Manufacturing and Examination of Metallic
Femoral Heads
Nikolaos I. Galanisa and Dimitrios E. Manolakosa
a
School of Mechanical Engineering, National Technical University of Athens, 9th Iroon Polytechniou
Av. Zografou, 15780, Athens, Greece.
Abstract. In the last years new methods have been investigated for the manufacturing of
artificial implants for hip joints. For some parts of these implants, like femoral heads, the method
of high speed machining is used to get manufactured. In this paper it was investigated the
connection between cutting parameters and forces, in high speed turning of metallic femoral
heads. This method is widely used in the industry combined with hard part machining, and leads
to having better surface roughness and to decreasing of cutting time. It is also investigated the
connection of the surface roughness and this manufacturing method with the measuring of the
spheres using Atomic Force Microscopy according to the strict Standards of ISO 7206.
Keywords: Cutting Forces, Femoral Head, High Speed Machining, Roughness
PACS: 01.10.Fv
INTRODUCTION
The mammalian synovial joint is truly a remarkable structure and mechanism. After
maturation, guided both by a genetic blueprint and by functionally driven adaptation,
its behaviour exceeds that of all simple engineered bearings; it is selflubricating and,
to a degree, self-repairing and capable of a service life exceeding 75 years. However,
when damaged by trauma, disease or extended use, its repair and replacement has
proven to be both one of the most challenging and rewarding of all aspects of human
medicine. For when a painful joint, especially in the lower limb, is successfully
replaced, the patient has not simply had pain relieved but has been restored to full life,
often to such an extent that the permanent presence of an implant is essentially
forgotten [1]. During the last decades hip – joint endoprosthetics have been ever more
widely used in the world’s orthopedic practice; more than 400,000 operations are
performed every year and more than 100 types of endoprosthetic construction have
been designed [2].
Nowadays, the annual number of prosthesis replacements of hip joints has
increased to about 300 000 in the USA, 60 000 in Germany and 20 000 in Russia. At
the same time, the amount of operations grows constantly, mainly due to the process
of natural aging of the society and the increase in the number of technological and
transportation-related accidents. Currently, an industry of the production of implants,
instruments and accompanying materials has been developed; in the Western market,
CP1220, Current Themes in Engineering Science 2009: Selected Presentations at the World Congress on Engineering – 2009
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67
this production is estimated to be about US$2.5–3 billion per year [3]. At the
manufacture of hip joint prostheses the recent tendency is directed on development
and use of new ceramic materials with high physical and mechanical properties for
replacement of hirulene, in combination with the metallic ones. For this purpose it is
required to solve some scientific and practical problems. There are developments of
hip joint construction, a choice of an optimal pair of materials, development of
machining technology of internal and external spherical surfaces of metallic and
ceramic elements, development of the special diamond tools that allow an excellent
surfacing, etc. [4]. In this paper, it will be presented the manufacture of such hip joint
implants, especially metallic ones, with the use of ultra high precision techniques in
combination with High Speed Machining. The procedure was studied not only during
the manufacturing, with the forces that acted to the tool and the specimen, however
and after that with the measurement of the final products in order to examine its
surface and if the roughness values are close to the restrictions of the International
Standards..
MANUFACTURING PROCESS
In recent years, high-speed machining (HSM) technology is becoming matured owing
to the advance of machine tool and control system. In comparison with the
conventional methods, HSM not only exhibits a higher metal removal rate but also
results in lower cutting force, better surface finish, no critical heat of the workpiece,
etc. HSM has long been applied in die and mold manufacturing [5]. Also it can be
combined with hard machining (hard part machining), which is now an accepted
method for achieving increased product quality in such leading industrial branches as
automotive, roller bearing, hydraulic and die and mold industry. Gear wheels, bearing
rings and other transmission parts are typical applications for hard turning, while highspeed hard milling is a leading technology in the die and mold industry [6]. Thus,
quality is increased and costs are reduced. High speed machining has within an
approximate range, the following requirements and characteristics:
Feed rates: 15 m/min or higher when appropriate pressured air or coolant mist is
provided, usually through the spindle.
