Plastic- Extrusion of Aluminium Alloys Part 2 Flashcards
Choice of died for case study 1
Flat faced dies with minimal added lubricant are perfectly acceptable and there is no need to use conical dies
Formula for extrusion speed
Vext=R.Vram
Where Vext is the speed at which the extrusion exits the die.
Vram is the ram speed.
R is the extrusion ratio
What does the extrusion ratio determine?
The degree of deformation imparted to the billet
Define the extrusion ratio and five formulae
The ratio of the CSA of the container to the CSA of the extrusion.
R=A0/Ae
Assumes container diameter is the billet diameter. Not true when inserting the billet but true for most of extrusion cycle.
If cylindrical extrusion then R=D0^2/De^2
Describe the geometry of the deformation zone and formula for its volume
A come with an angle of 45°.
Volume is 1/3 x base x height.
πD0^3/24
Volume flow rate of material through deformation zone and how this is used to find time taken for material to pass through the deformation zone
Volume flow rate=Vram.πD0^2/4 (ram velocity times container CSA).
Divide volume of deformation zone by volume flow rate to get time.
t=D0/6Vram
Formula for extrusion strain rate
Take strain (ln(R)) and divide by time.
ε•=ε/t=6.Vram.ln(R)/D0
Define extrusion pressure
Normally defined as the maximum load applied by the press for extrusion to occur divided by the CSA of the billet.
Pe=F/A0
What factors determine the extrusion pressure?
Degree of deformation imparted to the billet.
Friction between billet and container.
Flow stress of material being extruded.
Increasing any of these factors increases the required extrusion pressure.
Formula for extrusion pressure for indirect extrusion (need to know)
P0=σ0(A+B.ln(R))
σ0 is flow stress
A is generally 0.8
B is generally 1.8
R is extrusion ratio
Formula for extrusion pressure for direct extrusion (need to know)
Needs amending to take into account container wall friction.
Pe=P0(1+4μL/D0)
Where P0 is extrusion pressure formula for indirect.
Pe is actual extrusion pressure.
μ is the coefficient of friction between the billet and container.
D0 is container diameter.
L is corrected length of billet after upsetting (changes over extrusion cycle)
Value of extrusion ratio for case study 1
150^2/25^2=36
What is the press capacity for case study 1?
566MPa
Ideal choice for extrusion speed and temperature
Fastest speed at lowest temperature
Choosing between fast and slow cooled material in terms of extrusion pressure
Both σ0 and P0 increase with increasing speed and decreasing temperature. Slow cooled has lower P0 for any combination of speed and temperature. The fastest speed available (35mm/s) with lowest T available (350C) for fast cooled gives P0 greater than press capacity (566MPa) so cant be used. This is not a problem for slow cooled so choose that one
Heat balance for temperature rise during extrusion
Heat generated by deformation - heat transferred to tooling = heat accumulated by material.
0.9Fdx/dt-hA(TB-TT)=mCdTB/dt
F is extrusion load, x is ram displacement, t is time.
h is heat transfer coefficient between tooling and billet.
A is interface area between tooling and billet.
T sub B is billet temp, T sub T is tooling temp, m is mass of billet.
C is heat capacity of billet.
0.9 factor takes into account not all of work done is converted to heat.
What factors affect the temperature rise during deformation?
Anything that increases the load (F) increases the T rise (dTB).
Decreasing tooling temperature (TT) decreases the T rise.
What is the lowest melting point for the fast and slow cooled material?
Fast: 575C
Slow: 550C
Means more combinations of high T and high speed that slow cooled can’t do without localised melting
What do extrusion limit diagrams look like?
Ram speed vs initial billet temperature (constant extrusion ratio) or extrusion ratio vs initial billet temperature (constant ram speed). There are two diagonal lines sloped towards each other (going up). In the region between these lines extrusion is possible. Left of this region extrusion is impossible due to insufficient pressure (press capacity). Right of the region extrusion impossible due to extrude melting.
What factors affect extrusion limit diagrams plotting extrusion ratio against initial billet T?
The operating window is significantly larger for indirect extrusion (higher peak of triangle). The operating window decreases with increasing ram speed (lower peak of triangle).
What are the two energy requirements for extrusion?
Heating the material from room temperature to the extrusion temperature.
Extrude the material.
Total energy required to extrude the material
P+ρC(TB-T(RT))
P is extrusion pressure
ρ is density
T sub B is billet temperature
T sub RT is room temperature
How does billet temperature effect energy costs?
Increasing TB means the energy required to heat increases but the energy required to extrude (P) decreases. However extra energy required for heating far outweighs the reduction in extrusion energy so lower TB leads to lower overall energy costs
Choice of homogenisation treatment, ram speed and temperature
Slow cool
Maximum speed of 35mm/s
350°C