High apparent adhesion energy in the breakdown of normal restitution for binary impacts of small spheres at low speed

Mechanics Research Communications

Volumn 36, Issue 3, 2009, Pages 364-368

  Sorace, C M ^a   Louge, M Y ^a   Crozier, M D ^a   Law, V H C ^a  

^a Cornell University   (United States)

Author keywords

Adhesion; Impact; Restitution

Indexed keywords

SURFACE CHEMISTRY; SURFACE TENSION;

ADHESION ENERGIES; HEAD-ON COLLISIONS; IMPACT; KINEMATIC COEFFICIENTS; LOW SPEED; RESTITUTION; SMALL SPHERES; SURFACE ENERGIES;

ADHESION;

EID: 62649108513     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2008.10.009     Document Type: Article

References (47)

1. Alcantar N.A., Park C., Pan J.-M., and Israelachvili J.N. Adhesion and coalescence of ductile metal surfaces and nanoparticles. Acta Mater. 51 (2003) 31-47
2. Attard P. Interaction and deformation of viscoelastic particles. 2. Adhesive particles. Langmuir 17 (2001) 4322-4328
3. Brenner S.S., Wriedt H.A., and Oriani R.A. Impact adhesion of iron at elevated temperatures. Wear 68 (1981) 169-190
4. Brewster R., Grest G.S., Landry J.W., and Levine A.J. Plug flow and the breakdown of Bagnold scaling in cohesive granular flows. Phys. Rev. E 72 (2005) 061301
5. Brilliantov N.V., Albers N., Spahn F., and Pöschel T. Collision dynamics of granular particles with adhesion. Phys. Rev. E 76 (2007) 051302
6. Chaudhury M.K., and Owen M.J. Correlation between adhesion hysteresis and phase state of monolayer films. J. Phys. Chem. 97 (1993) 5722-5726
7. Chaudhury M.K., Weaver T., Hui C.-Y., and Kramer E.J. Adhesive contact of cylindrical lens and a flat sheet. J. Appl. Phys. 80 (1996) 30-37
8. Chaudhury M.K., and Whitesides G.M. Direct measurement of interfacial interactions between semispherical lenses and flat sheets of poly(dimethylsiloxane) and their chemical derivatives. Langmuir 7 (1991) 1013-1025
9. Chaudhury M.K., and Whitesides G.M. Correlation between surface free energy and surface constitution. Science 255 (1992) 1230-1232
10. Cook R.F. Crack propagation thresholds: a measure of surface energy. J. Mater. Res. 1 (1986) 852-860
11. Derjaguin B., Muller V., and Toporov Y.P. Effect of contact deformations on the adhesion of particles. J. Colloid Interf. Sci. 53 (1975) 314-326
12. Falcon E., Laroche C., Fauve S., and Coste C. Behavior of one inelastic ball bouncing repeatedly off the ground. Eur. Phys. J. B 3 (1998) 45-57
13. Greenwood J.A. Adhesion of elastic spheres. Proc. R. Soc. Lond. A 453 (1997) 1277-1297
14. Haiat G., Huy M.P., and Barthel E. The adhesive contact of viscoelastic spheres. J. Mech. Phys. Solids 51 (2003) 69-99
15. Hatzes A.P., Bridges F.G., and Lin D.N.C. Collisional properties of ice spheres at low impact velocities. Mon. Not. R. Astron. Soc. 231 (1988) 1091-1115
16. Israelachvili J.N. Intermolecular and Surface Forces (1992), Academic Press, London
17. Jenkins J.T., and Richman M.W. Grad's 13-moment system for a dense gas of inelastic spheres. Arch. Rat. Mech. Anal. 87 (1985) 355-377
18. Johnson K., Kendall K., and Roberts A. Surface energy and the contact of elastic solids. Proc. Roy. Soc. Lond. A 324 (1971) 301-313
19. Labous L., Rosato A.D., and Dave R.N. Measurements of collisional properties of spheres using high-speed video analysis. Phys. Rev. E 56 (1997) 5717-5725
20. Lee L.-H. Fundamentals of Adhesion (1991), Plenum Press, New York
21. Lifshitz J.M., and Kolsky H. Some experiments on anelastic rebound. J. Mech. Phys. Solids 12 (1964) 35-43
22. Lorenz A., Tuozzolo C., and Louge M.Y. Measurements of impact properties of small, nearly spherical particles. Exp. Mech. 37 (1997) 292-298
