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Thixoforming : Semi-solid Metal Processing

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278j 8 Tool Technologies for Forming of <strong>Semi</strong>-<strong>solid</strong> <strong>Metal</strong>s<br />

Figure 8.34 Effect of density on the elastic modulus of alumina films [57].<br />

between density and elastic modulus data for thin films [63–65]. Very good agreement<br />

between the previously published data for thin films and Equation 8.1 can be<br />

observed in Figure 8.34.<br />

Assuming that the alumina thin films discussed here can be represented by<br />

Equation 8.1 with E0 ¼ 441 GPa [56] and b ¼ 3.98 g cm 3 (which is the theoretical<br />

density of non-porous alumina), the film density was estimated based on the elastic<br />

modulus values measured by nanoindentation. The evolution of the density as a<br />

function of NIF is presented in Figure 8.35.<br />

Figure 8.35 Calculated film density and elastic modulus plotted as<br />

a function of normalized ion flux [61].

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