242 solid solution strengthening effects at room temperature. All other things being equal, the tensile strength will depend (approximately) on the tensile strengths of each of the α and β phases as well as their phase fractions in a manner described by the equation given in Problem 9.67 for the elastic modulus. That is, for this problem (TS) alloy ≅ (TS) α V α + (TS) β V β in which TS and V denote tensile strength and volume fraction, respectively, and the subscripts represent the alloy/phases. Also, mass fractions of the α and β phases change linearly with changing composition (according to the lever rule). Furthermore, inasmuch as the densities of both Cu and Ag are similar, weight and volume fractions of the α and β phases will also be similar [see Equation (9.6)]. In summary, the previous discussion explains the linear dependence of the room temperature tensile strength on composition as represented in the above plot given that the TS of pure copper is greater than for pure silver (as stipulated in the
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