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Soft EHL Simulations of Lubricant Film Thickness in Textured Hard-on-Soft Bearings Considering Different Cavitation Models, in the Context of Prosthetic Hip Implants

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Abstract

We use soft elasto-hydrodynamic lubrication simulations to calculate the lubricant film thickness in textured hard-on-soft parallel slider bearings and compare a mass-conserving cavitation model based on the Elrod implementation of the Jakobsson, Floberg, and Olsson (JFO) theory to simplified Reynolds and half-Sommerfeld cavitation models. We determine the optimum texture design parameters that maximize the lubricant film thickness for a range of bearing operating conditions and compare the results obtained with the different cavitation models. We determine that the JFO cavitation model predicts smaller optimum texture aspect ratios than the Reynolds cavitation model, and that the difference between the lubricant film thickness calculated with the different cavitation models increases with increasing texture aspect ratio and decreasing flow factor. These results are useful to determine when the mass-conserving JFO cavitation model or the simplified Reynolds cavitation model should be employed. Furthermore, the results are relevant to designing textured hard-on-soft bearings with application in, e.g., prosthetic hip implants.

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Data Availability

Source data available by request.

Code Availability

We used custom code develop by our lab, in combination with Ansys.

Abbreviations

c :

Bearing surface separation

d(x,y):

Polyethylene deformation

D(X,Y):

Non-dimensional polyethylene deformation, d/2rp

E :

Young’s modulus

h(x,y):

Lubricant film thickness

H(X,Y):

Non-dimensional lubricant film thickness, h/c (simulation), or h/2rp (results)

H min :

Minimum non-dimensional lubricant film thickness

H opt :

Optimum non-dimensional lubricant film thickness

h p :

Depth of texture feature

p(x,y):

Lubricant film pressure

P(X,Y):

Non-dimensional lubricant film pressure, p/p0

p 0 :

Atmospheric pressure

P avg :

Average non-dimensional lubricant film pressure

p cav :

Cavitation threshold

P cav :

Non-dimensional cavitation threshold

r 1 :

Half-length of square unit cell

r p :

Radius of texture feature

S p :

Texture density, πrp2/4r12

S p max :

Maximum texture density, π/4

U :

Relative sliding velocity between bearing surfaces

W :

Bearing load-carrying capacity, ∫∫P(X,Y)dXdY = Pavg

x, y, z :

Cartesian coordinates

X, Y, Z :

Non-dimensional Cartesian coordinates, x/rp, y/rp, z/rp

δ :

Non-dimensional bearing surface separation, c/2rp

ε :

Texture aspect ratio, hp/2rp

ε opt :

Optimum texture aspect ratio

θ(X,Y):

Fractional film content parameter

λ :

Flow factor, 3µU/2rpp0

µ :

Dynamic viscosity

ν :

Poisson’s ratio

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Acknowledgements

This work was partially supported by the National Institutes of Health, National Institute of Arthritis and Musculoskeletal and Skin Diseases under grant 1R03AR066826-01A1.

Funding

This work was partially supported by the National Institutes of Health, National Institute of Arthritis and Musculoskeletal and Skin Diseases under Grant 1R03AR066826-01A1.

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  1. Department of Mechanical Engineering, University of Utah, 1495 E. 100 S. (1550 MEK), Salt Lake City, UT, 84112, USA

    Quentin Allen & Bart Raeymaekers

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Allen, Q., Raeymaekers, B. Soft EHL Simulations of Lubricant Film Thickness in Textured Hard-on-Soft Bearings Considering Different Cavitation Models, in the Context of Prosthetic Hip Implants. Tribol Lett 69, 118 (2021). https://doi.org/10.1007/s11249-021-01498-8

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