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1
Manufacturing Technology I
Lecture 3
„„Fundamentals of CuttingFundamentals of Cutting““
Prof. Dr.-Ing. F. Klocke
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Too wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
2
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
Example: turning of steel, roughing
source: Widia
3
Example: turning of steel, finishing
source: Widia
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
4
chip wedge
h
workpiece face flank
h chip thickness(prior to chip removal)
depth of cut(after chip removal)
hch
clearance angleαααα0
leading edge angleββββ0
effective cutting angleγγγγ0
hch
γγγγ0
ββββ0
αααα0
direction of cut
Terms at a simple cutting part
thickness of cut
chip thickness
tool orthogonal rake
tool orthogonal wedge angle
tool orthogonal clearance
( before deformation )
( after deformation )
transient surface
shaft
face
minor cutting edge
direction of cut
direction of feed
main cutting edge
face chamferof the major cutting edge
flank chamfer of the major cutting edge
main flank
cutting edge corner,with corner radius
minor flank
land of the minorcutting edge flank
Cutting edges and surfaces on the cutting part of a turning tool
source: ISO 3002/1
major cutting edge
shank
major first face
major first flank
major second flank
corner
minor second flank
minor first flank
major second face
5
Tool-in-hand system
source: ISO 3002/1
assumed
working plane Pf tool cutting edge
normal plane Pn
tool cutting edge
plane Ps
tool orthogonal plane Po
tool plane of
reference Pr
assumed direction of primary motion
tool back plane Pp
assumed direction of
feed motion
tool referenceplane Pr
base
selected point onthe cutting edge
tool referenceplane Pr
assumed directionof feed motion
Tool-in-use system
source: ISO 3002/1
working plane Pfe
direction of feed
motion
direction of primary motion
Wirk-Rückebene
Ppe
working cutting edge
normal plane Pne = Pn
selected point onthe cutting edge
working referenceplane Pre
plane containing
base of tool
working cutting
edge plane Pse
working orthogonal
plane Poe
resultant cutting direction
direction offeed motion
working reference
plane Pre
resultant cutting direction
direction of primary motion
working plane Pfe
6
Engagement in longitudinal cylindrical turning
thickness of cut
cross-sectional area
primary motion
Angles at a selected point on the cutting edge
source: ISO 3002/1
direction of primary motion tool reference plane Pr
section C-D
assumed
working
plane Pf
section E-F
tool
referenceplane Pr
section A-B
selected point onthe cutting edge
major
cutting edge
section Z
tool referenceplane Pr
tool back plane Pp
tool cutting edge
inclination
7
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
Chip formation
transient
surface
trace of the
shear plane
shear zone
material
cutting material
cross-sectional area
8
Strain rates of different manufacturing processes
strain rate
Superplastic Forming
Deep Drawing
Hot Rolling
Cold Rolling
Bar- and Tube-Drawing
High Speed Forging
Wire-Drawing
Explosive Forming
Split-Hopkinson-Bar-Test
Cutting
Process:
s/
1 ϕ&
410
−510
−1
110
210
310
− 210
− 110
− 310
410
510
610
710
strain tensor:
⋅
⋅=⋅
yxy
xyx
xy εγ
γεε
2
22
Calculation of the strain rate
⋅
⋅=⋅
yxy
xyx
ij εγ
γεε
2
22
oxy γψΦγ −+=
strain rate
x
vxx
∂
∂=ε&
shearing strain rate
y
vy
y∂
∂=ε&
z
vz
z∂
∂=ε&
x
v
y
v yxxy
∂
∂+
∂
∂=γ&
y
v
z
vzy
yz∂
∂+
∂
∂=γ&
z
v
x
v xzzx
∂
∂+
∂
∂=γ&
rate
of
de
form
ati
on
chvr
cvr
tool
workpiece
oγψΦ −+
yu
0x
h
chh
xu
xF
chx
yF
0=
=−+
ξ
γψΦch
xo
h
uarctan
strain tensor:
h
chh
hch
y
chx
h
h
x
x
λε
ε
==
=0
The outcome of the time derivation
is the strain rate!
workpiece
too
l
source: Leopold
ψ
Φ
hy lnt
λϕ∂
∂⋅= 2&
∂
∂⋅=
0
2x
xln
t
chxϕ&
⋅−+
−+⋅=
⋅−+
−+⋅
=⋅ho
ol
cho
och
xyln
ln
h
hln
x
xln
λγψΦ
γψΦλ
γψΦ
γψΦϕ
2
2
2
2
2 0
9
Types of chip formation
continuous chip segmented chip shearing chip
• very equal metallogra-
phic structure
• local hard deformed metallogra-
phic structure• local nearly no deformed metal-
lographic structure
• fractional seperation of segments
Which type of chip formation is existent, is generally affected by the friction on the face.
