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Thixoforming : Semi-solid Metal Processing

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188j 6 Modelling the Flow Behaviour of <strong>Semi</strong>-<strong>solid</strong> <strong>Metal</strong> Alloys<br />

magnitude of the dynamic yield stress. This enables us to predict the isostructural yield<br />

stress which appears at t ¼ 0. If the curves are extrapolated to zero, the isostructural<br />

yield stress also tends to zero, independent of the <strong>solid</strong> fraction. As a consequence, no<br />

stable particle network exists directly after stirring and therefore semi-<strong>solid</strong> alloys do<br />

not exhibit an isostructural yield stress.<br />

Oscillation Experiments Oscillation experiments are applied in suspension rheology<br />

to gain information about structural changes over a wide range of shear rates. It is<br />

known that these changes depend on particle size. In the case of a metallic<br />

suspension, the occurrence of Ostwald ripening (see above) is used to adjust different<br />

particle diameters at a constant <strong>solid</strong> fraction. The material preparation shown in<br />

Figure 6.4 is stopped after a certain time and oscillation is conducted for about a<br />

30 min. After this, shearing is continued until another oscillation period at a different<br />

particle diameter took place. Oscillation was performed within the linear viscoelastic<br />

regime with an angular velocity of 25 s 1 and an amplitude of 8 mrad for the<br />

sinusoidal shear rate. Quenching experiments at the beginning and end of the<br />

oscillation period showed that particle growth during this time is negligible. The loss<br />

modulus G 00 and the storage modulus G 0 were monitored and the loss angle was<br />

calculated from the phase shift between signal and stimulation.<br />

The development of the storage modulus together with the loss angle is presented<br />

in Figure 6.23. The particle diameter of the metallic suspension was adjusted up to<br />

550 mm. The storage modulus increases with time during the oscillation period. The<br />

loss modulus behaves in the same manner. At the beginning, the slope of the curve is<br />

very high. This is an indicator of rapid structural changes of the material. With time<br />

the slope decreases and approaches a steady-state value.<br />

The loss angle is the ratio between storage and loss modulus. For pure viscous<br />

materials it is 90 and for pure elastic materials it is 0 . Figure 6.24 shows that the<br />

material properties change from a more viscous-like to a more elastic-like flow<br />

Figure 6.23 Influence of particle diameter on the storage modulus<br />

G 0 and the loss angle d. Material: Sn–15%Pb.

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