Overview • • • • • • •
Injection Molding ver 1
ENG 4793: Composite Materials and Processes
Equipment Process Flow in barrel Flow in cavity Clamp force Ejection force Design rules
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Equipment Clamp
Mold
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ENG 4793: Composite Materials and Processes
Equipment
Barrel Hopper
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ENG 4793: Composite Materials and Processes
Equipment
Cross-section pellets clamp
nozzle
hopper
barrel
throat
mold cavity
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screw
heaters
ENG 4793: Composite Materials and Processes
motor / drive
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1
Mold
Mold
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ENG 4793: Composite Materials and Processes
Mold
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Process
runner
sprue
cavity
gate
ENG 4793: Composite Materials and Processes
sprue
nozzle
front
ejection pin
side
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Process
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Process
• Pellets placed in hopper • Pellets fall into barrel through throat • Pellets packed to form solid bed
• Melted plastic forms shot in front of screw – screw moves back as plastic moves forward (reciprocating screw)
– air forced out through hopper
• Pellets melted by mechanical shear between barrel and screw
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Process
Process
• Screw moves forward to inject plastic into mold cavity
• Mold opens • Ejection pins move forward to eject part
• Part cools and solidifies
• Mold closes • Process starts again
– next shot is made
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ENG 4793: Composite Materials and Processes
Solid bed
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Melting zone
• Pellets crushed together • Air ejected
• Solid bed melted by mechanical shear barrel
secondary mixing flow ENG 4793: Composite Materials and Processes
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Homogenization zone
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Injection pressure
• Melted polymer is homogenized thermally and color-wise.
ENG 4793: Composite Materials and Processes
screw flight solid bed
• Typically 15,000 psi • Ranges from 3,000 to 40,000 psi • Hydraulic pressure is about 10x less
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3
Process time
Cycle time
Close mold Injection
1
Pack and hold Part cooling
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Cooling 50
25
Pack
Gate freeze off
5
Injection
35
Fast closing
33
Part ejection
Mold closed time Cavity pressure (MPa)
Open and eject part
Pressure history
0 0
5
15
33 35
Time (s) 19
ENG 4793: Composite Materials and Processes
ENG 4793: Composite Materials and Processes
Temperature history
20
Gates and freeze-off
Cooling Part ejection
Pack
gate
Gate freeze off
100
Injection
part Fast closing
Temperature (oC)
200
0 0
5
15
33 35
Time (s) ENG 4793: Composite Materials and Processes
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ENG 4793: Composite Materials and Processes
Minimum cooling time (tc) h2 4 æT −T tc = ln ç M W απ 2 π çè TE − TW
Flow in screw
ö ÷ ÷ ø
• Understood through simple fluid analysis • Unroll barrel from screw
Example: – – – – – –
α = thermal diffusivity ~ 10-7 m2/s h = plate thickness ~ 3 x 10-3 m TW = mold wall temperature ~ 50oC TM = melt temperature ~ 250oC TE = ejection temperature ~ 100oC Minimum cooling time for the center line to reach TE is tc~ 23 sec. ENG 4793: Composite Materials and Processes
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– rectangular trough and lid v=πDN
θ vz
vx B 23
w ENG 4793: Composite Materials and Processes
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Flow analysis
Flow rate
• Barrel slides across channel at the helix angle • vz = pumping • vx = stirring v=πDN
flow rate = f(exit pressure, vbarrel, µ, d, w, l)
θ vz
vx B
• vz shows viscous traction work against exit pressure
w
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ENG 4793: Composite Materials and Processes
Flow analysis
Drag flow (QD) v = vo * y/B QD = vo/2 * wB
• Simplify by using Newtonian fluid • Separate into drag and pressure flows
vo
• Add solutions (superposition)
ENG 4793: Composite Materials and Processes
y
B
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ENG 4793: Composite Materials and Processes
Pressure flow
Pressure flow
τ
( p − ( p + dp ))× 2 y − 2τdz = 0
y 2y
p + dp
p
z
τ = −y
τ dz
dp dz
Newtonian fluid
Equilibrium (p-(p+dp)) * 2y - 2τdz = 0 ENG 4793: Composite Materials and Processes
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τ =µ
