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Thixoforming : Semi-solid Metal Processing

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224j 7 A Physical and Micromechanical Model for <strong>Semi</strong>-<strong>solid</strong> Behaviour<br />

Figure 7.1 Photomicrograph of the microstructure of an<br />

Sn–15wt%Pb alloy after water quenching from the semi-<strong>solid</strong><br />

state with 0.6 <strong>solid</strong> fraction. The microstructure reveals a light<br />

primary <strong>solid</strong> phase and a dark eutectic phase corresponding to<br />

the <strong>solid</strong> phase and to the liquid phase present in the semi-<strong>solid</strong><br />

state, respectively.<br />

importance to the active zone where the strain is mainly localized, the material is<br />

represented by a morphological pattern as follows: thanks to the random and<br />

consequently spherical symmetry (isotropic) distribution of the constituents (whatever<br />

the real form of the <strong>solid</strong> and liquid particles ), the coated inclusion is<br />

considered as spherical (Figure 7.2, B). The inclusion is composed of both <strong>solid</strong><br />

and liquid with volume fractions f s l<br />

I and f I , respectively, to represent entrapped liquid<br />

within <strong>solid</strong> particles. It is surrounded by a coating (the active zone) composed of the<br />

<strong>solid</strong> bonds and the non-entrapped liquid with volume fractions f s l<br />

A and f A , respectively.<br />

From this statistical point of view, when the real material is subjected to either<br />

Figure 7.2 (A) Schematic representation of the semi-<strong>solid</strong><br />

microstructure exhibiting the presence of one inclusion of <strong>solid</strong><br />

and entrapped liquid surrounded by a coating of liquid and <strong>solid</strong><br />

bonds. (B) Morphological pattern constituted of a coated<br />

inclusion embedded into a matrix having the effective properties<br />

of the heterogeneous semi-<strong>solid</strong> material.

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