Effect of particle size on energy dissipation in viscoelastic granular collisions

Antypov, Dmytro; Elliott, James A.; Hancock, Bruno C.

doi:10.1103/physreve.84.021303

Cited by 35 publications

(10 citation statements)

References 29 publications

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“…Note that these model parameters may also depend on the particle size. Actually, the effect of the particle size on the CoR has not been studied a lot despite the fact that its value may have a significant impact on DEM results [45,50]. In this work, a few additional experiments with different sized low carbon steel spheres were carried out, which revealed that the particle size does affect the value of μ but barely that of n l .…”

Section: Model Developmentmentioning

confidence: 84%

Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot

2013

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Section: Model Developmentmentioning

confidence: 84%

Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot

2013

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“…In the following DEM simulations, the simplified Hertz Mindlin contact model without microslip and with damping as described by Tsuji et al [17], and Antypov et al [1], will be used. In normal direction of the contact, the Hertz model is as follows:where is the equivalent Young modulus of the contact, is the equivalent contact radius and is the overlap in normal direction.…”

Section: Stress-dependent Friction Coefficientmentioning

confidence: 99%

“…In the proposed model each contact is treated individually. After the computation of normal and tangential force for each contact, the damping is applied as described by Tsuji et al [17], and Antypov and Elliott [1]. …”

Section: Stress-dependent Friction Coefficientmentioning

confidence: 99%

Friction phenomena and their impact on the shear behaviour of granular material

Suhr

Six

2016

Comp. Part. Mech.

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In the discrete element simulation of granular materials, the modelling of contacts is crucial for the prediction of the macroscopic material behaviour. From the tribological point of view, friction at contacts needs to be modelled carefully, as it depends on several factors, e.g. contact normal load or temperature to name only two. In discrete element method (DEM) simulations the usage of Coulomb’s law of friction is state of the art in modelling particle–particle contacts. Usually in Coulomb’s law, for all contacts only one constant coefficient of friction is used, which needs to reflect all tribological effects. Thus, whenever one of the influence factors of friction varies over a wide range, it can be expected that the usage of only one constant coefficient of friction in Coulomb’s law is an oversimplification of reality. For certain materials, e.g. steel, it is known that a dependency of the coefficient of friction on the contact normal load exists. A more tribological tangential contact law is implemented in DEM, where the interparticle friction coefficient depends on the averaged normal stress in the contact. Simulations of direct shear tests are conducted, using steel spheres of different size distributions. The strong influence of interparticle friction on the bulk friction is shown via a variation of the constant interparticle friction coefficient. Simulations with constant and stress-dependent interparticle friction are compared. For the stress-dependent interparticle friction, a normal stress dependency of the bulk friction is seen. In the literature, measurements of different granular materials and small normal loads also show a stress dependency of the bulk friction coefficient. With increasing applied normal stress, the bulk friction coefficient reduces both in the experiments and in the simulations.

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“…The term "effective mass" already have been used by Stronge (2000), Dintwa, (2006), Bordbar, Hyppänen (2007), Antypov, Elliott, Hancock (2011), and by many others authors. Also the mass m was called like the reduced mass by Landau (1944), Brilliantov (1996.…”

Section: Remarkmentioning

confidence: 99%

Solutions of the Problems of a Viscoelastic Dynamic Contact between Smooth Curvilinear Surfaces of two Solid Bodies by the Application of the “Method of the Specific Forces”

Goloshchapov¹

2015

MER

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Solutions of the problems of a viscoelastic dynamic contact between smooth curvilinear surfaces of two solid bodies by the application of the "Method of the specific forces" have been given in the article, and the new conception for the definition of the elastic and the viscous forces in the common case of dynamics of a viscoelastic contact is proposed here by the further development of this method. Essence of this method is that, the forces of viscosity and the forces of elasticity can be found by integration of the specific forces acting inside an elementary volume of the contact zone. It is shown here, that this method allows finding the viscoelastic forces for any theoretical or experimental dependencies between the distance of mutual approach of two solid bodies and the diameter of the contact area. Also, the derivation of the integral equations of the viscoelastic forces, the equations for pressure in the contact is presented. Viscoelastic dynamic contacts between two spherical bodies, and between a spherical solid body and a semi-space at impact have been examined. Work and Energy in the phases of compression and restitution, and at the rolling shear have been derived. Approximate solutions for the differential equations of movement (displacement) by using the method of equivalent work have been derived. Equations for the normal contact stresses have been obtained. Also, equations for kinematic and dynamic parameters of the viscoelastic collision have been derived in this article. Examples of the comparison of theoretical results and conclusions have been given in the paper.

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Effect of particle size on energy dissipation in viscoelastic granular collisions

Cited by 35 publications

References 29 publications

Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot

Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot

Friction phenomena and their impact on the shear behaviour of granular material

Solutions of the Problems of a Viscoelastic Dynamic Contact between Smooth Curvilinear Surfaces of two Solid Bodies by the Application of the “Method of the Specific Forces”

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