# The coefficient of restitution for the idealized impact of a spherical, nano-scale particle on a rigid plane

@article{Weir2008TheCO, title={The coefficient of restitution for the idealized impact of a spherical, nano-scale particle on a rigid plane}, author={Graham John Weir and Peter Norman McGavin}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2008}, volume={464}, pages={1295 - 1307} }

The theory of low velocity impact between nano-sized, spherical particles and a rigid plane is developed by assuming fully plastic failure during approach and assuming the Johnson–Kandall–Roberts model of elasticity and adhesion applied during particle recoil. This model predicts initial particle acceleration on approach, followed by either deceleration and eventually instantaneous cessation of particle motion or extreme deformation and possible structural failure of the particle. If the…

## 22 Citations

Characteristic Length and Time Scales Associated with the Impact of an Elasto-plastic Particle with a Large Hard Plane Surface

- Engineering
- 2010

In this paper we analyze plastic collisions between spherical nano-scaled particles and a large hard plane. We assume for most of the paper that surface tension between the particle and plane…

The critical velocity for nanoparticle rebound measured in a low pressure impactor

- Engineering, Materials Science
- 2013

The elastic-plastic transition in nanoparticle collisions.

- Materials SciencePhysical chemistry chemical physics : PCCP
- 2016

This work investigates the minimum velocity, vc, necessary for generating defects and inducing plasticity in the NP and provides a model based on dislocation emission in the contact zone that quantitatively describes the size dependence of the elastic-plastic transition.

Bouncing window for colliding nanoparticles: Role of dislocation generation.

- PhysicsPhysical review. E
- 2019

The details of the bouncing threshold is studied using molecular dynamics simulation for crystalline nanoparticles where atoms interact via the Lennard-Jones potential and it is shown that the bouncing velocity strongly depends on the nanoparticle orientation during collision; for some orientations, nanoparticles stick at all velocities.

Energy Dissipation in Normal Elastoplastic Impact Between Two Spheres

- Engineering
- 2009

Elastoplastic deformation occurs widely in engineering impact. Although many empirical solutions of elastoplastic impact between two spheres have been obtained, the analytical solution, verified by…

Rapid Impact of Nanoparticles on Surfaces

- Materials ScienceParticles in Contact
- 2019

The collision of gas-borne particles with surfaces plays an important role in many processes of particle technology such as particle separation, dry dispersion of powders and particle measuring…

Collisions between particles in multiphase flows: Focus on contact mechanics and heat conduction

- Physics
- 2014

The critical velocity of rebound determined for sub-micron silver particles with a variable nozzle area impactor

- Materials Science
- 2015

FRAGMENTATION AND BOUNCE OF NANOSIZE AGGLOMERATES BY INERTIAL IMPACTION

- Materials Science
- 2014

In this thesis, the inertial impaction of nanosize agglomerates was investigated. The study focused on two processes that occur commonly simultaneously during the impaction of the agglomerate; bounce…

## References

SHOWING 1-10 OF 30 REFERENCES

Adhesion and friction between a smooth elastic spherical asperity and a plane surface

- Materials ScienceProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1997

Attempts to establish the relationship between adhesion and friction at the contact of solid surfaces has been frustrated by their inevitable roughness. The recent development of nanotribology, in…

Fracture mechanics and the adherence of viscoelastic bodies

- Engineering
- 1978

The strain energy release rate G and its derivative delta G/ delta A are used to provide a general picture of the adherence of viscoelastic bodies. Two bodies in contact on an area A are in…

An Adhesion Map for the Contact of Elastic Spheres

- Materials ScienceJournal of colloid and interface science
- 1997

A closed form solution to the problem based on a Dugdale force-separation law is outlined and used to construct the map, and errors introduced by the Dugdale approximation are assessed by comparison with numerical solutions using the Lennard-Jones force law.

A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres

- Engineering
- 1998

A study of the restitution coefficient in elastic-plastic impact

- Materials Science
- 2000

The aim of this work is to provide useful quantitative support for theories of the restitution coefficient for normal impacts involving plastic deformation, especially in the region close to the…

Energy dissipation during normal impact of elastic and elastic-plastic spheres

- Engineering, Materials Science
- 2005

A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat

- Engineering
- 2005

This work presents a finite element study of elasto-plastic hemispherical contact. The results are normalized such that they are valid for macro contacts (e.g., rolling element bearings) and micro…