A theoretical model of collision between soft-spheres with Hertz elastic loading and nonlinear plastic unloading

Theoretical and Applied Mechanics Letters

Volumn 1, Issue 4, 2011, Pages 041006-

  Zhou, Youhe ^a,b  

^a BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

collision duration; normal collision of soft spheres; residual displacement; restitution coefficient; theoretical model

Indexed keywords

EID: 84868591325     PISSN: None     EISSN: 20950349     Source Type: Journal    
DOI: 10.1063/2.1104106     Document Type: Article

References (26)

1. Cundall, P.A., Strack, O.D.L., Geotech., 29, 1979, 47 10.1680/geot.1979.29.1.47.
2. Anderson, R.S., Haff, P.K., Acta Mech. Suppl., 1, 1991, 21.
3. Haff, P.K., Anderson, R.S., Sedimentology, 40, 1993, 175 10.1111/j.1365-3091.1993.tb01760.x.
4. Lec, J., Herrmann, H.J., J. Phys. A: Math. Gen., 26, 1993, 373 10.1088/0305-4470/26/2/021.
5. Haff, P.K., Discrete Mechanics, Granular Matter, 1994, Springer-Verlag, Berlin.
6. Warr, S., Jacques, G.T.H., Huntley, J.M., Powder Technology, 81, 1994, 41 10.1016/0032-5910(94)02863-X.
7. Campbell, C.S., Simulation, Powder Technology Handbook, 2nd, 1997, Marcel Dekker, New York.
8. Zheng, X.J., Wang, Z.T., Qiu, Z.G., The European Physical Journal E, 13, 2004, 321 10.1140/epje/i2004-10002-8.
9. Jankowsky, R., Earthquake Engineering and Structural Dynamics, 34, 2005, 595 10.1002/eqe.434.
10. Zhou, Y.H., Li, W.Q., Zheng, X.J., J. Geophys. Res., 111, 2006, D15108 10.1029/2005JD006604.
11. Goldsmith, W., Results of Impact Experiments. Impact: the Theory and Physical Behavior of Colliding Solids, 1960, E. Arnold, London.
12. Walton, O.R., Braun, R.L., Journal of Rheology, 30, 1986, 949 10.1122/1.549893.
13. Kuwabara, G., Kono, K., Japan Journal of Applied Physics, 26, 1987, 1230 10.1143/JJAP.26.1230.
14. Gallas, J.A.C., Herrmann, H.J., Sokoloowski, S., Physical Review Letters, 69, 1992, 1371 10.1103/PhysRevLett.69.1371.
15. Foerster, S.F., Louge, M.Y., Chang, H., Allia, K., Physical Fluid, 6, 1994, 1108 10.1063/1.868282.
16. Labous, L., Rosato, A.D., Dave, R.N., Physical Review E, 56, 1997, 5717 10.1103/PhysRevE.56.5717.
17. Luding, S., Physical Review E, 52, 1995, 4441 10.1103/PhysRevE.52.4442.
18. Thornton, C., ASME Journal of Applied Mechanics, 64, 1997, 383 10.1115/1.2787319.
19. Duran, J., Sands, Powders, and Grains, 2000, Springer, New York.
20. Stevens, A.B., Hrenya, C.M., Powder Technology, 154, 2005, 99 10.1016/j.powtec.2005.04.033.
21. Schäfer, J., Dippel, S., Wolf, D.E., Journal of Physique I, 6, 1996, 5 10.1051/jp1:1996129.
22. McNamara, S., Falcon, E., Physical Review E, 71, 2005, 031302 10.1103/PhysRevE.71.031302.
23. Lifshitz, J.M., Kolsky, H., J. Mech. Phys. Solids, 12, 1964, 35 10.1016/0022-5096(64)90005-5.
24. Brilliantov, N., Spahn, F., Hertzsch, J.M., Pöschel, T., Physical Review E, 53, 1996, 5382 10.1103/PhysRevE.53.5382.
25. Schwager, T., Pöschel, T., Physical Review E, 57, 1998, 650 10.1103/PhysRevE.57.650.
26. Gerl, F., Zippelius, A., Physical Review E, 59, 1999, 2361 10.1103/PhysRevE.59.2361.