Sound propagation in isotropically and uni-axially compressed cohesive, frictional granular solids

Engineering Fracture Mechanics

Volumn 76, Issue 6, 2009, Pages 781-792

  Mouraille, O ^a,b   Herbst, O ^a,b   Luding, S ^a,b  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Elasto plastic deformation; Friction and adhesion; Granular materials; Particle simulation contact force laws; Sound propagation

Indexed keywords

ADHESION; CEMENTS; ELASTOPLASTICITY; FRICTION; GRANULAR MATERIALS; PACKING; PLASTIC DEFORMATION; TRIBOLOGY;

APPLIED STRAINS; CONTACT MODELS; CONTACT PROPERTIES; CRITICAL FLOWS; DEM SIMULATIONS; ELASTIC REGIMES; ELASTO PLASTICITIES; ELASTO-PLASTIC DEFORMATION; GRANULAR SOLIDS; PARTICLE SIMULATION CONTACT FORCE-LAWS; POWER-SPECTRA; PRIMARY PARTICLES; SOUND PROPAGATION; UNCONFINED CONDITIONS;

ACOUSTIC WAVE PROPAGATION;

EID: 62949201486     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2008.09.001     Document Type: Article

References (59)

1. Jaeger H.M., Liu C., and Nagel S.R. Relaxation at the angle of repose. Phys Rev Lett 62 1 (1989) 40-43
2. Jaeger H.M., Liu C., Nagel S.R., and Witten T.A. Friction in granular flows. Europhys Lett 11 7 (1990) 619-624
3. Jaeger H.M., and Nagel S.R. Physics of the granular state. Science 255 (1992) 1523
4. Behringer R.P. The dynamics of flowing sand. Nonlinear Sci Today 3 (1993) 1-15
5. Herrmann HJ, Hovi J-P, Luding S, editors. Physics of dry granular media. NATO ASI Series E, vol. 350. Dordrecht: Kluwer Academic Publishers; 1998.
6. Goldhirsch I., and Zanetti G. Clustering instability in dissipative gases. Phys Rev Lett 70 11 (1993) 1619-1622
7. Behringer R.P., and Baxter G.W. Pattern formation and complexity in granular flow. In: Mehta A. (Ed). Granular matter (1994), Springer-Verlag, New York 85
8. Luding S., Clément E., Blumen A., Rajchenbach J., and Duran J. Studies of columns of beads under external vibrations. Phys Rev E 49 2 (1994) 1634
9. Sela N., and Goldhirsch I. Hydrodynamic equations for rapid flows of smooth inelastic spheres to Burnett order. J Fluid Mech 361 (1998) 41-74
10. Herbst O., Huthmann M., and Zippelius A. Dynamics of inelastically colliding spheres with Coulomb friction: Relaxation of translational and rotational energy. Granular Mat 2 4 (2000) 211-219
11. Herbst O., Cafiero R., Zippelius A., Herrmann H.J., and Luding S. A driven two-dimensional granular gas with Coulomb friction. Phys Fluids 17 (2005) 107102
12. Santos A. Does the Chapmanenskog expansion for sheared granular gases converge?. Phys Rev Lett 100 (2008) 078003
13. Tomas J. Fundamentals of cohesive powder consolidation and flow. Granular Mat 6 2/3 (2004) 75-86
14. Castellanos A. The relationship between attractive interparticle forces and bulk behavior in dry and uncharged fine powders. Adv Phys 54 4 (2005) 263-376
15. Luding S. Shear flow modeling of cohesive and frictional fine powder. Powder Technol 158 (2005) 45-50
16. Luding S. Anisotropy in cohesive, frictional granular media. J Phys: Condens Mat 17 (2005) S2623-S2640
17. Richefeu V., Radjai F., and El Youssoufi M.S. Stress transmission in wet granular materials. Eur Phys J E 21 4 (2006) 359-369
18. Thornton C., and Yin K.K. Impact of elastic spheres with and without adhesion. Powder Technol 65 (1991) 153
19. Thornton C., Yin K.K., and Adams M.J. Numerical simulation of the impact fracture and fragmentation of agglomerates. J Phys D: Appl Phys 29 (1996) 424-435
20. Kafui K.D., and Thornton C. Numerical simulations of impact breakage of spherical crystalline agglomerate. Powder Technol 109 (2000) 113-132
21. Thornton C., and Antony S.J. Quasi-static deformation of a soft particle system. Powder Technol 109 1-3 (2000) 179-191
22. Luding S., Manetsberger K., and Muellers J. A discrete model for long time sintering. J Mech Phys Solids 53 2 (2005) 455-491
23. Luding S. About contact force-laws for cohesive frictional materials in 2d and 3d. In: Walzel P, Linz S, Krülle C, Grochowski R, editors. Behavior of granular media. Shaker Verlag; 2006. p. 137-47 [Band 9, Schriftenreihe Mechanische Verfahrenstechnik, ISBN 3-8322-5524-9].
24. Luding S. Contact models for very loose granular materials. In: Eberhard P, editor. Symposium on multiscale problems in multibody system contacts. IUTAM Bookseries, vol. 1. Dordrecht, The Netherlands: Springer; 2007. p. 135-50.
25. Luding S. Cohesive frictional powders: contact models for tension. Granular Mat 10 4 (2008) 235-246
26. Luding S, Suiker A. Self-healing of damaged particulate materials through sintering. Philos Mag 2008, in press.
