conventional machining - 2ramesh/courses/me338/machining2.pdf · major process variables •...
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Conventional Machining - 2
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
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Outline
• Machining basics
• Mechanics of chip formation
• Tool wear and tool life
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Surface finish and integrity
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Machining Basics
• Conventional machining: removal of material
from a workpiece in the form of a chip via
brute force of a sharp cutting tool
chiptool chip
tool
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
chip tool
Orthogonal Cutting Oblique Cutting
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Classification of Conventional Machining
• Cutting processes
– Single point: e.g. shaping, planing, turning, boring, etc.
– Multiple point: e.g. milling, drilling, etc.
• Abrasive processes
– Grinding, honing, etc.
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
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Major Process Variables
• Independent variables– Cutting conditions e.g. feed, speed, depth of cut
– Tool and workpiece materials
– Tool geometry
– Machine tool
– Workholding devices
– Cutting fluids
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– Cutting fluids
• Dependent variables– Chip type
– Cutting forces and energy dissipation
– Temperature rise
– Tool wear
– Surface finish/integrity
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Major Chip Types
• Continuous: ductile metals, thermoplastics
• Continuous with built-up edge (BUE): at low
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Continuous with built-up edge (BUE): at low
cutting speeds
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Major Chip Types
• Segmented: low thermal diffusivity materials,
very hard steels
• Discontinuous: brittle materials
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Discontinuous: brittle materials
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Chip Types-Characteristics
• (a) Continuous chip with narrow primary shear zone– ductile materials at high speed– bad for automation (use chip breakers)
• (b) Secondary shear zone at chip-tool
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• (b) Secondary shear zone at chip-tool interface– increased energy dissipation
• (c) Continuous chip with built up edge (BUE)– high plastic working– bad for automation
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Chip Types
• (d) Continuous chip with large primary shear zone– soft metals at low speeds and low rake angles
– poor surface finish
– residual stresses
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– residual stresses
• (e) Segmented chip– low thermal conductivity materials
• (f) Discontinuous chip– low ductility materials and/or negative rake angles
– good for automation
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Chip Formation - AISI 4340
< 50 100-200
onset at 400
onset> 800
SFPM
50-100> 3200
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
SFPMDiscontinuous
Built-upedge
ContinuousChip
Shearlocalized
chip
Catastrophicshear
Completeseparation
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Piispanen’s Card Model of Continuous Chip
Formation
chip
cutting toolshear plane
Tool-chip friction
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
workpiece
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Major Variables in Orthogonal Cutting
rake face
t0
α
_ +
tc
φ
toolflank face
t0 : undeformed chip thickness
tc : deformed chip thickness
α : rake angle
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
t0 φ
VShear plane
α : rake angle
φ : shear angle
V : cutting speed
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Kinematics of Orthogonal Cutting
workpiece
d
φ
φA C
BO
(φ−α)
( )
shear strain in chip:
cot tanAB AO OB
OC OC OCγ φ φ α= = + = + −
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
α
φ
Vs
V
Vc
( )0
cutting ratio:
sin
cosc
tr
t
φ
φ α= =
−
( )OC OC OC
( )cos cos sin
s cV VV
φ α α φ= =
−
-2 3
shear strain rate:
, where is typically 10 ~ 10 mmsV
dd
γ −=�
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Kinematics of Orthogonal Cutting
Vs = shear velocity (along shear plane)
Vc = chip velocity
