Example 1
Prove that uniform strain is equal to the strain hardening
exponent (n)
Example 2
In a tension test of steel, a specimen of circular cross section with original
diameter 9 mm is used. The loads applied were 22 kN and 28 kN which
reduces its diameter to 8.6 mm and 8.3 mm, respectively. Determine
(a) true stress and true strain for given loads
(b) strain hardening exponent and strength coefficient
Example 3
A stress analysis for a metal deformation process gives the state of stress as below:
200
30
0
30
100
0
0
0
−50
If the part is made of aluminium alloy with strength 500 Mpa, will it exhibit yielding
as per Tresca yield criterion and von Mises yield criterion? If not, what is the factor of
safety?
Example 4
Show that the equations for significant stress and strain reduce to the values
for a tensile test.
Example 5
The state of stress at a point given by the stress tensor is
5
3
2
3
10
4
2
4
6
Determine the normal and shear stress components on a plane which is
equally inclined to the three axes