Manufacturing Technologies Flashcards
Define UTS
Ultimate tensile strenght (maximum strenght)
Define true strain
dε = dl/l => έ = Ln(l/l°)
Définie engineering strain
e = Δl/lº
έ = Ln(1+e)
What hypothesis can be made about the volume of a deformed material?
It’s constant
What are the additivity specificities of the strain?
e1+ e2 ≠ e(tot)
ε1 + ε2 = ε(tot)
What are the two basics model for elastic and plastic strenght? In cold conditions
σ=Ε*σ (elastic behavior)
σ= Κε^n (plastic behavior) Holmon’s eq.
How to read the toughness on the σ/ε diagram?
It’s the area under the curve
In the Holmon equation, for metals, n is between ____ and ____
0.05 & 0.6 Øunit
0 -> rigid perfectly plastic
1 -> Elastic
In the Holmon equation, for metals, K is between ____ and ____ unit?
180 MPa (Al) - 2070 MPa (Co)
What is the effect of a temperature increase on the strain and the strenght?
A% increase,
σe and UTS decrease
Define the engineering and the true strain rate
ė = ν/l° engineering strain
dε/dt = ν/l
What is the basic model for the strenght in hot condition?
σ=C(dε/dt)^m
m: strain rate exponent coefficient (0.2-1.0)
C: strength coefficient (10-1000 MPa)
What are the name of the two phenomena (in tensile and compressive state)of shape changes?
Barreling
Necking
What are the specificities of the torsion test?
No friction
High level of strain
Strength gradient
What is the effect of the increase of the strain rate on the strength?
(No effect on strain)
UTS increase with the strain rate
What are the 3 eq. Of the generalized Hook’s law?
ε1 = 1/Ε [σ1 - ν(σ2+σ3)]
ε2 = 1/Ε [σ2 - ν(σ1+σ3)]
ε3 = 1/Ε [σ3 - ν(σ2+σ1)]
What are the generalized Mises-Levy flow rules?
dεi = dέ/σ [σj - 1/2(σj +σk)]
What is the tresca criteria?
It’s a value above the one we observe yielding.
In mohr circle Y=σmin-σmax
k= Y/2
Y: uniaxial yield stress of the material
k: shear yield strenght of the material
Define the VM criteria
Yielding the following equality is satisfied:
(σ1-σ2)^2 + (σ2-σ3)^2 + (σ1-σ3)^2 = 2Υ^2
What become the VM & tresca criteria under plan deformation?
ε2 = 0
σ2 = (σ1 + σ3)/2
σ1 - σ3 = 2/ vΓ(3) * Υ
How is calculated the deformation work?
u= Yf * e1
Where Yf is the average yield stress
or
u = K e1^(n+1)/(n+1)
Work = u * volume
Efficiency of a deformation?
uideal/utotal
Extrusion 30%-60%
Rolling 75%-95%
What is the multiplicative factor between the projected area and the real contact area ?
4-5 order of magnitude lesser
Is the friction model of coulomb usable with any τ and σ? Remind the formula
σ = μ.τ
Only valuable for small τ and σ. After the tresca model is better.