• Typical strains, γ = 2~5
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
4 6 -110 ~ 10 sγ =�• Typical strains, γ = 2~5
• Typical strain rates,
• Deformed chip thickness, tc > undeformed
chip thickness, t0 � r < 1
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Forces in Orthogonal Cutting
Knowledge of cutting forces needed for:
– Estimation of power requirements
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– Machine tool design e.g. static/dynamic stiffness
– Part accuracy e.g. tool-workpiece deflections
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Forces in Orthogonal Cutting
Assumptions
– 2-d cutting process � plane strain process � 2-d
force system
– t0 << w (width of cut)
– Infinitely sharp cutting edge
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– Infinitely sharp cutting edge
– Continuous chip with no BUE
– No chip curl
– No tool wear
– Uniform shear and normal stresses along shear plane and tool-chip interface
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Forces in Orthogonal Cutting
R : resultant force
Ft : thrust force
Fc : cutting force
F : friction force
N : normal force
F : shear forceR
Fs
Ns
Ft
FcN
F
R
β
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( )
cos sin
cos sin tan
s c t
n t c s
F F F
F F F F
φ φ
φ φ φ β α
= −
= + = + −
Fs : shear force
Ns : normal force on shear plane
Shear plane decomposition of resultant
force:
Tool-chip interface decomposition of
resultant force:
sin cos
cos sin
c t
c t
F F F
N F F
α α
α α
= +
= −Ns
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Forces in Orthogonal Cutting
R
Fs
Ns
Ft
FcN
F
R
β
Tool-chip interface mean friction:
tantan
tan
t c
c t
F FF
N F F
αµ β
α
+= = =
−
Forces:
( )coss
F R φ β α= + −
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( )
0
0
sin
sin cos sin
ss s
s
s
c tn
s
FF A
A
wtA
F FF
A wt
τ τ
φ
φ φ φσ
= → =
=
+= =
Shear plane stresses:
( )
( )
( )( )
( )( )
0
0
cos
cos
cos
sin cos
sin
sin cos
s
c
c
t
F R
F R
wtF
wtF
φ β α
β α
τ β α
φ φ β α
τ β α
φ φ β α
= + −
= −
−=
+ −
−=
+ −
0
0
c
t
F wt
F wt
∝
∝
Ns
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Merchant’s Force Circle
Ns
F
Fs α
α
φ
β−α
VFc
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Ft
βN
F
R
α
M. Eugene Merchant1913 - 2006
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Cutting With an Oblique Tool
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Figure 20.9 (a) Schematic illustration of cutting with an oblique
tool. (b) Top view showing the inclination angle, i. (c) Types of
chips produced with different inclination.
( )1 2 2sin sin cos sine ni iα α−= +
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Merchant’s Shear Angle Relationship
• Merchant’s theory: shear angle φ assumes a value that minimizes the work done (or cutting force) in metal cutting
• Assuming that β is independent of φ and shear yield stress of the work material is constant, we can show that
( )dF β απ −
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( )1 2C Cφ β α= + −
• OK for plastic but does not hold very well for most metals
• General form of shear angle relationship
( )0
4 2
cdF
d
β απφ
φ
−= ⇒ = −
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Mathematica Solution
Fc =τ Ac Cos@β − αD
Sin@φD Cos@φ + β −αD
D Fc , φDifferentiation of Fc with respect to φ
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
−τ Cos@α − βD Cot@φD Csc@φD Sec@α −β − φD Ac −τ Cos@α− βD Csc@φD Sec@α − β −φD Ac Tan@α − β− φD
FullSimplify@−τ Cos@α − βD Cot@φD Csc@φD Sec@α −β − φD Ac −τ Cos@α− βD Csc@φD Sec@α − β −φD Ac Tan@α − β− φDD
τ I−Csc@φD2 +Sec@α − β − φD2M Ac
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( )( ) ( )
22
0)2(
0)(
)(
)( 22
παβφ
αβφ
αβφφ
φ
αβφφ
αβφ
=−+
=−+
=−+
−−+
−+
Cos
CosSin
Cos
CosSin
Sin
Actual differentiation:
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
22 αβφ =−+
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ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
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ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
![Page 26: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/26.jpg)
Modified Merchant Relationship
σττ k+= 0
C
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Normal stress on shear plane, σ
Shear
Str
ess,τ
C
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Modified Merchant’s Rel. (Contd.)
