Often the properties of multiphase alloys may be approximated by the relation

E (alloy) = EaVa + EbVb

Where Ex and Vx are the modulus (or hardness) and volume filling fraction of the respective phase x.

Employ the relationship above to determine the approximate Brinell hardness of a 99.75 wt% Fe – 0.25 wt% C alloy. Assume Brinell hardness of 80 and 280 for ferrite and pearlite, respectively, and assume that volume fractions may be approximated by mass fractions.

E (alloy) = EaVa + EbVb

Where Ex and Vx are the modulus (or hardness) and volume filling fraction of the respective phase x.

Employ the relationship above to determine the approximate Brinell hardness of a 99.75 wt% Fe – 0.25 wt% C alloy. Assume Brinell hardness of 80 and 280 for ferrite and pearlite, respectively, and assume that volume fractions may be approximated by mass fractions.

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