Spindle RPM: 2500 to 50000 depending upon tool diameter for milling or part
diameter for turning
Surface cutting speeds: 300 m/min to 1000 m/min, depending upon the hardness of the
steel and the chip load. [7]
Apart from the increased productivity or throughput and better surface finish high
speed cutting offers the following advantages over conventional cutting:
• Increased machining accuracy, especially in machining of thin webs due to
reduced chip load,
• Reduction in the damaged layer,
• Reduced bur formation,
• Better chip disposal,
• Possibility of higher stability in cutting due to stability lobes against chatter
vibration,
• Simplified tooling, etc. [8]
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With these parameters, this method can surely be used in the manufacturing of hip
joint femoral heads, but of course with better choose of machining parameters in order
to optimise the production quality and the productivity. Also with the use of modern
machines, like CNC machine tools, which have the ability of accurate movements and
precise geometrical constructions the manufacture of such assuming products like
femoral heads, which must be constructed under strict standards, can be easy and
much more affective. Also with HSM and appropriate choose of the other cutting
parameters, like feed rate and cutting depth can achieve excellent surface roughness
and also very low cutting forces, which mean less tool wear and better productivity
[9], [10]
Geometry
It is obvious that the spherical shape should approach to a perfect sphere as much as
possible (within the limits of 0.1–0.15 μm). The stated dimensions should be
extremely exact (the diameter tolerance is 28±1 μm). Note that the geometrical
characteristics are directly dependent on the final stages of processing [3], [11].
Surface Roughness
The intensity of the wear process of a hip-joint prosthesis ball joint depends on the
roughness of the spherical part of the head and the interacting part. According to the
standards (from the middle of the 1990s) the roughness, Ra must be less than 0.3 μm.
Nowadays, these standards seem to be unsatisfactory; almost five years ago, new
standards were established: the roughness, Ra must lie within 0.02 and 0.03 μm [11].
In order to achieve high sphericity and surface quality, processing techniques that
incorporate oscillating or planetary motions are used.
In order to achieve such a surface quality, modern technique of diamond-abrasive
lapping of spherical surfaces is related to free abrading, after the manufacturing based
on the mutual abrading of the tool and the part as a result of a wear of skew fields
during the simultaneous gyration of a leading part, elastically pressed to it through a
spherical joint of a led link (cup type tool), the axis of which coincides with the spin
axis of the part and is tilted to the axis of a formed or under an angle, see Figure 1.
FIGURE 1. Variants of diamond lapping control of a head spherical surface [12].
69
Thus, the joint fastening and strengthening of the tool ensures the free selfinstallation of the concave working surface of the part; during the removal of the oversize from the part and the wear of the tool, the profile of the latter is matching the
shape and the profile of the part [12].
EXPERIMENTAL METHOD AND PROCEDURE
Geometry
The selection of cutting variables was based on the design of experiments
methodology [13], [14]. Eight experiments represent 23 factorial designs with added
ten points in the middle edges of the representation cube, Figure 2. Taking into
account three different levels for each variable, as shown in Table 1, we take the
experimental conditions for 18 experiments, shown in Table 3.
Factor, coding (unit)
Cutting speed, Uk (m/min)
Feed, f (mm/rev)
Depth of cut, d (mm)
TABLE 1. Level independent variables
Low (-1)
Centre (0)
264
352
0.06
0.08
0.1
0.15
FIGURE 2. Representation of a 23 factorial design with added parameters
70
High (1)
440
0.12
0.2
Workpiece and Cutting Tool Material
The materials, which was manufactured in a CNC lathe OKUMA Lb 10II, see
Figure 3a, with maximum 10000rpm and movement accuracy in both axis 0.1μm, was
from AISI 316L steel, which hardness was 79HRB, as shown its properties in Table 2.