• From Force Circle,
( )( )
( )
( )sinsin
cossin
sin
cos
αβφφ
αβφφτ
αβφ
αβφ
−+
−+=
−+=
−+=
R
A
R
RN
RF
c
s
s
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( )
( ) ( )
( ))sin()cos(sin
sinsincossin
sinsin
0
0
0
αβφαβφφ
τ
αβφφτ
αβφφ
σττ
αβφφσ
−+−−+=
−++=
−+
+=
−+=
k
AR
A
Rk
A
R
k
A
R
c
cc
c
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Modified Merchant’s Rel. (Contd.)
( ))cos(
)sin()cos(sin
0
αβ
αβφαβφφ
τ
−=
−+−−+=
RF
k
AR
c
c
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( ))sin()cos(sin
)cos(0
αβφαβφφ
αβτ
−+−−+
−=
k
AF c
c
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Mathematica SolutionIn[1]:= Fc =
τ Ac Cos@β− αDSin@φD H Cos@φ + β −αD − k Sin@φ + β− αDL
Out[1]=τ Cos@α − βD Csc@φD Ac
Cos@α− β − φD +k Sin@α − β − φD
In[2]:= D@Fc , φD
Out[2]= −τ Cos@α − βD Csc@φD H−k Cos@α− β − φD +Sin@α − β − φDL Ac
HCos@α − β− φD + k Sin@α −β − φDL2−
τ Cos@α− βD Cot@φD Csc@φD AcCos@α− β − φD +k Sin@α − β − φD
ME 338: Manufacturing Processes II
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In[5]:= FullSimplifyB−τ Cos@α − βD Csc@φD H−k Cos@α− β − φD +Sin@α − β − φDL AcHCos@α − β− φD + k Sin@α −β − φDL2
−
τ Cos@α− βD Cot@φD Csc@φD AcCos@α− β − φD +k Sin@α − β − φDF
Out[5]= −τ Cos@α − βD Csc@φD2 HCos@α − β − 2 φD+ k Sin@α − β − 2 φDL Ac
HCos@α −β − φD + k Sin@α −β − φDL2
In[6]:= SolveBτ Cos@α− βD Csc@φD2 HCos@α −β − 2 φD + k Sin@α− β − 2 φDL AcHCos@α − β −φD + k Sin@α − β− φDL2
0,
φF
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Modified Merchant’s Relationship
• From Mathematica;
( )( ) ( )( )( ) ( )
( )
kSinCos
kSinCos
−+=−+
=−+−−+−
αβφαβφ
αβφαβφ
22
022
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
( )C
kCot
=−+
=−+ −
αβφ
αβφ
2
)(2 1
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ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
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Energy Dissipation in Cutting
Frictional heat + secondary
plastic deformation
Heat due to shear
deformation
Specific shear energy
-3 -2
0
(Jm or Nm )s ss
F Vu
Vwt=
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Specific cutting energy
-3 -2
0
(Jm or Nm )cc
F Venergyu
volume Vwt= =
0Vwt
Specific friction energy
-3 -2
0
(Jm or Nm )cf
FVu
Vwt=
OR c s f c s fu u u P P P≈ + ≈ +
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Energy Dissipation in Cutting
Pc = cutting power = FcV = uc(Vwt0)
Ps = shear zone power = FsVs = us(Vwt0)
Pf = friction zone power = FVc = uf(Vwt0)
• Typically, 60-70% of the energy in metal cutting is
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Typically, 60-70% of the energy in metal cutting is consumed in the shear zone
• Remaining 40-30% is consumed at the tool-chip interface (assuming a perfectly sharp tool)
• Momentum and surface creation energies are negligible
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Example 1
A planing process is being used to machine a 300 mm x 300
mm x 25 mm flat mild steel block as shown in the figure. Thesharp single point cutting tool has a rake angle α = 10°. Otherprocess parameters are as follows: cutting speed V = 2 m/s,undeformed chip thickness t0 = 0.25 mm, width of cut per passw = 2.5 mm, deformed chip thickness tc = 0.83 mm. The cuttingand thrust forces were measured during each pass with a
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and thrust forces were measured during each pass with acutting force dynamometer and found to be as follows: Fc = 890N and Ft = 667 N. (Note: Planing is an orthogonal cuttingprocess). Calculate the percentage of total power dissipated in
the primary zone of deformation (shear zone).
