The coefficient of restitution for normal incident, low velocity particle impacts

Weir, Graham; Tallon, Stephen

doi:10.1016/j.ces.2005.01.040

Cited by 117 publications

(73 citation statements)

References 6 publications

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“…It is evident that the increase of the restitution coefficient can also be shown during the repeated impact stressing of these granules on the same contact point. An example of this behaviour for brass spheres was presented by Weir and Tallon [108]. However, the restitution coefficient of some materials decreases with increasing impact number due to the softening, microcracking and breakage (see [92]).…”

Section: Loading-unloading Behaviour Of Granulesmentioning

confidence: 99%

“…If expression (18) does not hold, the stress state is a result of advancing elastic or elastic-plastic waves [1,108]. The propagation time of the elastic wave into a contact partner i along the normal impact can be given as:…”

Section: Introductionmentioning

confidence: 99%

“…The relative impact velocity of a particle can be calculated from the distance between the overhead plane and impact point. The velocity of particles after the impact can be measured using high-speed video recording of impact [108] or some photodiodes [86]. The advantage of the pendulumbased experiments is the possibility to perform the impact at small impact velocities (cm/s), which is difficult to obtain in free-fall experiments because on the small falling height.…”

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

“…Pendulum-based experiments are also performed to measure the restitution coefficient in particle-wall [16,34], particle-particle [86,108] and particle-beam events [83]. Figure 8c schematically shows the pendulum experiments.…”

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

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Energy absorption during compression and impact of dry elastic-plastic spherical granules

et al. 2010

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The discrete modelling and understanding of the particle dynamics in fluidized bed apparatuses, mixers, mills and others are based on the knowledge about the physical properties of particles and their mechanical behaviour during slow, fast and repeated stressing. In this paper model parameters (modulus of elasticity, stiffness, yield pressure, restitution coefficient and strength) of spherical granules ( γ -Al 2 O 3 , zeolites 4A and 13X, sodium benzoate) with different mechanical behaviour have been measured by single particle compression and impact tests. Starting with the elastic compression behaviour of granules as described by Hertz theory, a new contact model was developed to describe the force-displacement behaviour of elastic-plastic granules. The aim of this work is to understand the energy absorption during compression (slow stressing velocity of 0.02 mm/s) and impact (the impact velocity of 0.5-4.5 m/s) of granules. For all examined granules the estimated energy absorption during the impact is found to be far lower than that during compression. Moreover, the measured restitution coefficient is independent of the impact velocity in the examined range and independent of the load intensity by compression (i.e. maximum compressive load). In the case of repeated loading with a constant load amplitude, the granules show cyclic hardening with increasing restitution coefficient up to a certain saturation in the plastic deformation. A model was proposed to describe the increase of the contact stiffness with the number of cycles. When the load amplitude is subsequently increased, further plastic deformation takes place and the restitution coefficient strongly decreases.

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Section: Loading-unloading Behaviour Of Granulesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

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Energy absorption during compression and impact of dry elastic-plastic spherical granules

et al. 2010

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“…Similarly, different yield laws [5] will result in different plastic motions, as will the relative importance of the plastic (irreversible) and elastic (reversible) deformations. Previous plastic deformations will affect the surface geometry of the bodies, and this will also affect subsequent deformation [12].…”

Section: Introductionmentioning

confidence: 99%

Initial deformation about convex surfaces formed from identical, rough elastic-plastic bodies which approach along their normal at first contact

Weir¹

2007

ANZIAM J.

Self Cite

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The low-velocity impact of two convex surfaces comprised of identical material, which approach each other along the direction of the normal at first contact, and obey a Jj = k 2 plastic yield condition, is shown for very early times to satisfy the following conditions: the interior surface which separates the two bodies is equivalent to either the locus of points formed by the intersecting curves resulting from moving the two bodies towards each other along their normal; or to the locus of points formed from the level surfaces (suitably parametrized) drawn about each body at the time of first contact. This separating surface lies midway between the geometrical overlap of the two approaching surfaces for times sufficiently short for inertial effects not to significantly affect the approaching velocities.2000 Mathematics subject classification: primary 74C99; secondary 52C35, 74A45.

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Determination of Physical Properties of Fine Particles, Nanoparticles and Particle Beds

Hintz

Antonyuk

Schubert³

et al. 2008

Modern Drying Technology

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The coefficient of restitution for normal incident, low velocity particle impacts

Cited by 117 publications

References 6 publications

Energy absorption during compression and impact of dry elastic-plastic spherical granules

Energy absorption during compression and impact of dry elastic-plastic spherical granules

Initial deformation about convex surfaces formed from identical, rough elastic-plastic bodies which approach along their normal at first contact

Determination of Physical Properties of Fine Particles, Nanoparticles and Particle Beds

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