A viscoplastic coefficient of restitution (COR) that accounts for nonfrictional sources of energy dissipation is determined for direct collision between hard compliant bodies. This COR incorporates effects of both irreversible elastic-plastic material (rate-independent) and viscoelastic (rate-dependent) behaviors. The COR is calculated based on a modified Maxwell model for compliance of the bodies in the small deforming region around the initial contact point. Modifications to the Maxwell model incorporate the effects of plasticity and viscoelasticity, so the calculated COR gives a value that considers both hysteresis due to the plastic deformation and viscoelastic (rate-dependent) sources of energy dissipation during collision.

1.
Stronge
,
W. J.
, 1990, “
Rigid Body Collisions With Friction
,”
Proc. R. Soc. London, Ser. A
0950-1207,
431
, pp.
169
181
.
2.
Coaplen
,
J.
,
Stronge
,
W. J.
, and
Ravani
,
B.
, 2004, “
Work Equivalent Composite Coefficient of Restitution
,”
Int. J. Impact Eng.
,
30
, pp.
581
591
. 0734-743X
3.
Butcher
,
E. A.
, and
Segalman
,
D. J.
, 2000, “
Characterizing Damping and Restitution in Compliant Impacts Via Modified K-V and Higher-Order Linear Viscoelastic Models
,”
ASME J. Appl. Mech.
0021-8936,
67
(
4
), pp.
831
834
.
4.
Hunt
,
K. H.
, and
Crossley
,
F. R. E.
, 1975, “
Coefficient of Restitution Interpreted as Damping in Vibroimpact
,”
ASME J. Appl. Mech.
,
42
, pp.
440
445
. 0021-8936
5.
Atanackovic
,
T. M.
, and
Spasic
,
D. T.
, 2004, “
On Viscoelastic Compliant Contact-Impact Models
,”
ASME J. Appl. Mech.
0021-8936,
71
(
1
), pp.
134
138
.
6.
Stronge
,
W. J.
, 2000,
Impact Mechanics
,
Cambridge University Press
,
Cambridge
, Chap. 5.
You do not currently have access to this content.