be expected, as observed, that the size and shape of each
segment will be approximately the same for a reasonably
homogeneous work material. During the cutting process,
different parts of the cutting edge are engaged. Additionally,
all points of the cutting edge, according to their different
cutting angle, have to bear different loads. The shaded area
in Fig. 2B represents the area that the cutting edge travels
through in one rotation, i.e. the tool±workpiece contact area.
The cutter is perpendicular to the workpiece. Conse-
quently in the process, the tool tip, although very small in
size, actually does not involve in shearing but rubs the
workpiece in the feed direction instead, for its cutting
velocity is zero. That is why the chip is not a complete
cone and how the in-cut segment area in Fig. 2B is formed.
The top of the cone is missing because it is rubbed away by
the tool tip, which deteriorates the surface quality. Thus a
better strategy is to tilt the cutter so that only the cutter edge
is engaged with the tool, as Schulz [5] has suggested. In
Fig. 2B, O stands for the tool tip, so that segment BOC
represents the portion of the workpiece that is rubbed away
by the tool tip. In stable cutting, the cutter±workpiece
contact length is just the length of cutting edge engaged.
The in-cut segment is shown in Fig. 2 as ABCD. Segment
ABCD also stands for the cutting edge±workpiece contact
area in the stable process. It is soon found that in an unstable
machining process, the cutting edge±workpiece contact area
and length differ substantially. It is noted for stable cutting
that during one tooth contact period T
c
, only one chip is
produced.
Fig. 3 illustrates the locus of the movement of the cutting
edge in stable cutting. This kind of chip formation is
attributed to two factors: the shearing process, which is
dependent on the geometry of the ball-nose cutter, i.e. the
geometry of the in-cut segment area and the thermal effect of
the cutting process.
The geometry of the ball-nose cutting tool, which deter-
mines the geometry of the in-cut segment in stable cutting,
has a dominant effect on the formation process of a stable
chip.
The shearing process begins when the cutting edge starts
to penetrate the workpiece. As the cutter rotates, the primary
deformation zone also moves accordingly. The chip slides
over the tool rake face as it is formed and curls up until it
reaches the second tool rake face. Simultaneously the center
of the chip is extruded upward. This process continues until
the movement of the upper side of the chip is obstruded by
the tool's second rake face. Then the chip has no way to
move but to curl in accordance with the cavity between the
®rst and the second rake face as shown in Fig. 2A, which
forms the second deformation zone. In stable cutting, the
groove is the only possible path for the chip to move along.
Noticing that the tool is rotating, this cavity is actually
formed as a cone. That is how the chip comes into a shape of
twice-curved cone. The shearing is ®nished when the created
chip is shaven away and the chip curling also stops at the
same time when the tooth leaves the workpiece. There will
be no chip±workpiece contact in the chip formation process.
One chip formation process ®nishes when the in-cut tooth
leaves the workpiece. Another tooth will in turn be engaged
with the workpiece and the chip formation starts again.
It is well known that in HSM, a large amount of the cutting
heat is transferred into the chips. The temperature in the chip
area, especially in the lower side of the chip, will be very
high. Normally T2 is higher than T1, so that thermal stresses
will result which cause the chip to curl to a smaller radius
(refer to Fig. 4). The chip will behave like a thermal bi-
metallic spring, although there is little friction between the
lower part of chip and the tool face. When T2 is much higher
than T1, the chip will curl towards the center of the
curvature. This is also veri®ed by the analysis of the chip
color. The color of the lower part of the chip is always darker
than that of the upper side, which means a severer extent of
oxidation that is caused by a higher temperature.
The friction between the chip and rake face is found to be
insigni®cant. From the EDX analysis graph (Fig. 5), no
elements of coating material (TiAlN) and bonding material
(cobalt) are found, which establishes that no tool material
has been transferred to the chip.
The dominant tool wear mechanism is found to be of
classic ¯ank wear (Fig. 6). The maximum wear always
occurred at the part of the cutting edge where the highest
cutting velocity is achieved. This also establishes that the
friction on the rake face is trivial.
It is concluded that in stable cutting, the chip is produced
as the result of shearing together with the interaction
between the ®rst and second rake face.
As mentioned earlier, chip segmentation under high cut-
ting speed is normally attributed to the ``adiabatic shear''
Fig. 3. The cutter movement of stable cutting. ACB Ð movement of the
in-cut tooth. ADB Ð movement of the next tooth. Fig. 4. The behavior of chip due to thermal effects.
362 Y. Ning et al. / Journal of Materials Processing Technology 113 (2001) 360±367