Chapter 10: Problem 13
In terms of heat treatment and the development of microstructure, what are two major limitations of the iron-iron carbide phase diagram?
Chapter 10: Problem 13
In terms of heat treatment and the development of microstructure, what are two major limitations of the iron-iron carbide phase diagram?
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Get started for freeCompute the rate of some reaction that obeys Avrami kinetics, assuming that the constants \(n\) and \(k\) have values of \(3.0\) and \(7 \times 10^{-3}\), respectively, for time expressed in seconds.
(a) For the solidification of iron, calculate the critical radius \(r^{*}\) and the activation free energy \(\Delta G^{*}\) if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are \(-1.85 \times 10^{9} \mathrm{~J} / \mathrm{m}^{3}\) and \(0.204\) \(\mathrm{J} / \mathrm{m}^{2}\), respectively. Use the supercooling value found in Table \(10.1\). (b) Now calculate the number of atoms found in a nucleus of critical size. Assume a lattice parameter of \(0.292 \mathrm{~nm}\) for solid iron at its melting temperature.
Briefly explain why the hardness of tempered martensite diminishes with tempering time (at constant temperature) and with increasing temperature (at constant tempering time).
Figure \(10.40\) shows the continuous cooling transformation diagram for a \(1.13 \mathrm{wt} \%\) C iron-carbon alloy. Make a copy of this figure and then sketch and label continuous cooling curves to yield the following microstructures: (a) Fine pearlite and proeutectoid cementite (b) Martensite (c) Martensite and proeutectoid cementite (d) Coarse pearlite and proeutectoid cementite (e) Martensite, fine pearlite, and proeutectoid cementite
The kinetics of the austenite-to-pearlite transformation obey the Avrami relationship. Using the fraction transformed-time data given here, determine the total time required for \(95 \%\) of the austenite to transform to pearlite: $$ \begin{array}{lc} \hline \text { Fraction Transformed } & \text { Time (s) } \\ \hline 0.2 & 12.6 \\ 0.8 & 28.2 \\ \hline \end{array} $$
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