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Materials for engineering, 3rd Edition - (Malestrom)

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16<br />

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

1600<br />

C<br />

1500<br />

Liquid (L)<br />

Temperature (°C)<br />

1400<br />

1300<br />

1200<br />

L + S<br />

e<br />

d<br />

b<br />

x<br />

a<br />

T 1<br />

T 2<br />

T 3<br />

1100<br />

Solid solution (S)<br />

1000<br />

0 10 20 30 40 50 60 C 70 80 90 100<br />

Weight<br />

(%Ni)<br />

1.11 Copper–nickel equilibrium diagram.<br />

and is equal to the vertical separation of the liquidus and solidus at a given<br />

composition.<br />

In working from a phase diagram, the beginner should always first consider<br />

some specific composition of alloy and study its behaviour with respect to<br />

change in temperature. There is an important nickel–copper alloy known as<br />

monel, whose retention of strength at high temperatures enables it to be used<br />

<strong>for</strong> turbine blading: its composition is approximately 65 weight per cent<br />

nickel – 35 weight per cent copper, and the vertical line CC in Fig. 1.11 has<br />

been constructed to correspond to this. Let us consider the solidification of<br />

a casting of this alloy, with molten metal being contained within a mould.<br />

Considering a slow progressive decrease in temperature, at temperatures<br />

above T 1 the liquid phase is stable, but at T 1 solidification commences and<br />

the two-phase field (marked L + S in Fig. 1.11) of the diagram is entered. In<br />

any two-phase field of a phase diagram, the compositions of the two phases<br />

co-existing at a given temperature are obtained by drawing a horizontal (or<br />

isothermal) line. The required compositions are given by the intersections of<br />

the isotherm with the phase boundary lines. In the present case, the isotherms<br />

are shown as dotted lines in Fig. 1.11, and, at temperature T 1 , liquid of<br />

composition c starts to freeze by depositing crystal nuclei of solid solution<br />

composition a, obtained by drawing the isothermal line at temperature T 1 in<br />

the two-phase field. As the temperature continues to fall, the loss of this<br />

nickel-rich solid causes the composition of the liquid to become richer in<br />

copper, as denoted by the line of the liquidus, so that when temperature T 2<br />

is reached, the composition of the liquid (given by the new isotherm) is now<br />

seen to be d. The growing crystals, normally in the <strong>for</strong>m of dendrites, Fig.<br />

1.5(a), remain homogeneous, providing the temperature is not falling too

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