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The coefficient of normal restitution in an oblique impact is theoretically studied. Using a two-dimensional lattice models for an elastic disk and an elastic wall, we demonstrate that the coefficient of normal restitution can exceed one…

Statistical Mechanics · Physics 2009-11-10 Hiroto Kuninaka , Hisao Hayakawa

We have reviewed recent developments of the theory of the impact for macroscopic elastic materials. This review includes (i) standard theories for the normal impact and the oblique impact, (ii) some typical approaches to simulate impact…

Statistical Mechanics · Physics 2007-05-23 Hisao Hayakawa , Hiroto Kuninaka

Impact phenomena of nanoclusters subject to thermal fluctuations are numerically investigated. From the molecular dynamics simulation for colliding two identical clusters, it is found that the restitution coefficient for head-on collisions…

Statistical Mechanics · Physics 2009-11-13 Hiroto Kuninaka , Hisao Hayakawa

We numerically investigate the mechanism of super rebounds for head-on collisions between nanoclusters in which the restitution coefficient is larger than unity. It is confirmed that the temperature and the entropy of the nanocluters…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Hiroto Kuninaka , Hisao Hayakawa

The coefficient of restitution of colliding viscoelastic spheres is analytically known as a complete series expansion in terms of the impact velocity where all (infinitely many) coefficients are known. While beeing analytically exact, this…

Materials Science · Physics 2015-05-27 Patric Mueller , Thorsten Poeschel

The linear dashpot model for the inelastic normal force between colliding spheres leads to a constant coefficient of normal restitution, $\epsilon_n=$const., which makes this model very popular for the investigation of dilute and moderately…

Materials Science · Physics 2009-11-13 Volker Becker , Thomas Schwager , Thorsten Poeschel

An analytical expression of the coefficient of restitution for viscoelastic materials is derived for the viscous-dominant case, such as collisions of polymeric melt. The recently proposed normal impact force model between two colliding…

Soft Condensed Matter · Physics 2015-06-17 Sangrak Kim

The coefficient of normal restitution (COR) in an oblique impact is theoretically studied. Using a two-dimensional lattice models for an elastic disk and an elastic wall, we investigate the dependency of COR on an incident angle and…

Statistical Mechanics · Physics 2009-11-10 Hiroto Kuninaka , Hisao Hayakawa

This work is devoted to molecular dynamics modeling of collision of nanoparticle having a small number of degrees of freedom with a structureless plain. The new regularities are established that determine properties of such particles.…

Mesoscale and Nanoscale Physics · Physics 2013-12-19 M. A. Ratner , A. V. Tur , V. V. Yanovsky

Impact processes of nanoclusters subject to thermal fluctuations are investigated, theoretically. In the former half of the paper, we discuss the basis of quasi-static theory. In the latter part, we carry out the molecular dynamics…

Statistical Mechanics · Physics 2009-09-29 Hisao Hayakawa , Hiroto Kuninaka

The coefficient of normal restitution of colliding viscoelastic spheres is computed as a function of the material properties and the impact velocity. From simple arguments it becomes clear that in a collision of purely repulsively…

Materials Science · Physics 2009-11-13 Thomas Schwager , Thorsten Poeschel

The impact of nanoparticles (NPs) comprised of atoms with covalent bonding is investigated numerically and theoretically. We use recent models of covalent bonding of carbon atoms and elaborate a numerical model of amorphous carbon (a-C)…

Mesoscale and Nanoscale Physics · Physics 2022-02-01 Alexey A. Tsukanov , Nikolai V. Brilliantov

The oblique collision between an elastic disk and an elastic wall is numerically studied. We investigate the dependency of the tangential coefficient of restitution on the incident angle of impact. From the results of simulation, our model…

Materials Science · Physics 2016-08-31 Hiroto Kuninaka , Hisao Hayakawa

The dissipative collision of two identical viscoelastic disks is studied. By using a known law for the elastic part of the interaction force and the viscoelastic damping model an analytical solution for the coefficient of restitution shall…

Soft Condensed Matter · Physics 2009-11-13 Thomas Schwager

We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles…

Materials Science · Physics 2009-11-07 Nikolai V. Brilliantov , Thorsten Poeschel

Motivated by the study of reversal behaviour of myxobacteria, in this article we are interested in a kinetic model for reversal dynamics, in which particles with directions close to be opposite undergo binary collision resulting in…

Analysis of PDEs · Mathematics 2023-05-22 Amic Frouvelle , Laura Kanzler , Christian Schmeiser

The surface impact and collisions of particle-laden nanodrops are studied using molecular dynamics computer simulations. The drops are composed of Lennard- Jones dimers and the particles are rigid spherical sections of a cubic lattice, with…

Soft Condensed Matter · Physics 2015-09-02 Joel Koplik

We conduct molecular dynamics simulations of the collision of atomic clusters with a weakly-attractive surface. We focus on an intermediate regime, between soft-landing and fragmentation, where the cluster undergoes deformation on impact…

Other Condensed Matter · Physics 2007-09-29 A. Awasthi , S. C. Hendy , P. Zoontjens , S. A. Brown , F. Natali

We perform a dimension analysis for colliding viscoelastic spheres to show that the coefficient of normal restitution $\epsilon$ depends on the impact velocity g as \epsilon=1-\gamma_1g^{1/5}+\gamma_2g^{2/5}\mp..., in accordance with recent…

Statistical Mechanics · Physics 2009-10-31 Rosa Ramirez , Thorsten Poeschel , Nikolai V. Brilliantov , Thomas Schwager

We propose a model for collisions between particles of a granular material and calculate the restitution coefficients for the normal and tangential motion as functions of the impact velocity from considerations of dissipative viscoelastic…

Materials Science · Physics 2009-11-07 Nikolai V. Brilliantov , Frank Spahn , Jan-Martin Hertzsch , Thorsten Poeschel
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