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Thixoforming : Semi-solid Metal Processing

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The description of the yield stress is therefore of central relevance since it defines<br />

when plastic deformation happens. Furthermore, it represents an important parameter<br />

for the calculation of metal forming properties.<br />

At high temperatures, the yield stress is especially dependent on the strain rate.<br />

The viscoplastic constitutive equation describes the velocity dependence of plasticity.<br />

The theory of the viscoplasticity dates back as early as 1922 and was developed by<br />

Bingham [20]. This theory could only be applied to metal forming analyses when the<br />

finite element-method (FEM) was introduced as a modification of the rigid-ideal<br />

plastic model of Levy and von Mises [21].<br />

6.1.4<br />

Experimental Investigations to Determine Model Parameters<br />

Experimental investigations of the rheological behaviour of metallic suspensions<br />

have been conducted in different types of rheometers, which are mainly capillary or<br />

rotational types, and using compression tests. Their range of application for semi<strong>solid</strong><br />

alloys together with advantages and disadvantages are given in Table 6.1.<br />

6.1.5<br />

Experimental Setups<br />

6.1.5.1 Rotational Rheometer<br />

The experiments were performed with two self-developed high-temperature Couette<br />

rheometers – one for aluminium and the other for steel alloys. The steel rheometer<br />

setup is shown schematically in Figure 6.5. The principle setup of the aluminium<br />

rheometer is comparable and given elsewhere [22].<br />

When developing the steel rheometer, the main challenge was device-related,<br />

because a combination of steel and ceramic elements had to be employed in the<br />

rheometer assembly. The measuring device consists of a rotating grooved rod (to<br />

Table 6.1 Advantages and disadvantages of common rheometer<br />

for analysing the rheological behaviour of semi-<strong>solid</strong> alloys.<br />

6.1 Empirical Analysis of the Flow Behaviourj175<br />

Capillary rheometer High shear rates up to 10 000 s 1<br />

Conditions as during thixocasting (fS < 60%)<br />

Dp measurements difficult<br />

Material used is reheated into semi-<strong>solid</strong> state<br />

Rotational rheometer Large variation of experimental procedure possible<br />

(e.g. shear rate jumps, shear stress ramps, creep, oscillation)<br />

Medium shear rates 60%)<br />

No exact viscosimetric flow can be operated with wall slip as<br />

elongation flow or without wall slip as shear flow<br />

Simulation necessary to evaluate experimental data

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