Coated tool from SECO specification: DNMG 110404 - M3 with TP 2000 coated
grade was used for the manufacturing process. The coated grade code means that over
the carbide body, there are four coating layers of Ti (C, N), Al2O3, Ti (C, N) and TiN.
FIGURE 3. Experimental procedure (a) the CNC Lathe which was used, (b) inside the cabin where
there are the device to support the pre manufacturing material (b1) and the dynamometer (b2), during
the procedure (c) and (d) the final femoral head.
Measurements
During the procedure there were measured the forces that acted to the tool. For this
reason a special device held a Kistler dynamometer 9257A, as shown in Figure 3b.
This is a three-component piezoelectric dynamometer platform. The force data were
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recorded by a specifically designed, very compact multi-channel microprocessor
controlled data acquisition system with a single A/D converter preceded by a
multiplexer.
TABLE 2. Material properties
Material Properties
AISI 316L Stainless Steel
Physical
Density
8 g/cc
Mechanical
Hardness, Rockwell B
79
Tensile Strength, Ultimate
560 MPa
Tensile Strength, Yield
290 MPa
Elongation of Break
50%
Modulus of Elasticity
193 GPa
Poisson ‘s Ratio
0.29
After the manufacturing, all the spheres, see Figure 3d, were measured with an
Atomic Force Microscope (A. F. M.). The cantilever is the surface sensor of an AFM.
A new cantilever commonly has a tip with a radius of about 10 nm. When the
cantilever comes close to the surface of a sample, the tip interacts with the surface
atoms, which apply a very weak force to the cantilever. This force is measured by the
laser detection system (therefore the microscope is called ‘Atomic Force
Microscope’). To measure a surface profile, the cantilever is moved parallel to the
surface. At the same time, the controller tries to keep the force on the cantilever tip
constant by adjusting the distance between cantilever and sample, therefore moving
the cantilever perpendicular to the surface. This movement is recorded and re samples
the surface profile. For measuring not only a single profile line but for example a
rectangular area, this area is divided into several scan lines which are combined to
reproduce a three dimensional surface profile. This operation principle enables the
AFM to detect even atomic steps on the surface, while the lateral resolution is directly
related to the cantilever-tip radius [15].
FIGURE 4. Schematic drawing of the bottom (sensing) part of an AFM scan head
72
This technique was used for two reasons. First it had to be measured very low and
accurate values of roughness, and secondly, it is a quite good method for measuring
spherical surfaces, as it measures a very small surface, 50 x 50 μm, and this area is like
flat one on a sphere. There were naturally several measurements taken all over the
surface of the sphere, in order to check the homomorphous surface roughness, and
from these ones the average value was taken into account.
No of
Cut
Depth
(mm)
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
TABLE 3. Experimental conditions and results
Cutting
Speed
Feed
Force
Coding
(m/min)
(mm/rev)
(N)
X1 X2 X3
264
0.12
1 -1 0
129
264
0.08
1 -1 1
75
264
0.06
1 -1 -1
52
352
0.06
1
0 -1
40
352
0.08
1
0
0
58
352
0.12
1
0
1
99
440
0.12
1
1
1
81
440
0.08
1
1
0
47
440
0.06
1
1 -1
32
264
0.06
-1 1 -1
16
264
0.08
-1 1
0
24
264
0.12
-1 1
1
42
352
0.12
-1 0
1
51
352
0.08
-1 0
0
30
352
0.06
-1 0 -1
20
440
0.06
-1 -1 -1
26
440
0.08
-1 -1 0
39
440
0.12
-1 -1 1
68
Surface
Roughness
(μm)
0.460
0.411
0.410
0.405
0.369
0.344
0.393
0.348
0.345
0.289
0.292
0.323
0.295
0.280
0.266
0.176
0.215
0.237
RESULTS AND DISCUSSION
After the complete of experiments and measurements, there were taken the results
shown in Table 3 for cutting force (Fc) and surface roughness (Rα) οf the spheres. It
can be exported that in general by the increasing of the cutting speed and the
decreasing of the feed rate speed and the depth of cut; both cutting forces and
roughness are decreasing. Also it is noticed that the roughness approaches the strict
international standards that have been set in the last years [16]. This is very important,
because it fulfills the second requirement of the manufacturing aspects of these
implants. For the cutting forces, these affect the wear of simple tool and make it
incapable for manufacturing after a small number of cuttings, and also loosing the
cutting accuracy of it, which affect the first requirement of the manufacturing aspect.
