So, as the tool’s rake face moves rela-tive to that of the workpiece, it ‘engages’ one card at a time, causing it to slide over its adjacent neighbour, this process then repeats itself ‘
Trang 1and later, by Herbert (1928) Around this time, the
cut-ting speeds were steadily improving with the arrival of
new cutting tool materials, such as cemented carbide
In 1937, Piispanen introduced his so-called ‘Deck of
Cards’ principle as an explanation of the cutting
pro-cess (see Fig 24 for Piispanen’s idealised model, with
Fig 25 depicting sheared chips at a range of cutting
speeds) Here, Piispanen’s model depicts the workpiece
material being cut in a somewhat similar manner to that of a pack of cards sliding over one another, with the free surface an angle, which corresponded to the shear angle (ϕ) So, as the tool’s rake face moves rela-tive to that of the workpiece, it ‘engages’ one card at
a time, causing it to slide over its adjacent neighbour, this process then repeats itself ‘ad finitum’ – during the remainder of the cutting process Some important
Figure 25 Variations in chip morphological surfaces at different cutting speeds, giving an indication
of the various shearing mechanisms [Source: Watson & Murphy, 1979]
.
Trang 2limitations are present with Piispanen’s model, namely
that it:
• exaggerates strain in homogeneity,
• shows tool face friction as elastic rather than plastic
in nature,
• considers shearing takes place on a completely flat
plane,
• assumes that BUE does not occur,
• takes an subjectively assumed shear angle,
• takes no account of either chip curling, or
predic-tion of chip/tool length
NB Piispanen’s model is easily understood and does
contain the major concepts in the chip-forming
process – admittedly for simple shear in the main
By way of further information concerning chip
mor-phology: the micrographs of chip surfaces illustrated
in Fig 26 show in these cases, that the morphology
indicates a semi-continuous chip form These chip
forms point towards the fact that noticeable periodic
variations have occurred, perhaps as the result of the
stress becoming unstable, rather than resulting from
any vibrational effects produced by the machine tool
Any such instability, has the effect of causing minute
oscillations (i.e backward and forward motion) in
the shear zone, while the machining takes place The
differences in segment shapes shown and their
fre-quency occurring at differing cutting data in these
micrographs, are thought to be dependent upon the
frequency of the shear plane’s oscillation relative to the
cutting speed
A considerable volume of fundamental work on
machining research has been undertaken over the
last few years, but during World War Two (i.e from
a European perspective), Ernst and Merchant (1941)
produced another significant paper dealing with the
mechanics of the machining process – some of these
research findings will be briefly dealt with in the
chap-ter on Machinability and Surface Integrity, along with
other contributions to this subject
2.3 Chip-Development
Most metallic materials can be considered as
rela-tively hard to machine and this is evident from all of
the reported literature on the subject of metal cutting,
indicating that shearing occurs in a concentrated
re-gion between the chip and tool, this effect being
de-picted schematically in Fig 26 The overall machining process is well concealed behind a amalgamation of: workpiece material, high speeds and feeds, elevated temperatures and enormous pressures The actual cutting dynamics in contemporary machining opera-tions, utilises just a few millimetres of physical contact between the tool and the chip of a precisely-shaped cutting edge geometry in an exotic mixture of tool ma-terial to efficiently machine the workpiece – this being
an impressive occurrence worthy of note
In the early work on machining, it was thought that the chip was formed by deformation along a shear plane, elastically in the first instance, then plastically
as the evolving chip passed through a stress concentra-tion The Piispanen model (i.e Fig 24) illustrates this point, where workpiece material is being cut by pro-gressive slip relative to the tool point, an angle which corresponded to that of the shear plane Here (i.e Fig 24), it shows how each chip segment forms a small, but very thin parallelogram, with slippage occurring along its shear plane
In an orthogonal cutting process, as the workpiece material approaches this ‘shear plane’ it will not
be-gin to deform until it reaches the ‘shear plane’ Here,
it is transformed from that of simple shear, as it moves across a thin shear zone, with the minute amount of secondary shear being virtually ignored, as is the case for tertiary shear – this being the equivalent of a slid-ing friction but havslid-ing a constant coefficient of fric-tion Chip deformation in reality, is produced over a zone of finite width, usually termed the ‘primary shear zone’ (see Fig 26) As the chip evolves, the back of the chip tends to be roughened, due to the plastic strain being inhomogeneous in nature (see Fig 25) This shearing action creates a particular chip morphology
as a result of the either, stress concentrations, or by presence of points of weakness in the workpiece
be- Interface pressures between the chip and the tool are
nor-mally exceedingly high, typically of the order of 1,000 to 2,000
N mm–, with temperatures in certain instances at the tool’s face reaching approximately 1100°C.
