Chapter 9: Phase Diagram

Example 9.3 Page No 273

In [7]:
C1=40.0    # Overall alloy composition
Cb=98.0
Ca=10.0

Wa=(Cb-C1)/(Cb-Ca)
Wb=(C1-Ca)/(Cb-Ca)
d_Sn=7.24        # in g/cm**3  density of tin
d_Pb=11.23       # in g/cm**3  density of lead
Ca_Sn=10.0
Ca_Pb=90.0
Cb_Sn=98.0
Cb_Pb=2.0
d_a=100/((Ca_Sn/d_Sn)+(Ca_Pb/d_Pb))
d_b=100/((Cb_Sn/d_Sn)+(Cb_Pb/d_Pb))
Va=Wa/(d_a*((Wa/d_a)+(Wb/d_b)))
Vb=Wb/(d_b*((Wa/d_a)+(Wb/d_b)))


print"Mass fractions for alpha and beta phases are  respectively",round(Wa,2),"and",round(Wb,2)
print"Density of alpha phase is  ",round(d_a,2),"g/cm**3"
print"Density of beta phase is   ",round(d_b,2),"g/cm**3"
print"Volume fraction of alpha phase ",round(Va,2),"g/cm**3"
print"Volume fraction of beta phase  ",round(Vb,2)

Mass fractions for alpha and beta phases are  respectively 0.66 and 0.34
Density of alpha phase is   10.64 g/cm**3
Density of beta phase is    7.29 g/cm**3
Volume fraction of alpha phase  0.57 g/cm**3
Volume fraction of beta phase   0.43

Example 9.4 Page No 299

In [10]:
C0=0.35
Ca=0.022
C_Fe3C=6.7

Wa=(C_Fe3C-C0)/(C_Fe3C-Ca)
W_Fe3C=(C0-Ca)/(C_Fe3C-Ca)
C_p=0.76
Wp=(C0-Ca)/(C_p-Ca)
W_a=(C_p-C0)/(C_p-Ca)
Wp=(C0-Ca)/(C_p-Ca)
W_a=(C_p-C0)/(C_p-Ca)
Wa=(C_Fe3C-C0)/(C_Fe3C-Ca)
Wae=Wa-W_a

print"Mass fraction of total ferritic phase is",round(Wa,2)
print"Mass fraction of Fe3C is",round(W_Fe3C,2)
print"Mass fraction of Pearlite is",round(Wp,2)
print"ass fraction of proeutectoid ferrite is",round(W_a,2)
print"Mass fraction of eutectoid ferrite is",round(Wae,2)

Mass fraction of total ferritic phase is 0.95
Mass fraction of Fe3C is 0.05
Mass fraction of Pearlite is 0.44
ass fraction of proeutectoid ferrite is 0.56
Mass fraction of eutectoid ferrite is 0.4
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