Chapter 7: Problem 4
For each of edge, screw, and mixed dislocations, cite the relationship between the direction of the applied shear stress and the direction of dislocation line motion.
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Chapter 7: Problem 4
For each of edge, screw, and mixed dislocations, cite the relationship between the direction of the applied shear stress and the direction of dislocation line motion.
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A single crystal of a metal that has the FCC crystal structure is oriented such that a tensile stress is applied parallel to the \([110]\) direction. If the critical resolved shear stress for this material is \(1.75 \mathrm{MPa}\), calculate the magnitude(s) of applied stress(es) necessary to cause slip to occur on the (111) plane in each of the [1\overline{110], [10\overline{1} ] } \text { and } [ 0 1 \overline { 1 } ] \text { directions. }
Briefly cite the differences between recovery and recrystallization processes.
To provide some perspective on the dimensions of atomic defects, consider a metal specimen that has a dislocation density of \(10^{4} \mathrm{mm}^{-2}\). Suppose that all the dislocations in \(1000 \mathrm{~mm}^{3}\left(1 \mathrm{~cm}^{3}\right)\) were somehow removed and linked end to end. How far (in miles) would this chain extend? Now suppose that the density is increased to \(10^{10} \mathrm{~mm}^{-2}\) by cold working. What would be the chain length of dislocations in \(1000 \mathrm{~mm}^{3}\) of material?
A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of \(28.1^{\circ}\) with the tensile axis. Three possible slip directions make angles of \(62.4^{\circ}, 72.0^{\circ}\), and \(81.1^{\circ}\) with the same tensile axis. (a) Which of these three slip directions is most favored? (b) If plastic deformation begins at a tensile stress of \(1.95 \mathrm{MPa}(280 \mathrm{psi})\), determine the critical resolved shear stress for aluminum.
(a) A single crystal of a metal that has the BCC crystal structure is oriented such that a tensile stress is applied in the \([100]\) direction. If the magnitude of this stress is \(4.0 \mathrm{MPa}\), compute the resolved shear stress in the \([1 \overline{11}]\) direction on each of the \((110),(011)\), and \((10 \overline{1})\) planes. (b) On the basis of these resolved shear stress values, which slip system(s) is (are) most favorably oriented?
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