Based on a simplified theoretical model for the normal contact interaction of two elastic-perfectly plastic spheres, an analytical solution is provided for the coefficient of restitution. The solution is expressed in terms of the ratio of impact velocity to yield velocity rather than in terms of material properties such as the yield stress which is difficult to reliably ascertain for many materials.

Issue Section:
Technical Papers
Topics:
Collisions (Physics), Materials properties, Yield stress
1.
Bitter
J. G. A.
,
1963
, “
A Study of Erosion Phenomena, Part I
,”
Wear
, Vol.
6
, pp.
5
–
21
.
2.
Davies
R. M.
,
1949
, “
The Determinations of Static and Dynamic Yield Stresses Using a Steel Ball
,”
Proc. Roy. Soc., London
, Vol.
A197
, pp.
416
–
432
.
3.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK, p. 363.
4.
Stronge, W., 1995, “Coupling of Friction and Internal Dissipation in Planar Collision of Compliant Bodies,” Proc. 2nd Int. Conf. on Contact Mechanics, Raous, Jean, and Moreau, eds., Plenum Press, pp. 417–426.
5.
Thornton, C., and Ning, Z., 1994, “Oblique Impact of Elasto-Plastic Spheres,” Proc. 1st Int. Particle Technology Forum, Vol. II, AIChE Publications, pp. 14–19.
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