Respuesta :
Answer:
The strength coefficient and strain-hardening exponent in the flow curve equation are 92038 and 0.3608.
Explanation:
Given that,
True stress = 37000
True strain = 0.08
Later,
True stress = 55000
True strain = 0.24
Using formula of true stress
[tex]\sigma=K\epsilon^n[/tex]
We need to make a two equation of true stress
Using formula of true stress
[tex]37000=K(0.08)^n[/tex]....(I)
[tex]55000=K(0.24)^n[/tex]....(I)
Dividing equation (II) and (I)
[tex]\dfrac{55000}{37000}=\dfrac{(0.24)^n}{(0.08)^n}[/tex]
[tex]1.4865=(\dfrac{0.24}{0.08})^n[/tex]
[tex]1.4865=3^n[/tex]
Taking ln in both side
[tex]ln(1.4865)=n ln(3)[/tex]
[tex]n=\dfrac{ln(1.4865)}{ln(3)}[/tex]
[tex]n=0.3608[/tex]
We need to calculate the value of strength coefficient
Put the value of n in equation (I)
[tex]37000=K(0.08)^(0.3608)[/tex]
[tex]K=\dfrac{37000}{0.08^{0.3608}}[/tex]
[tex]K=92038[/tex]
Hence, The strength coefficient and strain-hardening exponent in the flow curve equation are 92038 and 0.3608.
