Chapter 8: Problem 25
List four measures that may be taken to increase the resistance to fatigue of a metal alloy.
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Chapter 8: Problem 25
List four measures that may be taken to increase the resistance to fatigue of a metal alloy.
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Give the approximate temperature at which creep deformation becomes an important consideration for each of the following metals: nickel, copper, iron, tungsten, lead, and aluminum,
Steady-state creep rate data are given in the following table for nickel at \(1000^{\circ} \mathrm{C}(1273 \mathrm{~K})\) : $$ \begin{array}{cc} \hline \dot{\epsilon}_{s}\left(\boldsymbol{s}^{-1}\right) & \boldsymbol{\sigma}[\boldsymbol{M P a}(\boldsymbol{p s i})] \\ \hline 10^{-4} & 15(2175) \\ 10^{-6} & 4.5(650) \\ \hline \end{array} $$ If it is known that the activation energy for creep is \(272,000 \mathrm{~J} / \mathrm{mol}\), compute the steady-state creep rate at a temperature of \(850^{\circ} \mathrm{C}\) (1123 K) and a stress level of \(25 \mathrm{MPa}\) (3625 psi).
The fatigue data for a brass alloy are given as follows: $$ \begin{array}{cc} \hline \begin{array}{c} \text { Stress Amplitude } \\ \text { (MPa) } \end{array} & \begin{array}{c} \text { Cycles to } \\ \text { Failure } \end{array} \\ \hline 310 & 2 \times 10^{5} \\ 223 & 1 \times 10^{6} \\ 191 & 3 \times 10^{6} \\ 168 & 1 \times 10^{7} \\ 153 & 3 \times 10^{7} \\ 143 & 1 \times 10^{8} \\ 134 & 3 \times 10^{8} \\ 127 & 1 \times 10^{9} \\ \hline \end{array} $$ (a) Make an \(S-N\) plot (stress amplitude versus logarithm cycles to failure) using these data. (b) Determine the fatigue strength at \(5 \times 10^{5}\) cycles. (c) Determine the fatigue life for \(200 \mathrm{MPa}\).
A specimen of a 4340 steel alloy having a plane strain fracture toughness of \(45 \mathrm{MPa} \sqrt{\mathrm{m}}\) (41 ksi \(\sqrt{\text { in. }})\) is exposed to a stress of 1000 MPa (145,000 psi). Will this specimen experience fracture if it is known that the largest surface crack is \(0.75 \mathrm{~mm}(0.03\) in.) long? Why or why not? Assume that the parameter \(Y\) has a value of \(1.0\).
Three identical fatigue specimens (denoted A, B, and C) are fabricated from a nonferrous alloy. Each is subjected to one of the maximum-minimum stress cycles listed in the following table; the frequency is the same for all three tests. $$ \begin{array}{ccc} \hline \text { Specimen } & \sigma_{\max }(\boldsymbol{M P a}) & \sigma_{\min }(\boldsymbol{M P a}) \\ \hline \mathrm{A} & +450 & -350 \\ \mathrm{~B} & +400 & -300 \\ \text { C } & +340 & -340 \\ \hline \end{array} $$ (a) Rank the fatigue lifetimes of these three specimens from the longest to the shortest. (b) Now justify this ranking using a schematic \(S-N\) plot.
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