A Novel Elastic Squeeze Film Total Hip Replacement
Stephen Boedo
Department of Mechanical Engineering
Rochester Institute of Technology
Rochester, NY 14623
[email protected]
John F. Booker
Sibley School of Mechanical and Aerospace Engineering
Cornell University
Ithaca, NY 14853
[email protected]
(THR) (HRR) Mattei (2011)
R1 = 14 – 16 mm R1 = 25 mm
Market Trends
•
Total revenue generated by sales of hip implants in the United States in 2011
was approximately
$2.8 billion
, representing a 3.5 percent increase over
2010.
•
Revenue in the U.S. hip implants market is projected to grow at a compound
annual growth rate (CAGR) of
3.9 percent
from 2011 to 2016, reaching
$3.3
billion
in 2016.
•
In 2011, the percentage revenue contributions of different hip implant
segments were: primary hip implants—56.3 percent; partial hip implants—
32.2 percent; revision hip implants—11.5 percent.
•
Competitors generating the highest revenue in the U.S. hip implants market
in 2011 were
Zimmer, DePuy, and Stryker
. Together, they contributed 67.6
percent of the total market revenue.
•
Procedures in the U.S. hip implants market are projected to grow at a
CAGR of
2.7 percent
from 2011 to 2016, reaching
537,423
in 2016.
•
Technology advancement and an aging population are two main
contributors to the overall market growth.
•
Price is a major competitive factor for hip implant manufacturers.
Prices will remain relatively stable from 2011 to 2016.
•
As all market participants offer similar product lines in terms of
technology and categories, it is important for companies to focus on
new product launches and product differentiation
to increase their
market share.
Frost and Sullivan (2012)
Frost and Sullivan (2012)
•
The FDA received about 11,000 reports of defective hip failures by
September 2011—some independent studies showed that metal-on-metal
hips failed three times more than other hips. Metal-on-metal artificial hips
include models manufactured by DePuy (Johnson & Johnson), Biomet,
Stryker, and Zimmer.
•
Though these numbers may seem gloomy for manufacturers,
metal-on-metal hips will regain credibility once companies are able to show data that
illustrate the advantages of metal-on-metal designs.
•
Increased advances in biomaterials will encourage smaller companies to
compete in niche sections of the market
Osteolysis (Metal-on-Plastic)
Abu-Amer et al. (2007)
Firkins et al. (2001)
Metallic Wear Particles from Metal-on-Metal THR
Ceramic-on-Ceramic THR Issues
Why is wear an issue in THR?
•
Gait cycle load does not reverse direction
squeeze film action absent
•
Gait cycle ball angular velocity is low
wedge film action limited
Spherical joint geometry
•
Spherical ball and cup
point contact vs. line contact (journal bearings)
•
Large radial clearance
Hip joint kinematics and load history –
14 mm ball/cup
Radial clearance = 30 μm (uniform)
Viscosity = 1 – 2.5 mPa-s
Wang and Jin (2008)
Min film thickness = 15-25 nm Max film pressure = 55-60 MPa
Cup inclination angle unimportant
14 mm ball
Nominal radial clearance = 30 μm Peak ellipticity = 6 μm
Viscosity = 1 – 2.5 mPa-s
Wang et al. (2009)
MoM Lubrication Analysis – Nonuniform Clearance Study
Min film thickness = 10 nm (spherical cup and ball) = 15 nm (best case)
Max film pressure = 55 MPa (spherical cup and ball) = 45 MPa (best case)
“Alpharabola” MoM Hip Joint
R1 = 14 mm
Fitted bearing (zero clearance) Viscosity = 2 mPa-s
Max film pressure = 55 MPa
Min film thickness = 60 nm (best case)
Meng et al. (2011)
40 nm protein deposition layer on ceramic ball surface
same order as calculated minimum film thickness values!
suggests a completely different lubrication mechanism for current artificial hip joints
Ball-on-Plate Testing with Bovine Serum
hydrocarbon oil bovine serum
Myant et al. (2012) film thickness measurements
We propose a new artificial hip joint design that:
•
Enhances film thickness
(well above protein boundary layer)
•
Allows for larger design clearances
•
Employs rigid surface assumptions in the design process
Consider a hypothetical mechanical spring inserted between ball and cup
spring load magnitude is on the order
of the swing phase load ball and cup separated
at start of stance phase synovial fluid
start of stance phase
Stance Phase
external load greater than spring load
normal approach of ball and cup
external load
most of external load carried by squeeze film action of lubricant
stance phase progresses
Design does not rely on wedge film action
End of Stance
Phase
External load equal to spring load
end of normal approach of ball and cup
external load
end of stance phase
all of external load carried by spring
swing phase progresses
Swing Phase
Spring load greater than external load
end of normal separation of ball and cup
cavitation of synovial fluid
Swing Phase
Spring load greater than external load
normal separation of ball and cup swing phase progresses cavitation region collapse (refilling)
End of Swing
Phase
Spring load greater than external load
normal separation of ball and
cup ends complete film
Current
MoM
hip joint
ball
cup
shell
Cup Design Features
R
2r
2Y
Z
δ
ϴ
α
r
2Y
Z
R
1e
r
2= R
2+ δ cos
2θ
C = r
2- R
1h = C
-
e
•
n
n
h
h = R
2- R
1+ δ cos
2θ
-
e
•
n
h =
C
0+
{
δ
cos
2θ
-
e
•
n
Ellipticity and
Nominal Clearance
Definitions
Ellipticity Nominal clearancecup
ball
Y
Z
e
F
Zω
YInitially
concentric
ball and cup
Effect of Ellipticity on Minimum Film Thickness History
(Stance Phase) R
1= 16 mm, C
0= 30 μm
Effect of Ellipticity on Maximum Film Pressure History
(Stance Phase) R
1= 16 mm, C
0= 30 μm
C
0= 30 μm
δ = 30 μm
C
0= 30 μm
δ = 40 μm
C
0= 30 μm
δ = 50 μm
C
0= 30 μm
δ = 50 μm
Cup Optimization Study R
1
= 16 mm
conventional designs
conventional designs
Maximum film pressure (MPa)
Conclusions
A novel design approach for artificial hip joints exploits squeeze-film action to yield substantially thicker lubricant films and smaller lubricant film pressures compared with conventional designs.
Optimal squeeze-film bearing performance during the stance-phase portion of the gait cycle is accomplished though ellipsoidal cup geometry with ellipticity specifications which result in line contact in the limit of ball-cup relative motion along the load line.
Low squeeze-film pressures and large film thicknesses produced in the optimal cup designs should not result in significant elastic deformation of the cup regardless of material choice.
Thus, a UHMWPE cup with either a metal or ceramic ball is a plausible material combination for the proposed design.
Low squeeze-film pressures and large film thickness are predicted assuming rigid ball and cup surfaces; effects of elasticity of the “rigid” cup surface should yield even thicker films and lower film pressures.