physica A, 157 (1989) 1091; MEHTA A. and EDWARDS S. F., Physica A, 168 (1990) 714; EDWARDS S. F. and MOUNFIELD C. C., Physica A, 226 (1996) 1.
26. EDWARDS S. F., in Proceedings of the Enrico Fermi Summer School of Physics, Lerici, 1989, edited by G. CHIAROTTI, F. FUMI and M. P. TOSI, Course CVI (North-Holland, Amsterdam) 1990, p. 837; EDWARDS S. F. and OAKESHOTT R. B. S., Physica D, 38 (1989) 88; MEHTA A. and EDWARDS S. F., Physica A, 157 (1989) 1091; MEHTA A. and EDWARDS S. F., Physica A, 168 (1990) 714; EDWARDS S. F. and MOUNFIELD C. C., Physica A, 226 (1996) 1.
27. EDWARDS S. F., in Proceedings of the Enrico Fermi Summer School of Physics, Lerici, 1989, edited by G. CHIAROTTI, F. FUMI and M. P. TOSI, Course CVI (North-Holland, Amsterdam) 1990, p. 837; EDWARDS S. F. and OAKESHOTT R. B. S., Physica D, 38 (1989) 88; MEHTA A. and EDWARDS S. F., Physica A, 157 (1989) 1091; MEHTA A. and EDWARDS S. F., Physica A, 168 (1990) 714; EDWARDS S. F. and MOUNFIELD C. C., Physica A, 226 (1996) 1.
28. JANSSEN H. A., Zeits. Vereins Deutsch Ing., 39 (1895) 1045; Lord RAYLEIGH Philos. Mag., S.6., 11 (61), (1906) 127.
29. JANSSEN H. A., Zeits. Vereins Deutsch Ing., 39 (1895) 1045; Lord RAYLEIGH Philos. Mag., S.6., 11 (61), (1906) 127.
30. HARR M. E., Mechanics of Particulate Media (McGraw-Hill) 1977.
31. SOCOLAR J. E. S., Phys. Rev. E, 57 (1998) 3204.
32. CLÉMENT E., SERERO Y., LANUZA J., RAJCHENBACH J. and DURAN J., Powders and Grains 97, edited by R. P. BEHRINGER and J. T. JENKINS (A. A. Balkema) 1997, p. 349.
33. BENDER C. M. and ORZAG S. A., Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill) 1978.
34. BOUCHAUD J.-P., CATES M. E. and CLAUDIN P., J. Phys. I, 5 (1995) 639; CLAUDIN P. and BOUCHAUD J.-P., Phys. Rev. Lett., 78 (1997) 231.
35. BOUCHAUD J.-P., CATES M. E. and CLAUDIN P., J. Phys. I, 5 (1995) 639; CLAUDIN P. and BOUCHAUD J.-P., Phys. Rev. Lett., 78 (1997) 231.
36. CANTELAUBE F. and GODDARD J. D., Powders and Grains 97, edited by R. P. BEHRINGER and J. T. JENKINS (A. A. Balkema) 1997, p. 231; MÁLAGA C., B. Sc. thesis, facultad de Ciencias, UNAM (1997).
37. CANTELAUBE F. and GODDARD J. D., Powders and Grains 97, edited by R. P. BEHRINGER and J. T. JENKINS (A. A. Balkema) 1997, p. 231; MÁLAGA C., B. Sc. thesis, facultad de Ciencias, UNAM (1997).
38. PERALTA-FABI R., MÁLAGA C. and RECHTMAN R., work in progress.
39. PERALTA-FABI R., MÁLAGA C. and RECHTMAN R., Powders and Grains 97, edited by R. P. BEHRINGER and J. T. JENKINS (A. A. Balkema) 1997.