23. Louge M., Jenkins J., Reeves A., and Keast S. Microgravity segregation in collisional granular shearing flows. In: Rosato A., and Blackmore D. (Eds). Proceedings of the IUTAM Symposium on Segregation in Granular Material (2000), Kluver Academic Publishers, Boston, MA 103-112
24. Lun C.K.K., Savage S.B., Jeffrey D.J., and Chepurniy N. Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flowfield. J. Fluid Mech. 140 (1984) 223-256
25. Maugis D. Adhesion of spheres: the JKR-DMT transition using a Dugdale model. J. Colloid Interf. Sci. 150 (1992) 243-269
26. McNamara S., and Falcon E. Simulations of dense granular gases without gravity with impact-velocity-dependent restitution coefficient. Powder Technol. 182 (2008) 232-240
27. Mesarovic S.D., and Johnson K. Adhesive contact of elastic-plastic spheres. J. Mech. Phys. Solids 48 (2000) 2009-2033
28. Montanero J.M., Garzó V., Santos A., and Brey J.J. Kinetic theory of simple granular shear flows of smooth hard spheres. J. Fluid Mech. 389 (1999) 391-411
29. Quinn D.D. Finite duration impacts with external forces. ASME J. Appl. Mech. 72 (2005) 778-784
30. Ramírez R., Pöschel T., Brilliantov N.V., and Schwager T. Coefficient of restitution of colliding viscoelastic spheres. Phys. Rev. E 60 (1999) 4465-4472
31. Rogers L.N., and Reed J. The adhesion of particles undergoing an elastic-plastic impact with a surface. J. Phys. D: Appl. Phys. 17 (1984) 677-689
32. Rognon P.G., Roux J.-N., Naaïm M., and Chevoir F. Dense flows of cohesive granular materials. J. Fluid Mech. 596 (2008) 21-47
33. Sela N., and Goldhirsch I. Hydrodynamic equations for rapid flows of smooth inelastic spheres, to Burnett order. J. Fluid Mech. 361 (1998) 41-74
34. Siegel D.J., Hector L.G.J., and Adams J.B. Ab initio study of Al-ceramic interfacial adhesion. Phys. Rev. B 67 (2003) 092105/1-4
35. Smith C., and Liu P.-P. Coefficients of restitution. ASME J. Appl. Mech. 59 (1992) 963-969
36. Stevens A., and Hrenya C. Comparison of soft-sphere models to measurements of collision properties during normal impacts. Powder Technol. 154 (2005) 99-109
37. Stronge W.J. Impact Mechanics (2000), Cambridge University Press, New York
38. Supulver K.D., Bridges F.G., and Lin D.N.C. The coefficient of restitution of ice particles in glancing collisions: experimental results for unfrosted surfaces. Icarus 113 (1995) 188-199
39. Tattersall H.G., and Tappin G. The work of fracture and its measurement in metals, ceramics and other materials. J. Mater. Sci. 1 (1966) 296-301
40. Tewary V.K., and Fuller E.R. A relation between the surface energy and the Debye temperature for cubic solids. J. Mater. Res. 5 (1990) 1118-1122
41. Thornton C., and Ning Z. A theoretical model for the stick/bounce behaviour of adhesive elastic-plastic spheres. Powder Technol. 99 (1998) 154-162
42. Turner M.C., and Woodcock L.V. Scaling laws for rapid granular flow. Powder Technol. 60 (1990) 47-60
43. Veistinen M.K., and Lindroos V.K. Evaluation of the effective surface energy of ferrite in a 26Cr-1Mo ferritic stainless steel. Scripta Metall. 18 (1984) 185-188
44. Vu-Quoc L., Zhang X., and Lesburg L. A normal force-displacement model for contacting spheres accounting for plastic deformation: force-driven formulation. ASME J. Appl. Mech. 67 (2000) 363-371
45. Weber M.W., Hoffman D.K., and Hrenya C.M. Discrete-particle simulations of cohesive granular flow using a square-well potential. Granular Mat. 6 (2004) 239-254
46. Weir G., and Tallon S. The coefficient of restitution for normal incident, low velocity particle impacts. Chem. Eng. Sci. 60 (2005) 3637-3647
47. g. Macromolecules 39 (2006) 2350-2363