Orthogonal machining, is when the cutting tool’s edge (i.e rake
face – see Fig 19b) is presented ‘normal’ to the evolving chip and thus, to the workpiece, at 90° to the relative cutting motion That
is, little if any, side shearing action occurs, while the chip is be-ing formed as it progresses up the tool’s rake face – effectively created by two distinct cutting forces: tangential and axial.
Trang 3Figure 26 Schematic representation of a sing-point stock removal process, during the continuous cutting of ductile metals
.
Trang 4ing machined0 Once the chip deformation begins, it
will continue within this ‘zone’ , as though here in this
vicinity, the workpiece material is exhibiting a form of
negative strain-hardening
The oblique cutting process presents a different
and much more complex analytical problem, which has
been the subject of a lot of academic interest over the
years Even here, the whole cutting dynamics change,
when the tool’s top rake surface is not flat, which is the
normal status today, with the complex contoured
chip-breaker geometries nowadays employed (typically
il-lustrated in Figs 4, 10 and 27a)
Actual chips are normally severely work-hardened,
in particular with any strain-hardening materials (for
example: high-strength exotic alloys employed for
heat-resistance/aerospace applications) as they evolve,
by the combined action of: elevated interface
tempera-tures, great pressures and high frictional effects Such
machined action of the combined effects of mechanical
and physical work, produce a ‘compressive chip
thick-ness’ , which is on average, dimensionally wider than
the original undeformed chip thickness (see Fig 26)
The rake angle depicted in Fig 26 is shown as
posi-tive, but its geometry can tend to the neutral, right
through to the negative in its inclination As the rake
angle changes, so will the complete dynamic cutting
behaviour also change, modifying the mechanical and
0 As the shear plane passes through a particular stress
concen-tration point, it will deform more readily and at a lower stress
value, than when one of these ‘points’ is not present.
Oblique machining, is when the rake face has a compound
an-gle, that is it is inclined in two planes relative to the workpiece,
having both a top and side rake to the face, creating a
three-force model (see Fig 19a), where the cutting three-force
mathemati-cal dynamics are extremely complex and are often produced
by either highly involved equations, or by cutting simulations
This latter simulated treatment is only briefly mentioned later
and is outside the remit of this current book However, this
information on dynamic oblique cutting behaviour can be
gleaned, from some of the more academic treatment given in
some of the selected books and papers listed at the end of this
chapter.
Compressive chip thickness is sometimes known as the: chip
thickness ratio (r)* – being the difference between the
unde-formed chip thickness (h) and the width/chip thickness of the
chip (h)
*Chip thickness ratio (r) = h/h ** (i.e illustrated in Fig 26)
** h = W/ρwl
Where: W = weight of chip, ρ = density of (original)
work-piece material – prior to machining, w = chip width (i.e DOC),
l = length of chip specimen.
physical properties within the chip/tool region, as the various deformation zones are distinctly altered In ef-fect, due to rake angle modification (i.e changing the rake’s inclination), this can have a profound affect on the: cutting forces, frictional effects, power require-ments and machined surface texture/integrity The chips formed during machining operations can vary enormously in their size and shape (see Fig 35a) Chip formation involves workpiece material shearing, from the vicinity of the shear zone extending from the tool point across the ‘shear plane’ to the ‘free surface’
at the angle (ϕ) – see Fig 26 In this region a consider-able amount of strain occurs in a very short time in-terval, with some materials being unable to withstand this strain without fracture For example, grey cast iron being somewhat brittle, produces machined chips
that are fragmented (i.e termed ‘discontinuous’),
con-versely, more ductile workpiece materials and alloys such as steels and aluminium grades, tend to produce chips that do not fracture along the ‘shear plane’ , as
a result they are continuous A continuous chip form
may adopt many shapes, either: straight, tangled, or with different types of curvature (i.e helices – see Fig
35a) As such, continuous chips have been significantly
worked, they now have considerable mechanical strength, therefore efficiently controlling and dealing with these chips is a problem that must be overcome
(see the section on Chip-breaking Technology) Chip
formation can be classified in a number of distinct ways, these chip froms will now be briefly reviewed:
• Continuous chips – are normally the result of high cutting speeds and/or, large rake angles (see Figs
26 and 27b) The deformation of workpiece mate-rial occurs along a relatively narrow primary shear zone, with the probability that these chips may de-velop a secondary shear zone at the tool/chip inter-face, caused in the main, by frictional effects This secondary zone is likely to deepen, as the tool/chip friction increases in magnitude Deformation can also occur across a wide primary shear zone with
One of the major cutting tool manufacturer classifies chips in
seven basic types of material-related chip formations, these
are: Continuous, long-chipping – mostly steel derivatives, La-mellar chipping – typically most stainless steels, Short-chip-ping – such as many cast irons, Varying, high-force chipShort-chip-ping – many super alloys, Soft, low-force chipping – such as alu-minium grades, High pressure/temperture chipping – typified
by hardened materials, Segmental chipping – mostly titanium and titanium-based alloys.
