Rolling friction of a viscous sphere on a hard plane
TLDR
To the knowledge this is the first "first-principle" expression of the rolling friction coefficient which does not contain empirical parameters.Abstract:
A first-principle continuum-mechanics expression for the rolling friction coefficient is obtained for the rolling motion of a viscoelastic sphere on a hard plane. It relates the friction coefficient to the viscous and elastic constants of the sphere material. The relation obtained refers to the case when the deformation of the sphere ξ is small, the velocity of the sphere V is much less than the speed of sound in the material and when the characteristic time ξ/V is much larger than the dissipative relaxation times of the viscoelastic material. To our knowledge this is the first "first-principle" expression of the rolling friction coefficient which does not contain empirical parameters.read more
Citations
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Discrete particle simulation of particulate systems: Theoretical developments
TL;DR: This paper reviews the work in this area with special reference to the discrete element method and associated theoretical developments, and covers three important aspects: models for the calculation of the particle–particle and particle–fluid interaction forces, coupling of discrete elements method with computational fluid dynamics to describe particle-fluid flow, and the theories for linking discrete to continuum modelling.
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Assessment of rolling resistance models in discrete element simulations
TL;DR: A review of the commonly used models for rolling resistance and a more general model is presented in this article, where the robustness of these models in reproducing rolling resistance effects arising from different physical situations was assessed by using several benchmarking test cases.
Journal ArticleDOI
Rolling friction in the dynamic simulation of sandpile formation
TL;DR: In this article, a rolling friction model is proposed to avoid arbitrary treatments or unnecessary assumptions, and its validity is confirmed by the good agreement between the simulated and experimental results under comparable conditions, which suggest that the angle of repose increases significantly with the rolling friction coefficient and decreases with particle size.
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Computer simulation of the packing of fine particles
Runyu Yang,Ruiping Zou,Aibing Yu +2 more
TL;DR: It is shown that porosity increases with the decreases of particle size from about 100 to 1 &mgr;m and the simulated relationship can match the literature data well and in line with the increase in porosity, the first component of the split second peak and then the other peaks beyond the second one in the radial distribution function gradually vanish.
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An experimental and numerical study of the angle of repose of coarse spheres
TL;DR: In this paper, the authors presented a numerical and experimental study of the angle of repose of mono-sized coarse spheres, a most important macroscopic parameter in characterising granular materials.
References
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Book
Theory of elasticity
TL;DR: The equilibrium of rods and plates Elastic waves Dislocations Thermal conduction and viscosity in solids Mechanics of liquid crystals Index as discussed by the authors The equilibrium of rod and plate elastic waves Elastic waves
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