Chapter 6: Problem 34
Briefly cite the differences between the recovery and recrystallization processes.
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Chapter 6: Problem 34
Briefly cite the differences between the recovery and recrystallization processes.
These are the key concepts you need to understand to accurately answer the question.
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Consider a single crystal of some hypothetical metal that has the BCC crystal structure and is oriented such that a tensile stress is applied along a [121] direction. If slip occurs on a (101) plane and in a [111] direction, compute the stress at which the crystal yields if its critical resolved shear stress is \(2.4 \mathrm{MPa}\).
List four major differences between deformation by twinning and deformation by slip relative to mechanism, conditions of occurrence, and final result.
The following yield strength, grain diameter, and heat treatment time (for grain growth) data were gathered for an iron specimen that was heat treated at \(800^{\circ} \mathrm{C}\). Using these data, compute the yield strength of a specimen that was heated at \(800^{\circ} \mathrm{C}\) for \(3 \mathrm{~h}\). Assume a value of 2 for \(n\), the grain diameter exponent. \begin{tabular}{lcc} \hline Grain diameter ( mm) & Yield Strength (MPa) & Heat Treating Time (h) \\\ \hline \(0.028\) & 300 & 10 \\ \hline \(0.010\) & 385 & 1 \\ \hline \end{tabular}
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?
(a) What is the approximate ductility (\%EL) of a brass that has a yield strength of \(345 \mathrm{MPa}\). \((50,000 \mathrm{psi}) ?\) (b) What is the approximate Brinell hardness of a 1040 steel having a yield strength of 620 MPa \((90,000\) psi)?
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