2015
DOI: 10.1002/ls.1297
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Axisymmetric squeezing of a Phan‐Thien and Tanner lubricant film under imposed constant load in the presence of a poroelastic medium

Abstract: In this paper, a modified Reynolds equation in polar coordinates using the Phan-Thien and Tanner rheological model is combined with a modified Darcy law describing a poroelastic confining surface. The Phan-Thien and Tanner model is commonly used to describe the viscoelastic behaviour of synovial fluid, while the poroelastic model can portray articular cartilage. Together, they may provide a simulation basis for lubrication of the tribology of the knee contact under squeezing. The results obtained for the axisy… Show more

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Cited by 6 publications
(4 citation statements)
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References 29 publications
(72 reference statements)
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“…The self-lubricating performance of the porous material attracts many researchers in the world. Most studies have focused on exploring the effects of the friction boundary, [8,9] pore parameters, [10] lubricant properties, [11] and external field excitation [12,13] on the lubrication performance. Dowson [14] took the pressure in the porous surface as a lubrication boundary and substituted it into the lubrication model to further investigate the whole lubricant flow in the porous friction system.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The self-lubricating performance of the porous material attracts many researchers in the world. Most studies have focused on exploring the effects of the friction boundary, [8,9] pore parameters, [10] lubricant properties, [11] and external field excitation [12,13] on the lubrication performance. Dowson [14] took the pressure in the porous surface as a lubrication boundary and substituted it into the lubrication model to further investigate the whole lubricant flow in the porous friction system.…”
Section: Introductionmentioning
confidence: 99%
“…From the perspective of the classical elastohydrodynamic lubrication theory, researchers [22][23][24] used a simplified thin linear elastic layer model to calculate the deformation. Bujurke [25] and yousfi [26] also established the porous elastic lubrication model by introducing the elastic coefficient into the seepage equation and coupling it with the fluid lubrication theory. To sum up, although the related researchers have noticed the remarkable influence of the deformation on the lubrication quality, the exudation characteristics of lubricant in the pores on the deformed porous surface are not involved.…”
Section: Introductionmentioning
confidence: 99%
“…So, the mechanical nature of granular flow lubrication is different compared with typical liquid lubrication (Higgs and Tichy, 2008). Granular flow lubricate is more suitable for the high temperatures, heavy loads, low speeds or harsh environments, in which the lubricating oil film is not formed (Yousfi, et al , 2015; Wang, et al , 2021). Force chain is the exclusive mechanical structure of granular flow systems which has an important effect on the particles flow pattern, interfacial loading and lubrication properties (Walker et al , 2016; Lai et al , 2023; Wang et al , 2022).…”
Section: Introductionmentioning
confidence: 99%
“…The load carrying capacity, film thickness, and squeeze time are predicted for hydrogel systems with varying permeability and elastic modulus [139][140][141] . I will use this modelling approach in combination with the well-defined model for the mechanics of bacterial cellulose systems to 18.…”
Section: Poly(nisoproylacrylamide)mentioning
confidence: 99%