Chapter 7: Problem 34
Briefly cite the differences between the recovery and recrystallization processes.
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Chapter 7: Problem 34
Briefly cite the differences between the recovery and recrystallization processes.
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To provide some perspective on the dimensions of atomic defects, consider a metal specimen with a dislocation density of \(10^{5} \mathrm{~mm}^{-2}\). 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 \(10^{9} \mathrm{~mm}^{-2}\) by cold working. What would be the chain length of dislocations in \(1000 \mathrm{~mm}^{3}\) of material?
A cylindrical specimen of stainless steel having a diameter of \(12.8 \mathrm{~mm}(0.505 \mathrm{in}\).) and a gauge length of \(50.800 \mathrm{~mm}(2.000 \mathrm{in}\) ) is pulled in tension. Use he load-elongation characteristics shown in the ollowing table to complete parts (a) through (f). (a) Plot the data as engineering stress versus engineering strain. (b) Compute the modulus of elasticity. (c) Determine the yield strength at a strain offset of \(0.002\). (d) Determine the tensile strength of this alloy. (e) What is the approximate ductility, in percent elongation? (f) Compute the modulus of resilience.
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 \([\overline{101}]\) direction and is initiated at an applied tensile stress of \(13.9 \mathrm{MPa}\) (2020 psi), compute the critical resolved shear stress.
For a brass alloy, the stress at which plastic deformation begins is \(345 \mathrm{MPa}(50,000 \mathrm{psi})\), and the modulus of elasticity is \(103 \mathrm{GPa}\left(15.0 \times 10^{6} \mathrm{psi}\right)\) (a) What is the maximum load that can be applied to a specimen with a cross- sectional area of \(130 \mathrm{~mm}^{2}\left(0.2 \mathrm{in} .{ }^{2}\right)\) without plastic deformation? (b) If the original specimen length is \(76 \mathrm{~mm}(3.0\) in.), what is the maximum length to which it can] be stretched without causing plastic deformation?
A cylindrical specimen of steel having a diameter of \(15.2 \mathrm{~mm}(0.60\) in.) and length of 250 \(\mathrm{mm}(10.0 \mathrm{in} .)\) is deformed elastically in tension with a force of \(48,900 \mathrm{~N}\left(11,000 \mathrm{lb}_{e}\right)\). Using the data contained in Table \(6.1\), determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Will the diameter increase or decrease?
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