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Thixoforming : Semi-solid Metal Processing

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154j 5 Thermochemical Simulation of Phase Formation<br />

sample, since the composition will determine at which temperature a certain fraction<br />

of liquid is present. For steels, C will usually have the strongest influence. Therefore,<br />

it makes sense to draw the phase diagram in Figure 5.2 as a function of C content and<br />

not some other element. There are many possible origins of compositional variations.<br />

Each charge will in principle have a different average composition so that billets<br />

coming from different charges have different compositions, but even billets coming<br />

from the same charge can have different compositions due to macrosegregation. The<br />

centre of the billet can have a different composition from the surface region, also due<br />

to macrosegregation or, for example, decarburizing during hot working or heat<br />

treatment. There will also be compositional variations on a local scale due to<br />

microsegregation. These will depend on the <strong>solid</strong>ification and thermal history of<br />

the material. In any case, the average composition of a billet should always be within<br />

the limits defined by the standard for a particular steel grade. Large compositional<br />

variations are also possible in parts produced by semi-<strong>solid</strong> processing due to phase<br />

separation during processing. This is strongly dependent on the processing conditions<br />

and the geometry of the part produced. This is discussed in detail in Chapters 6<br />

and 9. This can lead to strongly varying properties within a produced part.<br />

As far as phase equilibria are concerned, the influence of compositional variations<br />

can be quantified in a straightforward manner. In the following, the influence of the<br />

composition on a number of key points for X210CrW12 is considered. These are<br />

linearized around the standard composition (given in Table 5.1) and given in mass%.<br />

They are roughly valid within the composition limits given by, for example, the DIN<br />

standard. Additionally, some indication of the influence of Mo, V, Ni and Cu is given.<br />

The liquidus is given by:<br />

T L ¼ 1358 C 67D%C 30D%Si 4:8D%Mn 1:3D%Cr 3:8D%W<br />

ð 5:5D%Mo 1:9D%V 4:2D%Ni 7:8D%CuÞ ð5:1Þ<br />

The temperature at which there is 50% liquid is given by:<br />

T 50 ¼ 1285 C 105D%C 31D%Si 7:7D%Mn 1:4D%Cr 7:2D%W<br />

ð 11D%Mo 6:4D%V 6:7D%Ni 12D%CuÞ ð5:2Þ<br />

The temperature where eutectic (M7C3) formation starts is given by:<br />

T M7C3 ¼ 1256 C 18D%C 1:7D%Si 5:3D%Mn þ 6:0D%Cr 2:8D%W<br />

ð 9D%Mo 11D%V 1:8D%Ni 2:7D%CuÞ ð5:3Þ<br />

The corresponding liquid fraction at that temperature is given by:<br />

f L ¼ 38% þ 37D%C þ 9D%Si þ 1:4D%Mn þ 3:0D%Cr þ 2:2D%W<br />

ðþ1:9D%Mo 0D%V þ 2:2D%Ni þ 3:9D%CuÞ ð5:4Þ<br />

The (equilibrium) <strong>solid</strong>us temperature is given by:<br />

T S ¼ 1245 C 34D%C 6:1D%Si 6:8D%Mn þ 6:9D%Cr 4:7D%W<br />

ð 19D%Mo 17D%V 2:8D%Ni 3:7D%CuÞ ð5:5Þ

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