Trang 5Figure 27 Chip-breaking inserts and chip control whilst turning – in action [Courtesy of Iscar Tools]
.
Trang 6curved boundaries, with the lower boundary being
below the machined surface (Fig 26), which may
distort a softer workpiece’s machined surface –
par-ticularly with small rake angles and at low speeds
Strain-hardening of this type of chip, results in it
becoming harder than the bulk hardness of the
original workpiece material (see Fig 28c, where the
bulk workpiece hardness is 230 HK and the
work-hardened chip is ≈350 HK) This increase in the
chip’s strength and hardness will depend upon the
shear strain (see Table 4 for details of the
Rheololog-ical status, related to the inclination of the tool’s
rake angle) Therefore as the rake angle decreases,
the shear strain will increase, causing this
con-tinuous chip to become both harder and stronger
– behaving in a similar manner to that of a rigid,
perfectly plastic body In order to satisfactorily deal
with long continuous work-hardened chips, that
could either wrap around the machined workpiece,
potentially spoiling the surface texture, or become
ensnarled around tooling, or even, reduce efficient
coolant delivery to the cutting edge, with integrated
tool chip-breakers having been designed and
devel-oped – see Fig 27b
Rheology is a branch of science dealing with both the flow
and deformation of materials, with the shear strain rate, often
termed just the shear rate (i.e usually quoted in
Pascals-sec-onds ‘Pa-s’)
• Continuous chips with a built-up edge (BUE) – when machining ductile workpiece materials, a built-up edge (BUE) can form on the tool’s tip This BUE con-sists of gradually deposited material layers from the workpiece, hence the term ‘built-up’ (see Fig 28)
As cutting continues, the BUE becomes larger and more unstable, eventually partially breaking away, with some fragments being removed by the under-side of the chip, while the remainder is randomly deposited on the workpiece’s surface (Fig 28a) This process of BUE formation, shortly followed by its destruction, is continuously repeated during the whole cutting operation The BUE deposited on the workpiece will adversely affect the machined sur-face texture The BUE modifies the cutting geom-etry, creating a large cutting tip radius (Fig 28a and b) Due to the BUE being severely work-hardened
by the action of successive deposits of workpiece material, the BUE’s hardness significantly increases
by around 300% over the bulk component hardness (Fig 28c) At this severely work-hardened level, the BUE becomes in effect a modified cutting tool
Nor-mally, an unstable BUE is undesirable, conversely, a thin stable BUE is as a rule, regarded as desirable,
as it protects the top rake surface The formation
mechanism for the BUE is thought to be one of ad-hesion of workpiece material to the tool’s rake face, with the bond strength being a function of the af-finity of the workpiece to that of the tool material
This adhesion, is followed by the successive
build-up of adhered layers forming the BUE Yet another factor that contributes to the formation of a BUE,
Table 4 Strength and hardness of chips when turning mild steel.
[Source: Nakayama and Kalpakjian 1997]
.
Trang 7Figure 28 The development of a continuous chip with Built-Up Edge (BUE), its typical hardness distribution and its affect
on the machined surface
.
Trang 8is the strain-hardening tendency of the workpiece
material Therefore, the greater the
strain-harden-ing exponent, the higher will be its BUE formation
From experiments conducted on BUE formation, it
would seem that the higher the cutting speed, the
less is the tendency for BUE to form Whether this
lack of BUE formation at higher cutting data is the
consequence of increased strain rate, or the result
of higher interface temperatures is somewhat open
to debate However, it would seem that a paradox
exists, because as the speed increases, the
tempera-ture will also increase, but the BUE decreases The
propensity for BUE formation can be lessened by:
I Changing the geometry of the cutting edge –
by either increasing the tool’s rake angle, or
de-creasing the DOC, or both,
II Utilising a smaller cutting tip radius,
III Using an effective cutting fluid, or
IV Any combination of these factors.
