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Related papers: Simulation for the oblique impact of a lattice sys…

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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

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

Numerical simulations of the dynamics of an elastic collision between a rigid sphere and an elastic half-space are carried out. We assume an Amontons-Coulomb frictional force with a fixed coefficient of friction between the contacting…

Soft Condensed Matter · Physics 2017-08-30 I. A. Lyashenko , E. Willert , V. L. Popov

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

The impact of a two-dimensional elastic disk with a wall is numerically studied. It is clarified that the coefficient of restitution (COR) decreases with the impact velocity. The result is not consistent with the recent quasi-static theory…

Statistical Mechanics · Physics 2016-08-31 Hisao Hayakawa , Hiroto Kuninaka

The impact of a two-dimensional elastic disk with a wall is numerically studied. It is clarified that the coefficient of restitution (COR) decreases with the impact velocity. The result is not consistent with the recent quasi-static theory…

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

The impact of a two-dimensional elastic disk with a wall is numerically studied. It is clarified that the coefficient of restitution (COR) decreases with the impact velocity. The result is not consistent with the recent quasi-static theory…

Statistical Mechanics · Physics 2009-10-31 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

The purpose of this paper is to study the impact force of an oblique angled slamming wave acting on a rigid wall. In the present study the analytical approach is pursued based on a technique proposed by the author. A nonlinear theory in the…

Fluid Dynamics · Physics 2023-08-04 Jian-Jun Shu

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

In this chapter we review results on the lattice Schwinger model. In par-ticular, we show how the effect of the anomaly is reproduced on the lattice. We connect these results to recent developments in the field of quantum simulation of…

Quantum Physics · Physics 2025-12-15 Joao C. Pinto Barros , Pierpaolo Fontana , Pasquale Sodano , Andrea Trombettoni

The paper deals with the studies of forced impacting oscillator when are taken into account the dry and viscous resistance, as well as the generalized Hertz contact law during an impact. The numerical treatments of mathematical model are…

Chaotic Dynamics · Physics 2019-05-01 Sergii Skurativskyi , Grzegorz Kudra , Grzegorz Wasilewski , Jan Awrejcewicz

We study the axisymmetric impact of a rigid sphere onto an elastic membrane theoretically and experimentally. We derive governing equations from first principles and impose natural kinematic and geometric constraints for the coupled motion…

Classical Physics · Physics 2023-01-19 Elvis A. Agüero , Luke Alventosa , Daniel M. Harris , Carlos A. Galeano-Rios

We investigate theoretically and numerically the impact of an elastic sphere on a rigid wall in a viscous fluid. Our focus is on the dynamics of the contact, employing the soft lubrication model in which the sphere is separated from the…

Soft Condensed Matter · Physics 2024-05-08 Vincent Bertin

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

We report numerical simulations of strongly vibrated granular materials designed to mimic recent experiments performed both in presence or absence of gravity. The coefficient of restitution used here depends on the impact velocity by taking…

Other Condensed Matter · Physics 2007-05-23 Sean Mcnamara , Eric Falcon

Despite the simple impact of a rigid particle being a centuries old problem, a conclusive treatment of the general case is still outstanding. The influences of particle shape as well as elastic and plastic deformation of the particle upon…

Soft Condensed Matter · Physics 2025-03-20 Dominik Krengel

We calculate the coefficient of restitution, $\epsilon$, starting from a microscopic model of elastic disks. The theory is shown to agree with the approach of Hertz in the quasistatic limit, but predicts inelastic collisions for finite…

Condensed Matter · Physics 2009-10-31 Franz Gerl , Annette Zippelius

Using a simple and generic molecular dynamics model, we study the damage in a disc of interacting particles as the disc fragments upon impact with a wall. The damage, defined as the ratio of the number of bonds broken by the impact to the…

Statistical Mechanics · Physics 2011-01-21 N. Sator , H. Hietala

We consider a mechanical system with impact and n degrees of freedom, written in generalized coordinates. The system is not necessarily Lagrangian. The representative point of the system must remain inside a set of constraints K; the…

Numerical Analysis · Mathematics 2025-10-20 Laetitia Paoli , Michelle Schatzman
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