Wam. Morgado et I. Oppenheim, ENERGY-DISSIPATION FOR QUASI-ELASTIC GRANULAR PARTICLE COLLISIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1940-1945
From a first principles theory for the behavior of smooth granular sys
tems, we derive the form for the instantaneous dissipative force actin
g between two grains. The present model, which is based on the classic
al harmonic crystal, reproduces the dependence of the kinetic energy d
issipation on the grain deformation obtained by models that assume a v
iscoelastic behavior (without permanent plastic deformations) during t
he collision.