Collisions of viscoelastic adhesive particles
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Thu, 12/05/2011 16:00 |
Nikolai Brilliantov (University of Leicester) |
Differential Equations and Applications Seminar  |
DH 1st floor SR |
| We develop a theory of impact of viscoelastic spheres with adhesive interactions. We assume that the collision velocities are not large to avoid the fracture and plastic deformation of particles material and microscopic relaxation time is much smaller than the collision duration. The adhesive interactions are described with the use of Johnson, Kendall and Roberts (JKR) theory, while dissipation is attributed to the viscoelastic behavior of the material. For small impact velocities we apply the condition of a quasi-static collision and obtain the inter-particle force. We show that this force is a sum of four components, having in addition to common elastic, viscous and adhesive force, the visco-adhesive cross term. Using the derived force we compute the coefficient of normal restitution and consider the application of our theory to the collisions of macro and nano-particles. | |||