Rebound behaviour of spheres for plastic impacts

Wu, Chuan‐Yu; Li, Long-yuan; Thornton, Colin

doi:10.1016/s0734-743x(03)00014-9

Cited by 209 publications

(112 citation statements)

References 17 publications

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“…Models have been developed for predicting the coefficient of restitution (Tabor 1948;Wu et al, 2003;Stevens and Hrenya, 2005), based on which the amount of the energy loss can be estimated. Energy loss could occur during plastic deformation, adhesion, friction and vibration.…”

Section: Analytical Workmentioning

confidence: 99%

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

Givehchi

Tan

2014

Aerosol Air Qual. Res.

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This paper provides an overview of recent studies on the filtration of airborne nanoparticles. Classical filtration theory assumes that the efficiency of nanoparticle adhesion is at unity when nanoparticles strike a filter with a Brownian motion. However, it has been pointed out that small nanoparticles may have a sufficiently high impact velocity to rebound from the surface upon collision, a mechanism called thermal rebound. According to thermal rebound theory, the adhesion efficiency of nanoparticles decreases if their size is reduced. However, this phenomenon has not yet been clearly observed in experimental studies; there are still a number of uncertainties associated with the concept of thermal rebound, which is yet to be either proven or disproven. This review paper discusses the findings in the current literature related to thermal rebound theory.

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Section: Analytical Workmentioning

confidence: 99%

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

Givehchi

Tan

2014

Aerosol Air Qual. Res.

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“…However, many different models were developed to describe the restitution coefficient of viscoelastic (Schafer et al [79], Stronge [88], Stoianovici and Harmuzlu [87]), viscoelastic-adhesive (Thornton and Ning), viscoelastic (Brilliantov [11]), elastic-perfectly plastic (Thornton [93], Wu et al [109]), elastic-perfectly plastic adhesive (Thornton and Ning [94]), elastic-perfectly plastic with hardening (Mangwandi et al [64]), elastic-plastic (Johnson [38]), elastic-viscoplastic (Adams et al [3]), plastic and viscoplastic (Walton and Braun [106]), elastic-adhesive (Thornton and Ning [94]) contacts. A review of these models is given in Table 1.…”

Section: Significant Factors Affecting the Restitution Coefficientmentioning

confidence: 99%

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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“…Wu et al [17] presented the finite element analysis of the impact of a sphere with a surface using DYNA2D. Because of geometrical and loading symmetries, only half part of the geometries were considered and simulated.…”

Section: Finite Element Methods (Fem) Analysismentioning

confidence: 99%

“…The results obtained have also been compared to several theoretical models. In Figure 8, the simulation results obtained by the Autodyn software are compared with the experimental results of Gorham and Kharaz [1] and with the theoretical models of Thornton [8] and Wu et al [17].…”

Section: Normal Impactsmentioning

confidence: 99%

Numerical Investigation of Particle Rebound Characteristics with Finite Element Method

Azimian¹,

Bart²

2017

OJFD

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In this work, investigation of particle rebound characteristics due to impact with surface of a target material is presented. The rebound of a spherical particle after impact on a planar surface was analyzed in detail. Specifically, the coefficient of restitution of the particle under various impact conditions was investigated numerically. This study has been conducted by carrying out a series of FEM-based (finite element method) simulations using ANSYS Autodyn software. First, a summary about the state of the art and the theoretical models for the elastic collisions were reviewed. Afterwards, the impact of an aluminum oxide particle on an aluminum alloy target surface was modeled. Using the Autodyn tool, the results were compared and validated by the experimental results of Gorham and Kharaz [1]. Selection of an appropriate equation of state (EOS) and a strength model for each material had a strong effect on the results. For both materials, the Shock EOS was applied for the final simulations. As the strength model, the Johnson-Cook and the elastic model were used, respectively. The agreement of the obtained numerical results with the experimental data confirmed that the proposed model can precisely predict the real behavior of the particle after the impact, when the material models are properly chosen. Furthermore, the effects of impact velocity and impact angle on the rebound characteristics of the particle were analyzed in detail. It was found that the selection of the exact value of friction coefficient has a drastic effect on the prediction of restitution coefficient values, especially the tangential restitution coefficient.

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Rebound behaviour of spheres for plastic impacts

Cited by 209 publications

References 17 publications

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

An Overview of Airborne Nanoparticle Filtration and Thermal Rebound Theory

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

Numerical Investigation of Particle Rebound Characteristics with Finite Element Method

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