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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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