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Example 1 (contd)
Solution:
Pc = FcV = (890)(2) = 1780 W
Ps = FsVs = Rcos(φ+β-α)Vs
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R = NFF tc 2.111222 =+
deg3.17)10sin(*)83.0/25.0(1
)10cos(*)83.0/25.0(
sin1
costan =ϕ⇒
−=
α−
α=ϕ
r
r
deg85.46tan
tantan 1 =
α−
α+=β −
tc
ct
FF
FF Atlernatively,β−α=tan-1(Ft/Fc)
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Example 1 (contd)
Ps = FsVs = 1293.63 W
smV
Vs /986.1)cos(
cos=
α−ϕ
α=
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% of total power dissipated in shear zone =
100 72.6%s
c
P
P× =
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Cutting Temperatures
• Energy dissipated in cutting � converted into
heat in shear zone and tool-chip interface
Heat entering tool
Heat lost to
environment
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• Heat transfer to environment is negligible
Heat entering workpiece
Heat entering tool
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Cutting Temperatures
• Adverse effects of temperature rise in tool
and workpiece
– Increases tool wear
– Harder to achieve part accuracy (due to thermal
expansion of part)
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expansion of part)
– Sub-surface damage (surface integrity)
• Desirable that most of the heat is carried
away by chip
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Cutting Temperatures
• Mean temperature rise of material passing
through shear zone
( )
0
1s
s
P
cVwtθ
ρ
− Γ=
Where Γ = fraction of shear zone heat conducted into workpiece
ρ = density of workpiece material
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• Mean temperature rise of the chip due to
frictional heat from the tool-chip interface
0cVwtρc = specific heat of work material
0
f
f
P
cVwtθ
ρ=
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Example 2
For the problem in Example 1 calculate the mean temperature
rise in the chip if it is given that the power dissipated into theworkpiece per pass of the tool is 200 W. Assume the density ofmild steel is 7200 kgm-3 and specific heat is 502 Jkg-1K-1. Alsoassume that the cutting tool is insulated and no heat is lost tothe environment.
Solution:
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Solution:
Total cutting power, Pc = Ps + Pf
Insulated tool � no heat goes into tool
Total heat dissipated in the chip = Pc – 200 = 1780 – 200 = 1580 W
Mean temperature rise in chip,
0
1580349.71 KT
cVwtρ∆ = =
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Tool Geometry for Single Point Tool
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Wear
• Wear: loss of material from a surface
• Mechanisms
– Adhesive wear
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– Abrasive wear
– Corrosive wear
– Fatigue wear
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Adhesive Wear
• Mechanical wear process; wear particles
generated from the softer of two contacting
surfaces; characterized by metal transfer from
softer to harder body
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• Archard’s wear equation:
3
LNV K
H=
K: wear coefficient
V: volume of wear
L: sliding distance
N: normal load
H: hardness of softer surface
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Abrasive Wear
• Mechanical wear process; loss of material by micro-cutting action
2-body wear
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• Abrasive wear resistance ∝ hardness
3-body wear
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Corrosive Wear
• Chemical wear process; due to chemical
reactions between the surface and
environment (water, oxygen, acids, etc.)
