Materials for engineering, 3rd Edition - (Malestrom)
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Structure of <strong>engineering</strong> materials 25<br />
Phase trans<strong>for</strong>mations in the solid state<br />
Changing solid solubility with temperature<br />
Figure 1.20 illustrates this feature in part of a eutectic diagram. Considering<br />
an alloy of composition c, this will solidify to a single-phase solid solution,<br />
α, which is stable only down to temperature T 1 . The line ab is called a ‘solid<br />
solubility’ or ‘solvus’ line and, in the present example, it shows that the<br />
solubility of X in the α phase falls from a value of a% at the eutectic<br />
temperature to b% at the lowest temperature on the ordinate axis.<br />
As the temperature falls below T 1 , the α phase crystals contain more of X<br />
than they would do at equilibrium, that is, they become supersaturated. If<br />
the cooling is slow, crystals of the β phase then <strong>for</strong>m. Initial precipitation<br />
would take place along the grain boundaries of the original α phase – firstly,<br />
because the atoms are more loosely held in the grain boundaries and so<br />
might be expected to ‘break away’ more readily to <strong>for</strong>m the new phase and,<br />
secondly, because the atomic disarray at the α-phase grain boundaries could<br />
help to accommodate any local volume changes associated with the growth<br />
of the new β crystals.<br />
In many systems, the change of solubility with temperature is so great that<br />
the second phase cannot all be accommodated in the grain boundaries of the<br />
primary phase, and precipitation within the primary grains then occurs. This<br />
‘intragranular’ precipitation is usually found to take the <strong>for</strong>m of plates or<br />
needles in parallel array (see Fig. 1.21). This striking geometrical feature<br />
arises from the tendency of the new crystals to grow with their interfaces<br />
aligned parallel with certain definite crystal planes of the primary phase.<br />
These planes will be such that there is a better atomic fit across the α/β<br />
interfaces than if the β phase was randomly distributed inside the α phase.<br />
c<br />
L<br />
α + L<br />
Temperature<br />
T 1<br />
α<br />
a<br />
α + β<br />
b c<br />
%X<br />
1.20 Phase diagram showing decreasing solid solubility in the α-<br />
phase with decreasing temperature.