Chapter 7: Problem 5
(a) Define a slip system. (b) Do all metals have the same slip system? Why or why not?
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Chapter 7: Problem 5
(a) Define a slip system. (b) Do all metals have the same slip system? Why or why not?
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(a) Compare planar densities (Section \(3.11\) and Problem 3.54) for the (100), (110), and (111) planes for FCC. (b) Compare planar densities (Problem 3.55) for the (100), (110), and (111) planes for BCC.
(a) From the plot of yield strength versus (grain diameter) \(^{-1 / 2}\) for a \(70 \mathrm{Cu}-30 \mathrm{Zn}\) cartridge brass, Figure \(7.15\), determine values for the constants \(\sigma_{0}\) and \(k_{y}\) in Equation \(7.7\). (b) Now predict the yield strength of this alloy when the average grain diameter is \(1.0 \times 10^{-3} \mathrm{~mm}\)
Briefly explain why small-angle grain boundaries are not as effective in interfering with the slip process as are high-angle grain boundaries.
The lower yield point for an iron that has an average grain diameter of \(5 \times 10^{-2} \mathrm{~mm}\) is 135 MPa (19,500 psi). At a grain diameter of \(8 \times\) \(10^{-3} \mathrm{~mm}\), the yield point increases to \(260 \mathrm{MPa}\) \((37,500 \mathrm{psi})\). At what grain diameter will the lower yield point be \(205 \mathrm{MPa}(30,000 \mathrm{psi})\) ?
An undeformed specimen of some alloy has an average grain diameter of \(0.040 \mathrm{~mm}\). You are asked to reduce its average grain diameter to \(0.010 \mathrm{~mm}\). Is this possible? If so, explain the procedures you would use and name the processes involved. If it is not possible, explain why.
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