Cutting Forces
In order to examine better the results and to have useful inferences, there are the
results separated into groups and plotted on graphs. So for cutting forces there were
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constructed a column graph, Figure 5 for cutting forces at 0.2mm cutting depth in
regard to cutting speed and feed rate and the second column for cutting forces at
0.1mm cutting depth. It is obvious from the graph that the cutting depth plays a
tremendous role in the variation of the force. It is proportional to depth as it becomes
the half when the depth is reducing two times. The effect of cutting speed can be
attributed to the fact that as speed decreases, the shear angle decreases and the friction
coefficient increases. Both effects increase the cutting force. [17]
Also by the decline of the graph can be seen that the feed rate plays bigger role than
the cutting speed as the surface in this axis goes sharply up as the feed rate increases.
On the contrary the surface in the axis of cutting speed goes regular down as the
cutting speed growths.
FIGURE 5. Graph of cutting forces for the two cutting depths
Surface Roughness
As it was mentioned above through high speed cutting the forces are lower and the
tool wear is less than cuttings with smaller speed values. Also the roughness differs,
but not big differences, in the several points on the same spherical surface where the
measurements took place. If the graphs, showing these results, are studied, it will be
mentioned that the roughness is quite good on all around the surface, but not the same.
This will be corrected with the use of special grinding machines, which will make the
finishing of the manufactured head [12]. There were measured from five points from
each sphere and each measure was revised three times in order to eliminate the fault
factor. Below it is shown (Figure 6) the results of two measures, as they have been
taken from the software of the AFM.
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FIGURE 6. Surface topography of manufactured femoral heads (a) with 356m/min cutting speed,
0.06 mm/rev feed rate and 0.2mm cutting depth, (b) with 440m/min cutting speed, 0.06 mm/rev feed
rate and 0.2mm cutting depth, (c) with 440m/min cutting speed, 0.06 mm/rev feed rate and 0.1mm
cutting depth, (d) with 356m/min cutting speed, 0.08 mm/rev feed rate and 0.1mm cutting depth
In Table 3, they are listed the averages measurements in each sphere and out of
these results, it can be exported the graph in Figure 7, that shows the better the surface
becomes, when the cutting speed increases.
From this graph also, it can be exported that the surface roughness becomes better as
the cutting speed increases. However with the reducing of the feed rate and the cutting
depth the roughness improves and the values of the roughness come closer to the ISO
7206 limits for the femoral heads. It is introduced in this graph a new value of the
roughness, the pre grinding roughness. It is obvious, that the manufactured heads
should finished more, using special grindings machines. All values are less than
0.5μm, which means that the finishing will be better and easier. Furthermore, the more
the cutting speed increases the closer the roughness to the limit of 0.2μm come and
sometimes its value is better than this limit, ex. the roughness at 400m/min cutting
speed with 0.06mm/rev feed rate and 0.1mm cutting depth.
75
FIGURE 7. Graph of surface roughness for the spheres
CONCLUSION
This paper summarizes the affect of the cutting parameters during the manufacturing
of femoral heads in the cutting forces that act during the procedure and the surface
quality of the products. The cutting forces are reducing as the cutting speed increases
and feed rate and cutting depth decreases, something very important for the tool wear
and the accuracy of the process. On the other hand the surface quality improves as the
cutting speed increases and when it takes values bigger than 440m/min it come closer
to 0.2μm, a very important border for accepting an implant according to ISO 7206 – 4.
By the use of HSM with careful selection of cutting parameters, it can be achieved the
production of femoral heads faster and easier, with very good quality after the final
finishing.
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