Often, the properties of multiphase alloys may be approximated by the relationship E (alloy) = EV +

Often, the properties of multiphase alloys may be approximated by the relationship
E (alloy) = EαVα + EβVβ (9.24)
where E represents a specific property (modulus of elasticity, hardness, etc.), and V is the volume fraction. The subscripts α and β denote the existing phases or micro constituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.80 wt% Fe-0.20 wt% C alloy. Assume Brinell harnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions.