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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

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 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 oblique impacts of nanoclusters is studied by means of Molecular Dynamics and theoretically. In simulations we explore two models -- Lennard-Jones clusters and particles with covalently bonded atoms. In contrast to the case of…

Atomic and Molecular Clusters · Physics 2026-03-26 Kuniyasu Saitoh , Anna Bodrova , Hisao Hayakawa , Nikolai V. Brilliantov

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 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

With the eventual aim of describing flowing elasto-plastic materials, we focus on the elementary brick of such a flow, a plastic event, and compute the long-range perturbation it elastically induces in a medium submitted to a global shear…

Soft Condensed Matter · Physics 2009-11-10 Guillemette Picard , Armand Ajdari , Francois Lequeux , Lyderic Bocquet

In recent years, a number of experimental studies have been conducted to investigate the mechanical behavior and damage mechanisms of articular cartilage under impact loading. Some experimentally observed results have been explained using a…

Classical Analysis and ODEs · Mathematics 2012-06-14 Ivan Argatov

The modern theory of elasticity and the first law of thermodynamics are cornerstones of engineering science that share the concept of reversibility. Engineering researchers have known for four decades that the modern theory violates the…

Soft Condensed Matter · Physics 2019-11-21 Christopher M. Szalwinski

The aim of this short review is to summarize the developing theory aimed at describing the effect of plastic events in amorphous solids on its emergent mechanics. Experiments and simulations present anomalous mechanical response of…

Statistical Mechanics · Physics 2023-11-02 Avanish Kumar , Itamar Procaccia

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 influence of compressibility on the coefficient of restitution in the normal impact of a rigid sphere onto a linear-viscoelastic compressible standard solid under quasi-static conditions is studied using a numerical solution procedure…

Soft Condensed Matter · Physics 2018-06-19 Emanuel Willert , Jean-Emmanuel Leroy , Maciej Satora , Yannic Scholtyssek

A fundamental assumption in our understanding of material rheology is that when microscopic deformations are reversible, the material responds elastically to external loads. Plasticity, i.e. dissipative and irreversible macroscopic changes…

Soft Condensed Matter · Physics 2009-11-13 M. Lundberg , K. Krishan , N. Xu , C. S. O'Hern , M. Dennin

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which…

Materials Science · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

The three-dimensional elastic-plastic deformation is considered. The catastrophe theory underlies the construction of this process model. It was shown that the variety of stable states consists on elastic states and can be depicted as a…

Materials Science · Physics 2007-05-23 L. N. Maurin , I. S. Tikhomirova

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

Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

Soft Condensed Matter · Physics 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

A new type of elasticity of random (multifractal) structures is suggested. A closed system of constitutive equations is obtained on the basis of two proposed phenomenological laws of reversible deformations of multifractal structures. The…

Materials Science · Physics 2007-05-23 Alexander S. Balankin
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