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• Example: solution wear of cemented carbide
cutting tool materials when cutting ferrous
metals at high speeds
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Fatigue Wear
• Loss of material from a surface due to
fracture under cyclic loading conditions
– Mechanical fatigue wear: fracture due to cyclic mechanical loads e.g. spalling in roller bearing races
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– Thermal fatigue wear: fracture due to thermal cycling, e.g. hot forging with cool dies
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Tool Wear and Tool Life
• Problem of economic importance
• Factors affecting tool wear– Tool material
– Workpiece material
– Cutting conditions
– Tool geometry
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• End of tool life can occur by
– Progressive wear of flank and/or rake face of tool
– Catastrophic failure
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Cutting Tool Failure-I
• Progressive wear and catastrophic failure
• Tool Life Criterion determines life of tool
– Flank wear width
– Crater depthWhichever occurs first
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– Crater depth
– Catastrophic failure Whichever occurs first
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Progressive Tool Wear
• Crater wear: wear scar on rake face of tool
Crater wear scar
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• Possible mechanisms: adhesion, abrasion,
diffusion (at high cutting speeds)
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Progressive Tool Wear
• Flank wear: wear scar on flank face of tool
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• Possible mechanisms: adhesion, abrasion
(due to rubbing of flank face against cut
surface)
flank wear scar
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Cutting Tool Failure - III
• ISO Criterion for HSS, WC, Ceramic
– VB = 0.3 for regular
– VBmax = 0.6 for irregular
– Catastrophic
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– KT = 0.06 + 0.3f, f = feed; for carbide tool
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F.W. Taylor’s Contributions
• Metal cutting
• Time / motion studies– Led to Congressional inquiry
and banning of stop watch use by civil servants (1921-1949)
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by civil servants (1921-1949)
• Design of shovels
• Scientific management
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Taylor’s Equation
VTn = C
V = cutting speed
T = tool life
n, C = Taylor constants (empirical)
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n, C = Taylor constants (empirical)
log V
C
n
log T1
F.W. Taylor
n For HSS – 0.1; WC-0.2; Ceramics-0.4
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Progressive Tool Wear-Flank
• Taylor’s tool life curve VTn = C
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Extended Taylor’s Equation
VTnfm=C’
f = feed rate
• For high speed steels:
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• For high speed steels:
V T 0.24 f 0.45 = 23
T= C’ V -4.2 f -1.9
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Taylor’s Equation
Derive Taylor’s equation from data
speed (V)(sfpm) [m/s]
tool life (T)(min)
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600 [3.1] 19.95
700 [3.6] 12.20
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Taylor’s Equation
• VTn@(600 sfpm) = VTn@(700 sfpm)
• 700(12.2)n = 600(19.95)n
• 700/600 = 1.167 = (19.95/12.2)n
• n ≈ 0.31
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• n ≈ 0.31
• C = 600 x 19.950.31 ≈ 1520
• VT0.31 = 1520
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Tool Failure-Crater Wear
– Severe than flank face (Temp, Pressure, wear rate)
– KT can be used as measure
– Taylor like equation can be used
– Tool life due to crater and wearland or flank are
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– Tool life due to crater and wearland or flank are about same
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Groove Formation
• Deep grooves occur with high temperature alloys, soft steels (strain hardening)
• Large groove at free edge
• Temperature-Experimental measurement
• Other reasons
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• Other reasons
– Work hardened layer on previously cut material
– Stress concentration due to stress gradient at free surface
– Burr at edge
– Abrasive oxide layer
– Fatigue at edge
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Tool Failure-Gross Fracture
– Gross Fracture and Edge Chipping are two failure modes
– Interrupted cutting has severe fracture
– More likely at tool leaving then engaging
• Overshoots the equilibrium unloaded condition
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• Overshoots the equilibrium unloaded condition
• Shear plane rotates assuming negative value results in rapid unloading
• Rate of unloading increase with speed
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Tool Failure-Plastic Deformation
• Occurs at High Temperature
• W/P material with poor conductivity
– Temperature accumulation
– Tool tip melting
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– Tool tip melting
– Occurs in Titanium
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Tool Wear Cycle
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Tool Wear Cycle and Maps
• Initial Wear Mechanisms
– Initial contact between two surfaces
– Stresses/heat are intensified at contact with fracture and melting of asperities
– Surface contact increases and visible wear marks
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– Surface contact increases and visible wear marks
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Wear cycle
• Steady State Wear – Velocity and normal stress remain stable
– Crater wear due to diffusion due to transfer of atoms
– BUE formed in some cases; fracture causes
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– BUE formed in some cases; fracture causes attritious/adhesive wear
– Chipping in case of discontinuous chips
– Crack initiation and propagation due to cyclic loading
– Stable abrasion
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Wear Cycle
• Tertiary Wear
– Wear surfaces enlarges to critical size and wear accelerates
– Wear resistant coatings separate causing
accelerated wear
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accelerated wear
– Rapid diffusion/local seizure and melting
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Tool Wear Maps
• Mechanisms under different velocities, contact pressures and feed rate
• At low velocities BUE and adhesion
• Very high velocity diffusion/oxidation
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• At low velocity and high normal pressure seizure takes place
• Safe limits for cratering and fracture can be determined for a combination of tool and W/P.
