On the Analytical and Experimental Investigation of a Hydrostatic, Axisymmetric Compliant-Surface Thrust Bearing

Castelli, Vittorio; Rightmire, G. K.; Fuller, D. D.

doi:10.1115/1.3617045

Cited by 23 publications

(3 citation statements)

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“…10) and was used previously in elastohydrodynamic lubrication by a number of investigators (Higginson, 1966;Dowson and Taylor, 1967;Castelli et al, 1967;Bennett and Higginson, 1970). Dry contacts with an elastic layer and cylindrical geometry were studied by Bentall and Johnson (1968) using equation (3) for the deformation.…”

Section: -V (3)mentioning

confidence: 99%

Transient Elastohydrodynamic Lubrication Models for the Human Ankle Joint

Medley

Dowson

Wright

1984

Engineering in Medicine

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An equivalent bearing was proposed to represent the normal human ankle joint. The geometry was based on measurements of dissected ankle joints and tissue properties were obtained from the work of previous investigators. Theoretical models were developed to estimate the cyclic variation in lubricant film thickness and coefficient of friction during repetitive activities such as walking. Solutions were obtained for various combinations of input parameters. For the conditions representing the walking cycle, film thicknesses of about 0.7 pm were calculated. Although this value was smaller than most previous measurements of the rms roughness of cartilage, it was not much smaller and suggested that transient elastohydrodynamic lubrication played a role in synovial joint lubrication. The possibility of full fluid film lubrication was supported only when a very high input viscosity was employed, based on values estimated from the previous experimental studies of the boosted lubrication mechanism. Also, an attempt was made to link the current findings to a published experimental study of whole joint lubrication.

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Section: -V (3)mentioning

confidence: 99%

Transient Elastohydrodynamic Lubrication Models for the Human Ankle Joint

Medley

Dowson

Wright

1984

Engineering in Medicine

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“…Poroelastic lubrication can be studied correctly if the variation of permeability with porosity under the local effect of load is considered. 17 However, several studies 6,16,19,23 have taken into account the elasticity of the porous matrix by using Winkler's model, 18 first introduced in 1867, to study the deformability of soils. Despite its simplicity, this model also makes the equations to be solved very complex.…”

Section: Resultsmentioning

confidence: 99%

“…Several theoretical and/or experimental studies carried out to improve the performance of prostheses analysed deformable counterpart layers fulfilling the function of articular cartilage. [13][14][15] Castelli et al 16 proposed Winkler's model 17 for studying hydrostatic bearings with deformable surfaces. Other authors used the same model for the squeezing of a fluid film.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric squeezing of a Phan‐Thien and Tanner lubricant film under imposed constant load in the presence of a poroelastic medium

Yousfi

Bou‐Saïd

Tichy

2015

Lubrication Science

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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 axisymmetric case are analysed and compared for certain non-Newtonian shear phenomena on the basis of works from the literature. NOMENCLATUREpermeability of lower disc (m 2 ) K volume average modulus of elasticity (Pa m À3 ) ℓ displacement vector of pores (m) m upper disc mass (kg) p pressure (Pa) p atm atmospheric pressure (Pa) p* Phan-Thien and Tanner (PTT) film fluid pressure, in porous media (Pa) p N Newtonian pressure (Pa) r radial coordinate (m) R disc radius (m) t time (s) v 0 initial radial velocity component (ms À1 ) u N Newtonian radial velocity component (ms À1 ) U 1 , U 2 radial velocity components of lower/upper disc (ms À1 ) U Ã 1 ; V Ã 1 PTT velocity components, in porous media/fluid film interface (radial, axial) (m s À1 ) V 1 axial (normal) velocity component of lower disc (ms À1 ) v* PTT fluid particles relative velocity vector, in porous medium (m s À1 ) v f PTT fluid particles absolute velocity vector, in porous medium (m s À1 ) W 1 , W 2 azimuthal velocity components of lower/upper disc (ms À1dynamic viscosity of PTT solvent (Pa s) η r effective viscosity in z-plane, r-direction (Pa s) η θ effective viscosity in z-plane, θ-direction (Pa s) θ angular coordinate (À) λ relaxation time (s) ξ PTT slip parameter π zz total axial (normal) stress component (Pa) τ rz extra stress component in z-plane, r-direction (Pa)

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Engagement behavior of lubricated porous annular disks. Part I: Squeeze film phase — surface roughness and elastic deformation effects

Ting

1975

Wear

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On the Analytical and Experimental Investigation of a Hydrostatic, Axisymmetric Compliant-Surface Thrust Bearing

Cited by 23 publications

References 0 publications

Transient Elastohydrodynamic Lubrication Models for the Human Ankle Joint

Transient Elastohydrodynamic Lubrication Models for the Human Ankle Joint

Axisymmetric squeezing of a Phan‐Thien and Tanner lubricant film under imposed constant load in the presence of a poroelastic medium

Engagement behavior of lubricated porous annular disks. Part I: Squeeze film phase — surface roughness and elastic deformation effects

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