Chapter 6: Problem 20
List four major differences between deformation by twinning and deformation by slip relative to mechanism, conditions of occurrence, and final result.
Chapter 6: Problem 20
List four major differences between deformation by twinning and deformation by slip relative to mechanism, conditions of occurrence, and final result.
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Get started for freeConsider a hypothetical material that has a grain diameter of \(2.1 \times 10^{-2} \mathrm{~mm}\). After a heat treatment at \(600^{\circ} \mathrm{C}\) for \(3 \mathrm{~h}\), the grain diameter has increased to \(7.2 \times 10^{-2} \mathrm{~mm}\). Compute the grain diameter when a specimen of this same original material (i.e., \(d_{0}=2.1 \times 10^{-2} \mathrm{~mm}\) ) is heated for \(1.7 \mathrm{~h}\) at \(600^{\circ} \mathrm{C}\). Assume the \(n\) grain diameter exponent has a value of 2
Experimentally, it has been observed for single crystals of a number of metals that the critical resolved shear stress \(\tau_{\mathrm{crs}}\) is a function of the dislocation density \(\rho_{D}\) as $$ \tau_{\text {crss }}=\tau_{0}+A \sqrt{\rho_{D}} $$ where \(\tau_{0}\) and \(A\) are constants. For copper, the critical resolved shear stress is \(0.69 \mathrm{MPa}\) (100 psi) at a dislocation density of \(10^{4} \mathrm{~mm}^{-2}\). If it is known that the value of \(\tau_{0}\) for copper is \(0.069 \mathrm{MPa}\) (10 psi), compute \(\tau_{\mathrm{crss}}\) at a dislocation density of \(10^{6} \mathrm{~mm}^{-2}\).
A cylindrical rod of steel \(\left(E=207 \mathrm{GPa}, 30 \times 10^{6}\right.\) psi) having a yield strength of \(310 \mathrm{MPa}(45,000\) psi) is to be subjected to a load of \(11,100 \mathrm{~N}\) (2500 lb_{f } ). If the length of the rod is \(500 \mathrm{~mm}\) (20.0 in.), what must be the diameter to allow an elongation of \(0.38 \mathrm{~mm}(0.015 \mathrm{in} .)\) ?
An undeformed specimen of some alloy has an average grain diameter of \(0.050 \mathrm{~mm}\). You are asked to reduce its average grain diameter to \(0.020 \mathrm{~mm}\). Is this possible? If so, explain the procedures you would use and name the processes involved. If it is not possible, explain why.
Two previously undeformed specimens of the same metal are to be plastically deformed by reducing their cross-sectional areas. One has a circular cross section, and the other is rectangular; during deformation, the circular cross section is to remain circular, and the rectangular is to remain rectangular. Their original and deformed dimensions are as follows: \begin{tabular}{lcc} \hline & Circular \((\) diameter, \(\boldsymbol{m m})\) & Rectangular (mm) \\ \hline Original dimensions & \(18.0\) & \(20 \times 50\) \\ \hline Deformed dimensions & \multicolumn{1}{c}{\(15.9\)} & \(13.7 \times 55.1\) \\\ \hline \end{tabular} Which of these specimens will be the hardest after plastic deformation, and why?
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