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dv dy ENG 4793: Composite Materials and Processes
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5
Pressure flow
Total pressure flow (Qp)
• Eliminating τ
B
− 1 dp ydy dv = µ dz • Integrating and noting
wB 3 dp Q p = w ò vdy = 12 µ dz −B 2
2
@ y = +/- B/2, v = 0
v=
1 dp é B 2 y 2 ù − ú µ dz êë 8 2û 31
ENG 4793: Composite Materials and Processes
ENG 4793: Composite Materials and Processes
Total flow (Q) é vz B
Q = QD − Q p = wê ë
2
f(screw speed)
−
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Flow rate
B 3 dp ù ú 12µ dz û
2ω
flow rate
ω
f(pressure drop) output pressure
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ENG 4793: Composite Materials and Processes
Flow in mold runner (round)
z
dr dz
p + dp
π [(r + dr )2 − r 2 ] dp = 2π [(r + dr )(τ + dτ ) − rτ ]dz Neglecting HOT
p
2πdrdp = 2π (τdr + rdτ )dz
τ
dp τdr + rdτ = dz rdr
Equilibrium
π [(r + dr )2 − r 2 ] dp = 2π [(r + dr )(τ + dτ ) − rτ ]dz ENG 4793: Composite Materials and Processes
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Flow in round runner
τ + dτ r
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Flow in round runner
Flow in round runner
τdr + rdτ = d (τr )
• At center, τ = 0 • At edge of tube (R), τ = max
dτ ∆p τ = − dr 2 L r
τ=
τ max =
∆p r 2L
Newtonian fluid
τ =µ 37
ENG 4793: Composite Materials and Processes
dv dy
ENG 4793: Composite Materials and Processes
Flow in round runner
γ& =
∆pR 2L
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Flow in round runner
du ∆pr = dr 2 Lµ
u=
∆p 2 r − R2 4 µL
(
)
finally
∆p 2 r − R2 u= 4 µL
(
π∆pR 4 Q = ò 2πrudr = 8µL 0 R
) 39
ENG 4793: Composite Materials and Processes
log η
• Typically 50 tons/oz of injected material • Can be approximated by
log ηo n-1
1
– injection pressure x projected area of part at parting line.
log γ&
m, n are consistency and power law index
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Clamp force
Power law viscosity
η (γ& ) = mγ& n−1
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Ejection force
Thin-walled cylinder with closed ends
• Ejection pins force the part out of the mold after the part has cooled and solidified enough. • The part will shrink onto any cores, leading to an interference fit. • Model as a thin walled cylinder with closed ends (plastic part) on a rigid core (metal mold). ENG 4793: Composite Materials and Processes
σt = σa =
pd = σ1 2t pd =σ2 4t
σr = 0 =σ3
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ENG 4793: Composite Materials and Processes
Biaxial strain ε1 =
σ 1 νσ 2 pd pd − = − ν E E 2tE 4tE
ε1 =
pæ d d ö − ν÷ ç E è 2t 4t ø
Ejection force p=
Eα∆T d ö æd − ν÷ ç 2 t 4 t ø è
Fejection =
ε 1 = α∆ T
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Fejection = µpA
µEAα∆T d ö æd − ν÷ ç 2 t 4 t ø è ENG 4793: Composite Materials and Processes
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Gate types
Nomenclature • A = area • d = core diameter • E = Young’s modulus • p = pressure • t = part thickness
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• α = thermal expansion coefficient • ∆T = temperature differential • ν = Poisson’s ratio • µ = friction coefficient
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Fountaining
Effects of gate number and location
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Fiber orientation and effects
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Fiber orientation
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random
60%
30%
90%
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Flash
Weldline development
• Over-filling of the mold forces mold open – inadequate clamp force
• This leads to flash around the edges of the part at the parting line
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Injection Molding Evaluation
Design rules •
• • • •
Walls should be uniform in thickness Walls should be thin Appropriate draft angles should be used Adequate ejection pin area should be used • Simplify molds • Design parting line to get part out • Put weld lines where they don’t matter
Investment
•
– High Capital Equipment – High Tooling
•
Materials – – – –
•
Mostly TP, some TS Mostly short fibers • Mostly < 30 vol % fibers Fibers < 1/2 inch, mostly 1/8 inch
Processing – Very fast (usually < 1 minute) – Low labor – Hazards remote – High pressure ( 2 - 20 ksi injection)
Quality – – – –
Modest properties Defects low Consistent parts Smooth surfaces (both sides)
Products – – – –
High volume Small projected areas Complex contours Low cost
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ENG 4793: Composite Materials and Processes
Summary • • • • • • •
Equipment Process Flow in barrel Flow in cavity Clamp force Ejection force Design rules
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