Collision of Adhesive Viscoelastic Particles

Details Collision of Adhesive Viscoelastic Particles Collision of Adhesive Viscoelastic Particles

2005-06-10

arxiv.org/abs/cond-mat/0506253v1

In: H. Hinrichsen and D. Wolf (eds.), The Physics of Granular Media, Wiley-VCH (Berlin, 2004), p. 189-209

Physics

Condensed Matter

Statistical Mechanics

21 pages, 2 figures

Scientific paper

The collision of convex bodies is considered for small impact velocity, when plastic deformation and fragmentation may be disregarded. In this regime the contact is governed by forces according to viscoelastic deformation and by adhesion. The viscoelastic interaction is described by a modified Hertz law, while for the adhesive interactions, the model by Johnson, Kendall and Roberts (JKR) is adopted. We solve the general contact problem of convex viscoelastic bodies in quasi-static approximation, which implies that the impact velocity is much smaller than the speed of sound in the material and that the viscosity relaxation time is much smaller than the duration of a collision. We estimate the threshold impact velocity which discriminates restitutive and sticking collisions. If the impact velocity is not large as compared with the threshold velocity, adhesive interaction becomes important, thus limiting the validity of the pure viscoelastic collision model.

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