Question

Prove that the true strain at necking equals the strain hardening exponent.

Answer #1

In a bar drawing manufacturing process a2.0” long rod with a
diameter of 0.5” is pulled with a F=6000 lb. force.The diameter
decreases permanently to 0.4”.
Determine:
a.The final length of the rod
b.The true stress and strain at this load.
c. The engineering stress and strain at this load.
d. The stress at which necking occurs.
e. If the length just before necking occurs is 4.0 “ , find the
force at which necking occurs.
Strength coefficient k= 100...

a) Describe stress dilatancy and detail explanation.
b) Describe strain hardening and strain softening.
c) Describe critical state.

For a given alloy, the condition for necking dσ = σ is met at
a true stress of
dε 350 MPa (50.7 ksi) and a true strain of 0.50.
(a) Determine the corresponding values for the ultimate
tensile strength and the engineering strain at necking.
(b) What is the work per unit of volume required to strain
this alloy to the point of necking, assuming that σ = kεn?

Calculate the maximum reduction in cross-sectional area in
frictional wire drawing of a rigid-linearly strain-hardening
material given by σ=25000+20000ε.

The strength coefficient (K) and the work hardening exponent (n)
for a stainless steel were determined during the analysis of the
data from a tensile test using a standard tensile specimen. The
flow curve parameters for the stainless steel are K= 1250 MPa and n
= 0.4. A compression test is performed on a specimen of the
stainless steel. If the starting height and diameter of the
specimen are 80 mm and 18 mm, respectively and the final height of...

1-which one does not correspond to mechanism
strengthening?
a-alloying or dopping with impurities
b-grain-size reduction
c-grain growth
d-strain hardening
2-in polycrystals, the grains with the lowest resolved shear
stress always yields firts.
true or false
3-resolved shear stress is the result of the application of simple
shear stress to a piece of material.
true or false
4-decrease on strain hardening?
a-percent enlogation
b-elastic modulus
c-yield strenght
d-hardness
5-which term is different from other options?
a-strain hardeninh
b-dislocation hardening
c-cold working...

The flow stress curve parameters for a certain stainless steel
are strength coefficient = 1100 MPa and strain-hardening exponent =
0.35. A cylindrical specimen of starting cross-sectional area =
1000mm^2 and height = 75mm is compressed to a height of 58mm.
Determine the force required to achieve this compression, assuming
that the cross section increases uniformly.

Theoretically prove that savings equals investment in a closed
economy.

True or False:
Q1) During direct shear test, vertical strain is measured
while horizontal strain, vertical stress, and horizontal stress are
measured.
Q2) Direct shear testing provides the shear strength
properties of soils under conditions of undrained loading.

1. Use your own words, define engineering strain and true strain
in words and equation
2. What are the mechanical properties you can learn about
materials under tensile tests without an extensometer? (name at
least 2)
3. What 3 properties cannot be accurately measured without an
extensometer?

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