A microcontact model developed for sphere- and cylinder-based fractal bodies in contact with a rigid flat surface

Liou, Jeng Luen; Tsai, Chi Ming; Lin, Jen Fin

doi:10.1016/j.wear.2009.08.033

Cited by 46 publications

(21 citation statements)

References 19 publications

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“…The gas microflow characteristics and heat transfer performances were investigated and optimized with fractal dimension. Liou et al [39] employed the generalized Weierstrass-Mandelbrot function in combination with the radius-vector function method to derive the formulae of fractal surface asperities.…”

mentioning

confidence: 99%

Slip flow and heat transfer in microbearings with fractal surface topographies

Zhang¹,

Meng²,

Wei³

et al. 2012

International Journal of Heat and Mass Transfer

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mentioning

confidence: 99%

Slip flow and heat transfer in microbearings with fractal surface topographies

Zhang¹,

Meng²,

Wei³

et al. 2012

International Journal of Heat and Mass Transfer

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“…Conduct non-dimensionalization to Eq. (7), to acquire the dimensionless normal contact stiffness: (8) in which:…”

Section: Fractal Model Of the Contact Stiffness On The Tread Interactmentioning

confidence: 99%

“…The effects of surface roughness and fractality on the normal contact stiffness were experimentally demonstrated for various rough surfaces [7]. The sphere-and cylinder-based fractal bodies in contact with a smooth and rigid flat surface was discussed [8]and A revised elastic-plastic contact model of a single fractal asperity was also proposed [9]. The fractal model to calculate normal contact stiffness (NCS) for spheroidal contact bodies considering friction factor in order to calcu-late NCS was discussed [10].…”

Section: Introductionmentioning

confidence: 99%

Research of Normal Contact Stiffness of Straddle-Type Monorail Tyres Based on Fractal Theory

junchao¹

2019

mech

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The contact stiffness of on the rough surface of tread interaction (tire-track) ,a significant parameter for the tire-track contact surface, gives rise to direct influences on stiffness and noises of tyres. There is no sufficient theoretical support for the wheel face design due to lack of research on this parameter. To solve this problem, an innovative method based on the fractal theory and the Hertz contact theory is proposed to estimate tread interaction contact stiffness. The fractal theory model is established to research the influencing factors on normal contact stiffness on the tread surface. Finite element analysis and physical tests have been conducted to make comparisons about the model. According to research results, there is a non-linear relationship between the contact stiffness and the fractal dimension. The research provides theoretical basis for tyre dynamics of straddle-type monorail vehicles and design of the track contact dynamics.

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“…To avoid the computational cost of this redundant (statically indeterminate), probabilistic configuration of discrete random particulate matter [34,35], the model instead adopts a uniform, homogeneous and isotropic continuum as "surrounding medium" to the particulate, absorbing elastic energy equivalent to that of the discrete matter. In the initial ideal model step, this Eshelby surrounding medium is assumed linear elastic with unipolar normal loading in compression only, reflecting the nature of the original particulate matter.…”

Section: Surface and Bulk Deformationmentioning

confidence: 99%

Mechanics and energetics modeling of ball-milled metal foil and particle structures

Aureli

Doumanidis²,

Gunduz

et al. 2017

Acta Materialia

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The reported research establishes a semi-analytical computational predictive model of fractal microstructure in ball-milled metal foils and powder particulates, with emphasis on its transformation mechanics via an energy-based approach. The evolving structure is composed of reconfigurable warped ellipsoid material domains, subjected to collisions with the ball milling impactors following Brownian motion energetics. In the first step of the model, impacts are assumed to generate ideal Hertzian elastic stress fields, with associated bulk deformations quantified as per Castigliano's strain energy methods. In the second stage of the model, elastic energies are recast to produce frictional slip and plastic yield, thus resulting in surface micro-joints. Only two parameters of the model necessitate experimental calibration, performed by comparison of joint energy with laboratory tensile measurements on ballmilled multilayer Al-Ni foils. Model predictions of evolving internal microstructure are validated against SEM micrographs of Al-Ni powder particulate samples for different ball milling durations. Results demonstrate the capability of the model to accurately capture relevant fractal measures of the microstructure of ball-milled powders.

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A microcontact model developed for sphere- and cylinder-based fractal bodies in contact with a rigid flat surface

Cited by 46 publications

References 19 publications

Slip flow and heat transfer in microbearings with fractal surface topographies

Slip flow and heat transfer in microbearings with fractal surface topographies

Research of Normal Contact Stiffness of Straddle-Type Monorail Tyres Based on Fractal Theory

Mechanics and energetics modeling of ball-milled metal foil and particle structures

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