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Tool Wear Mechanisms
Low speed High speed Very high speed
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Mechanicalproperties
Chemical diffusion andconvection
Chemicaldiffusion
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Wear at Low Speeds
Mechanical Properties
– flow induced crack nucleation and growth
– micro fracture
– fatigue
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– fatigue
– abrasion
• Al2O3 at all speeds
– cutting steel and Ni
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Wear at High Speeds -Chemical Diffusion and Convection
ChipChip flow
Interphase
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Tool atoms
Tool
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Chemical Diffusion and Convection
• Tool dissolves directly into chip
• Convection - chip sliding on surface
– transition between sliding and sticking begins
– maximum heat generation point moves away
from tool tip
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from tool tip
• Net flow of material away from interface
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Wear at High Speeds
• Carbides - super alloys, hard steels
• Al2O3 - Ti
• Carbides, nitrides - steels
• CBN - steels
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72
• CBN - steels
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Wear at Very High Speeds -Chemical Diffusion
ChipChip flow
Interphase
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Tool atoms
Tool
Interphase
![Page 74: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/74.jpg)
Chemical Diffusion
• Transition from sliding to sticking moves
from the nose
– finally sticking occurs everywhere
• Boundary layer builds up
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
74
– no convection directly from tool to chip
– only chemical diffusion through boundary layer of chip material
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Wear at Very High Speeds
• Carbide, diamond - Ti at all speeds
• CBN - super alloys, hard steels
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
![Page 76: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/76.jpg)
ChipChip flow
Dissolution Controls Wear
• Tool atoms diffuse up and are swept away by
the chip at high temps.
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
76
Tool atoms
Tool
![Page 77: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/77.jpg)
Wear Velocity (vwear)
• k =
• c = equilibrium solubility
y
ckDkcvv ywear
∂
∂−=
)(
)(
chip
tool
VmaterialchipofvolumeMolar
VmaterialtoolofvolumeMolar
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
77
• vy = ⊥ bulk velocity of chip at chip-tool
interface
• D = chemical diffusivity
• = concentration gradient
y
c
∂
∂
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Choosing Machining Conditions
• Pick maximum possible depth of cut
• Take maximum feed rate subject to:
– surface finish (see next slides)
– power limitations of machine
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– power limitations of machine
• If you’re power limited, are chips breaking?
• Chips break at f > 0.005”/min (0.13 mm/min)
• Pick cost optimum speed (from Taylor’s Eqn)
![Page 79: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/79.jpg)
Tool Marks
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
![Page 80: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/80.jpg)
(b)(a)
Surface Marks
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Surfaces produced on steel by cutting, as observed with a scanning electron microscope: (a) turned surface and (b) surface produced by shaping. Source: J. T. Black and S. Ramalingam.
![Page 81: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/81.jpg)
Roughness
f = feedr
fRoughnessAA
318
2
≈r
fRoughnesst
8
2
≈
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
f = feed
r = nose radius
AA = arithmetic average
t = peak-to-valley r
f
![Page 82: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/82.jpg)
Surface Texture
(a) (b)(a) (b)
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
(c) (d)(c) (d)
Gray Scale Images of (a) Isotropic finished, (b) Honed,
(c) Turned and (d) Ground surfaces
![Page 83: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/83.jpg)
Surface Texture
• Definition: Periodic and/or random deviations
of a real surface from the nominal surface.
