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Thixoforming : Semi-solid Metal Processing

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432j 11 Thixoextrusion<br />

shell formation but allowed easier removal of the shell and the discard compared with<br />

uncoated forming dies.<br />

11.5.3<br />

Estimation of the Material Dwell Time Required in the Extrusion Channel<br />

As the first experiments did not show sufficient <strong>solid</strong>ification of the billet material in<br />

the extrusion channel, a first estimation of the <strong>solid</strong>ification time of the material<br />

required in the extrusion channel was performed with a one-dimensional numerical<br />

model also allowing the determination of the influence of the forming die material<br />

(Figure 11.21).<br />

The simulation consists of the stationary billet material with a homogeneous<br />

temperature distribution of 1240 C(fL 10%), a total diameter of 15 mm and a<br />

simplified forming die with an initial temperature of 300 C. By assuming adiabatic<br />

boundary conditions, the time required for the complete <strong>solid</strong>ification of the material<br />

is estimated by transferring the heat from the material into the forming die. The<br />

complete <strong>solid</strong>ification is reached at 1220 C. The forming die material was varied<br />

between the hot working steel X38CrMoV5-1, the copper–beryllium alloy CuCoBe,<br />

the nickel-base alloy TZM and an Si3N4 ceramic to determine their influence on the<br />

<strong>solid</strong>ification time. As shown in Figure 11.22, the time for complete <strong>solid</strong>ification can<br />

be assumed to be 2.5 s using a heat transfer coefficient of 15 000 W m 2 K 1 .<br />

Simulations with higher heat transfer coefficients do not influence the total <strong>solid</strong>ification<br />

time significantly. Lower heat transfer coefficients are not suitable according<br />

to [13]. The <strong>solid</strong>ification time is almost independent of the forming die material.<br />

used For the three metallic forming die materials, the <strong>solid</strong>ification time remains<br />

almost constant. Only the Si3N4 ceramic shows a slower cooling behaviour regarding<br />

longer time periods.<br />

With the simulation shown and a required <strong>solid</strong>ification time of 2.5 s using a<br />

15 mm extrusion channel, the required ratio between the length of the extrusion<br />

channel and the bar extrusion velocity can be estimated as<br />

lchannel<br />

vbar<br />

> t<strong>solid</strong>ification ¼ 2:5s ð11:1Þ<br />

Billet<br />

q<br />

Point of temperature<br />

capture<br />

T B = 1240°C<br />

fL = 10%<br />

T0 = 300°C<br />

Figure 11.21 Schematic diagram of the model for the one-dimensional cooling simulation.<br />

Die

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