• Discontinuous chips – consist of adjacent
work-piece chip segments that are usually either loosely
attached to each other, or totally fragment as they
are cut (Fig 29) The formation of discontinuous
chips usually occur under the following machining
conditions:
I Brittle workpiece materials – these materials
do not have the machining capability to
un-dergo the high shear strains,
II Hard particles and impurities – materials with
these in their matrix, will act as ‘stress-raisers’
and actively encourage chip breakage,
III Very high, or low cutting speeds – chip
veloc-ity at both ends of the cutting spectrum, will
result in lack of adherence/fragmentation of
the chip segments,
IV Low rake angles/large D OC’s – either small top
rakes and heavy DOC’s will decrease the
adher-ence of the adjacent chip segments,
V Ineffective cutting fluid – poor lubricity,
com-bined with a meagre wetting ability, will
en-courage discontinuity of chip segments,
VI Inadequate machine tool stiffness – creating
vibrational tendencies and cutting instability,
leading to disruption of the machining
dynam-ics and loosening of chip segments
As mentioned in ‘Roman II’ above, the hard particles
and impurities tend to act as crack nucleation sites,
therefore creating discontinuous chips Large DOC’s
increase the probability that such defects occur in the cutting zone, thereby aiding discontinuous chip for-mation While, faster cutting speeds result in higher localised temperatures, causing greater ductility in the chip, lessening the tendency for the formation of dis-continuous chips If the magnitude of the compressive stresses in the both the primary and secondary shear zones significantly increase, the applied forces aid in discontinuous chip formation, this is because of the fact that the maximum shear strain will increase, due
to the presence of an increased compressive stress
NB Due to the nature of discontinuous chip
forma-tion, if the workpiece-tool-machine loop is not
suffi-ciently stiff, this will generate vibrational and chatter tendencies, which can result in an excessive tool wear regime, or machined component surface damage
• Segmented chips – are sometimes termed: in-, or
non-homogeneous chips, or serrated chips This
chip form has the characteristic saw-toothed pro-file which is noted by zones of low and high shear strain (Fig 30) These workpiece materials possess low thermal conductivity, as such, when machined their mechanical strength will drastically decrease with higher temperatures This continuous thermal cycle of both fracture and rewelding in a very nar-row region, creates the saw-toothed profile, being particular relevant for titanium and its alloys and certain stainless steel grades For example, to ex-plain what happens in realistic machining situation, the specimen Fig 30a is displayed, for an austenitic stainless steel quick-stop micrograph This micro-graph being the result of a less than continuous ma-chining process (1), utilising a 5° top rake-angled turning insert Here, variations in the cutting pro-cess have created fluctuations in the cutting forces, resulting in waviness of the machined surface (2) Prior to the material yielding, then the shearing process occurring, the workpiece material has de-formed against the cutting edge (3) To explain how changing the top rake angle influences the resul-tant chip formation for an identical stainless steel workpiece material, Fig 30b is shown Machining has now been undertaken with a 15° top rake, pro-moting a more continuous machining process than was apparent with the 5° tool (i.e illustrated in Fig 30a) This more efficient cutting process, results in smaller variations in the cutting forces (1 and 2) The chip is seen to flow over the rake face in a more
Trang 9Figure 29 Discontinuous chip formation [Courtesy of Sumitomo Electric Hardmetal Ltd.]
.
Trang 10consistent manner (3) It was found with this
work-piece material in an experimental cutting
proce-dure, that the tangential cutting force component,
was closer to the actual cutting edge than when
similar machining was undertaken on unalloyed
steel specimens
NB The cutting data for machining the
stain-less steel specimens in Figs 30 a and b, were:
180 m min– cutting speed, 0.3 mm rev– feedrate,
3 mm DOC
2.4 Tool Nose Radius
The insert’s nose radius has been previously mentioned
in Section 2.1.6, concerning: Cutting Tool holder/In-sert Selection Moreover, the top rake geometry of the
cutting insert will significantly affect the chip
forma-tion process, particularly when profile turning In Fig 31a, a spherically-shaped component is being ‘profile machined’ using a large nose-radiused turning insert Here, as the component nears its true geometric cur-vature, the cutting insert forces will fluctuate
continu-Figure 30 Segmented chip formation, resulting from machining stainless steel and the work-hardening zone
– which is affected by the sharpness of the insert’s edge [Courtesy of Sandvik Coromant]
.