27. Mouraille O., and Luding S. Sound propagation in dense, frictional granular materials. In: Garcia-Rojo R., Herrmann H.J., and McNamara S. (Eds). Powders and grains (2005), A.A. Balkema, Leiden 319
28. Mouraille O., Mulder W.A., and Luding S. Sound wave acceleration in granular materials. J Stat Mech (2006) P07023
29. Luding S. Granular media: information propagation. Nature 435 (2005) 159-160
30. Mouraille O, Luding S. Mechanic waves in sand: effect of polydispersity. In: Peukert W, editor. Partec 2007, CD proceeding; 2007.
31. Mouraille O, Luding S. Sound wave propagation in weakly polydisperse granular materials. Ultrasonics 2008, in press. doi:10.1016/j.ultras.2008.03.009.
32. Jia X. Codalike multiple scattering of elastic waves in dense granular media. Phys Rev Lett 93 15 (2004) 154303
33. Jia X., Caroli C., and Velicky B. Ultrasound propagation in externally stressed granular media. Phys Rev Lett 82 9 (1999) 1863
34. Hostler S.R., and Brennen C.E. Pressure wave propagation in a shaken granular bed. Phys Rev E 72 (2005) 031304
35. Cundall P.A., and Strack O.D.L. A discrete numerical model for granular assemblies. Géotechnique 29 1 (1979) 47-65
36. Bashir Y.M., and Goddard J.D. A novel simulation method for the quasi-static mechanics of granular assemblages. J Rheol 35 5 (1991) 849-885
37. Thornton C. Numerical simulations of deviatoric shear deformation of granular media. Géotechnique 50 1 (2000) 43-53
38. Thornton C., and Zhang L. A DEM comparison of different shear testing devices. In: Kishino Y. (Ed). Powders & grains 2001 (2001), Balkema, Rotterdam 183-190
39. In: Vermeer P.A., Diebels S., Ehlers W., Herrmann H.J., Luding S., and Ramm E. (Eds). Continuous and discontinuous modelling of cohesive frictional materials. Lecture notes in physics vol. 568 (2001), Springer, Berlin
40. Sadd M.H., Adhikari G., and Cardoso F. DEM simulation of wave propagation in granular materials. Powder Technol 109 1-3 (2000) 222-233
41. Liu C., and Nagel S.R. Sound in sand. Phys Rev Lett 68 15 (1992) 2301-2304
42. Chang C.S., Chao S.J., and Chang Y. Estimates of elastic moduli for granular material with anisotropic random packing structure. Int J Solids Struct 32 14 (1995) 1989-2009
43. Shlivinski A., and Langenberg K.J. Defect imaging with elastic waves in inhomogeneous-anisotropic materials with composite geometries. Ultrasonics 46 1 (2007) 89-104
44. Tai Q.M., and Sadd M.H. A discrete element study of the relationship of fabric to wave propagational behaviours in granular materials. Int J Numer Anal Meth Geomech 21 5 (1997) 295-311
45. Tournat V., Castagnede B., Gusev V., and Bequin P. Self-demodulation acoustic signatures for nonlinear propagation in glass beads. CR Mecaniques 331 2 (2003) 119-125
46. Nesterenko V.F. Dynamics of heterogeneous materials (2001), Springer Verlag, New York
47. Dejong N., Hoff L., Skotland T., and Bom N. Absorption and scatter of encapsulated gas filled microspheres - theoretical considerations and some measurements. Ultrasonics 30 2 (1992) 95-103
48. In: Vermeer P.A., Ehlers W., Herrmann H.J., and Ramm E. (Eds). Modelling of cohesive-frictional materials (2004), Balkema, Taylor & Francis, Leiden, Netherlands ISBN 04 1536 023 4
49. Agnolin I., Jenkins J.T., and Ragione L.L. A continuum theory for a random array of identical, elastic, frictional disks. Mech Mater 38 8-10 (2006) 687-701
50. Tournat V. Private communication; 2007.
51. Lätzel M., Luding S., Herrmann H.J., Howell D.W., and Behringer R.P. Comparing simulation and experiment of a 2d granular Couette shear device. Eur Phys J E 11 4 (2003) 325-333
52. Allen M.P., and Tildesley D.J. Computer simulation of liquids (1987), Oxford University Press, Oxford
53. Rapaport D.C. The art of molecular dynamics simulation (1995), Cambridge University Press, Cambridge
54. Pöschel T., and Schwager T. Computational granular dynamics (2005), Springer, Berlin
55. Luding S., Clément E., Blumen A., Rajchenbach J., and Duran J. Anomalous energy dissipation in molecular dynamics simulations of grains: the "detachment effect". Phys Rev E 50 (1994) 4113
56. David C.T., Rojo R.G., Herrmann H.J., and Luding S. Hysteresis and creep in powders and grains. In: Garcia-Rojo R., Herrmann H.J., and McNamara S. (Eds). Powders and grains 2005 (2005), Balkema, Leiden, Netherlands 291-294
57. Janssen H.A. Versuche über Getreidedruck in Silozellen. Zeitschr d Vereines deutscher Ingenieure 39 35 (1895) 1045-1049
58. Sperl M. Experiments on corn pressure in silo cells. Translation and comment of Janssen's paper from 1895. Granular Mat 8 2 (2006) 59-65
59. Schwedes J. Review on testers for measuring flow properties of bulk solids. Granular Mat 5 1 (2003) 1-45