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
Isotropic Surface: random Turned Surface: Periodic
![Page 84: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/84.jpg)
Tool Material Properties
• Main requirements
– Elevated temperature hardness (“hot hardness”)
– Toughness
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– High wear resistance
![Page 85: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/85.jpg)
Cutting Tools
• 1923: Schroter
– WC + Co
• Co wets WC and binds together
• Cemented carbide structure
– Twice the speed of WC
– Not as tough as HSS
WC1-3 µm
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– Not as tough as HSS
• fine grain structure helps
– Machine vibration is problem
• rigid machines help
– Solubility of WC in Fe ≈ 5% Co in between
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Cutting Tools
• 1931: Complex carbides developed
– TiC added to increase chemical stability
– 2x the cutting speed of WC + Co
– lower strength
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– increased wear resistance
![Page 87: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/87.jpg)
Cutting Tools
• 1960’s: Increased cutting speeds
• Powder metallurgy
– production of carbide inserts
– disposable inserts, no resharpening
– coatings feasible: TiC, TiN, Al O
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– coatings feasible: TiC, TiN, Al2O3
• ≈ 5 µm layer to minimize strain
• very wear resistant
• 50-70% of tool life expended before coating penetrated
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Tool Coatings
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
![Page 89: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/89.jpg)
Cutting Tools
• Optimization of bonding between coating and
substrate
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
WC+Co
TiC
TiN
Al2O3
TiN
![Page 90: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/90.jpg)
Cutting Tools
• Aluminum oxide (Al2O3)
– wear resistant, but low strength
• Al2O3 + 30% TiC: hot-pressed
– increased strength 15-30%
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– increased strength 15-30%
– higher speeds - 3-5x of carbides
![Page 91: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/91.jpg)
Cutting Tools
• Si3N4
– high toughness in bulk form
– low thermal expansion
– not for steel, dissolves - fast wear
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Al2O3 + Si3N4 (SiAlON)
– cuts Ni superalloys and steels
![Page 92: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/92.jpg)
Cutting Tools
• Diamond (C)
– HB ≈10,000 kg/mm2
– soluble in steel
– good for aluminumWC
diamonds
1 mm
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– good for aluminum
– good for Si-Al alloys
– 10-40 µm particles are sintered onto a WC substrate ⇒ polycrystalline tool
![Page 93: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/93.jpg)
Cutting Tools
• Cubic Boron Nitride (CBN)
– more stable with respect to steel and Ni
– HB ≈ 4,500 kg/mm2
– cuts very hard steels (10x carbide)
– cuts Ni-based super alloys (10x carbide)
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– cuts Ni-based super alloys (10x carbide)
– wears quickly at low speeds, only good at high speeds
![Page 94: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/94.jpg)
Tool Materials
1. High Speed Steel (HSS)
2. Carbide (WC)
3. Ceramics (Al2O3)
Hot hard
ness
Wear
resis
tance
Toughness
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
4. Polycrystalline Diamond (PCD)/
Cubic Boron Nitride (CBN)
5. Single Crystal Diamond (SCD)
Hot hard
ness
Wear
resis
tance
Toughness
![Page 95: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/95.jpg)
Surface Finish/Surface Integrity
• Surface finish a function of tool geometry
and cutting conditions
• Surface roughness in machining a function of
tool nose radius and feed
• Surface integrity– Sub-surface damage
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
– Sub-surface damage
– Strain hardened layer
– Residual stresses
![Page 96: Conventional Machining - 2ramesh/courses/ME338/Machining2.pdf · Major Process Variables • Independent variables – Cutting conditions e.g. feed, speed, depth of cut – Tool and](https://reader030.vdocuments.mx/reader030/viewer/2022040706/5e0695986a1ec9340f554c46/html5/thumbnails/96.jpg)
Summary
• Shaping & planing
• Turning
• Milling
• Orthogonal vs. oblique cutting
• Chip formation
ME 338: Manufacturing Processes II
Instructor: Ramesh Singh; Notes: Profs.
Singh/Melkote/Colton
• Chip formation
• Kinematics and mechanics of orthogonal cutting
• Temperature analysis
• Tool wear and tool life
• Surface integrity