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Materials for engineering, 3rd Edition - (Malestrom)

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78<br />

<strong>Materials</strong> <strong>for</strong> <strong>engineering</strong><br />

ageing temperatures correspond to high supersaturation and prolific nucleation<br />

of precipitates occurs, whereas at higher ageing temperatures (lower<br />

supersaturation) fewer, coarser particles are <strong>for</strong>med. The kinetics of precipitation<br />

can be represented by a temperature–time–trans<strong>for</strong>mation (TTT) diagram,<br />

Fig. 3.5. At small undercoolings, there is a long incubation period, due to the<br />

low probability of <strong>for</strong>mation of the (large) critical nucleus (equation [1.6]).<br />

As the supercooling increases, the nucleation rate will increase, since the<br />

critical nucleus size is smaller. The lower the trans<strong>for</strong>mation temperature,<br />

there<strong>for</strong>e, the more prolific the nucleation and the finer the dispersion of<br />

particles. However, the lower the temperature the more sluggish the solid<br />

state diffusion becomes and the TTT curve has a ‘C’ shape indicating a more<br />

sluggish trans<strong>for</strong>mation at low temperature.<br />

Quenching and ageing there<strong>for</strong>e constitute a very powerful means of<br />

controlling the distribution of a precipitate of second phase in an alloy. After<br />

quenching the alloy from the single-phase region of the phase diagram, a<br />

high ageing temperature is selected if a coarse, widely spaced dispersion of<br />

particles is required and a lower ageing temperature is used to produce the<br />

second phase in a more finely divided <strong>for</strong>m.<br />

These precipitates can have a profound effect upon the mobility of<br />

dislocations and it is possible to produce large changes in the yield strength<br />

of such alloys by suitable heat-treatment. A great advantage is that the required<br />

strength can be induced in a product at the most convenient stage in its<br />

manufacture. For example, the alloy may be retained in a soft <strong>for</strong>m throughout<br />

the period when it is being shaped by <strong>for</strong>ging and it is finally hardened by<br />

precipitation in order to give it good strength in service.<br />

T I<br />

Temperature<br />

3.5 A TTT diagram<br />

Nucleation time (log scale)

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