• local hard deformed me-
tallographical structure• local nearly no defor-
med metallographic
structure
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
10
Conditions of the cutting process
chip velocity
g
compressive
stress
shearing
stress
stress
characteristics
average shearing stress
average compressive stress
Components of the total force
primary motion
total force
back force
direction of feed motion
11
Influence of parameters on the components of the total force
back force Fp
depth of cut ap
blue brittleness
adhesion
Fc1.1‘ = 890 N/mm
thickness of cut h/mm
Cu
ttin
g f
orc
e F
c
wid
th o
f cu
t b
Fc‘/ N
/mm
Graphical determination of the parameters Fc1.1’ and (1-mc)
12
Distribution of effective work during the cutting process
source: Vieregge
7000
5000
4000
3000
2000
1000
Nm
wo
rkW
material
width of cut b
tool orthogonal clearance ααααo
tool orthogonal rake γγγγo
Distribution of heat and temperature in workpiece, chip and tool
m,
KmmK
TLL HS
µ
∆α∆
69
400 41
1066
=
⋅⋅⋅=
⋅⋅=
−
material
thickness of cut
tool orthogonal rake
chip
13
aluminium steel / titaniumfeed 0,25 mm 0,1 mmdepth of cut 2 mm 1 mm
0
100
200
300
N
500
cu
ttin
g f
orc
e F
cForce components and chip temperatures in turning
tem
pera
ture
cutting speed
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms of the cutting process
� Summary
14
Influence exerted by cutting edge geometry on machining parameters
low minimum thickness of cut
low:rn
to
decreasing weardecreasing
wear
to
to
to
decreasing wear
reduced chatter vibrations
lower cutting force
reduced theprobability
of chatter
vibrations
controlled
chip flow
increasing back
force and cutting
part stability
better surface
integrity
major first face
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms
� Summary
15
Types of tool wear and tool wear measurements
flank wear land
major flank wear land
tool orthogonal clearance
tool orthogonal rake
width of flank wear land
KF crater front distance
cutting edge offset in face
direction
cutting edge offset in flank
direction
c minor flank wear land
KF
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads to which the cutting part is exposed
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms in cutting processes
� Summary
16
Wear mechanisms in cutting processes
source: Vieregge
abrasion
oxidation
Comb and transverse crack formation in milling operations
source: Lehwald, Vieregge
width of flank wear land
17
Plastic deformation of the cutting edge
work material Ti Al 6V 4
tool material HS18 - 1 - 2 - 10
cutting speed vc = 8 m/min
cross-sectional area of cut ap·f=1,5 x 0,25 mm2
cutting time tc=1 min, cycles-to-failure N = 33 · 103
20 µm
α0γ0 λs χr εr rε
5o 8o -4o 75o 90o 0,5mm
cutting part geometry
8° 10° -4° 90° 60° 1 mm
α0 γ0 λ0 ε0 κ0rε
cutting part geometry
cutting time tc = 30 min
Flank wear and formation of build-up cutting edge
vc = 2 m/min
vc = 10 m/min
vc = 20 m/min
0,1 mm
vc = 30 m/min vc = 40 m/min
HW-P30
formation of
build-up cuttingedges
wid
th o
f fl
an
k w
ear
lan
d
sλ rε εrrκoα oγ
18
Flank wear at turning tools
cutting part geometry
cutting time tc = 30 min
material Ck53N
cutting material HS12-1-4-5
depth of cut ap=2mm
cutting speed vc
wid
th o
f fl
an
k w
ear
lan
d V
B
α0γ0 λs χr εr rε
8o 10o -4o 90o 60o 1 mm
f = 0,4 mm
f = 0,25 mm
f = 0,1 mm
0,24
0,20
0,16
0,12
0,08
0,04
04 7 10 20 40 m/min 100
mm
steel C10steel Ck53
cemented carbide P30cemented carbide P30
Zone A: Fe-Co-MK
chip
tool
solution of WC to:
C CFe Co
A
B
TiC - WC (TaC/NbC)
Co – WC - solid solutionFe3W3C; (FeW)6C; (FeW)23C6 Zone B: Co-Fe-MK
Simplified representation of diffusion process in cemented carbide tools
case hardenedquenched and tempered
19
Oxidation zones of a cemented carbide turning tool
oxidation
face
oxidation zones
flank
material Ck53N
cutting material HC-P30cutting speed vc = 125 m/min
cross-sectional area ap · f = 3 · 0,25 mm²
cutting time tc = 20 min
Structure of the lecture
� Examples: turning of steel
� The cutting part - Terms and symbols
� The cutting operation
� Loads of the cutting part
� Influences exerted by the geometry of a cutting part on its characteristics under load
� Tool wear
� Types of tool wear and tool wear measurements
� Wear mechanisms in cutting processes
� Summary
20
� Identify the different cutting edges and areas of a turning tool!
� Specify and explain the angles for determination of the orientation and shape of the cutting part!
� Specify the types of chip formation and explain their development!
� In which plane do you measure the tool angles?
� List the orthogonal components of the total force!
� Illustrate qualitatively the dependence of feed, cutting speed, cutting depth and tool cutting edge angle on the total force components! Explain the dependence!
� Specify an empirical force equation and explain the characteristic parameters!
� Where can you identify heat sources during chip formation and how dissipates the major heat? Please identify the place of the highest cutting temperature?
List of questions I
� Specify the influencing factors for choosing the geometry of the cutting part!
� How to increase the stability of the cutting edge?
� Specify the influencing variables to reduce the probability for chatter vibrations!
� Identify and explain the types of tool wear at the cutting part!
� Signify the major tool wear measurements!
� Specify the wear mechanisms and indicate their dependence of the cutting speed.
� Explain comb and transverse crack formation!
� Illustrate the term „built-up edge formation“ and explain the progression of the flank wear land and the surface roughness dependent on the cutting speed!
List of questions II