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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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 7: Problem 5
(a) Define a slip system. (b) Do all metals have the same slip system? Why or why not?
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeAn uncold-worked brass specimen of average grain size \(0.01 \mathrm{mm}\) has a yield strength of \(150 \mathrm{MPa}(21,750 \mathrm{psi}) .\) Estimate the yield strength of this alloy after it has been heated to \(500^{\circ} \mathrm{C}\) for \(1000 \mathrm{s}\), if it is known that the value of \(\sigma_{0}\) is \(25 \mathrm{MPa}(3625 \mathrm{psi})\).
Experimentally, it has been observed for \(\sin -\) gle crystals of a number of metals that the critical resolved shear stress \(\tau_{\mathrm{crss}}\) is a function of the dislocation density \(\rho_{D}\) as \\[\tau_{\mathrm{crss}}=\tau_{0}+A \sqrt{\rho_{D}}\\] where \(\tau_{0}\) and \(A\) are constants. For copper, the critical resolved shear stress is \(0.69 \mathrm{MPa}\) \((100 \mathrm{psi})\) at a dislocation density of \(10^{4} \mathrm{mm}^{-2}\) If it is known that the value of \(\tau_{0}\) for copper is 0.069 MPa \((10 \mathrm{psi}),\) compute the \(\tau_{\mathrm{crss}}\) at a dislocation density of \(10^{6} \mathrm{mm}^{-2}\)
Briefly cite the differences between recovery and recrystallization processes.
Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross-sectional areas (while maintaining their circular cross sections). For one specimen, the initial and deformed radii are \(15 \mathrm{mm}\) and \(12 \mathrm{mm}\), respectively. The second specimen, with an initial radius of \(11 \mathrm{mm}\) must have the same deformed hardness as the first specimen; compute the second specimen's radius after deformation.
Consider a single crystal of nickel oriented such that a tensile stress is applied along a [001] direction. If slip occurs on a (111) plane and in a \([\overline{1} 01]\) direction, and is initiated at an applied tensile stress of \(13.9 \mathrm{MPa}(2020 \mathrm{psi})\) compute the critical resolved shear stress.
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