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The variation of aluminum shear modulus with the melting-mass fraction in the solid-liquid mixed phase has been estimated by the percolation theory. With the total number of calculated sites from 0.125×106 to 8.0×106, it is shown that there are two critical points corresponding to the melting-mass fraction 0.313 and 0.687, respectively. At the critical point 0.313, the longitudinal sound velocity begins to attenuate to bulk sound velocity and completely attenuates to bulk sound velocity at the critical point 0.687. This is in accord with previous independent and our sound velocity data of aluminum in the solid-liquid phase, and suggests a different interpretation of shock sound speed data for melt mass fraction.
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Ran et al. (2008) studied this question.
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