When an alloy is in a semi-solid state, it is a heterogeneous material simuilar to a suspension where the dominant phase can be taken as the matrix and the minor phase as the inclusion. Typically, first-order scattering theories are considered adequate for describing the wave mechanics of a suspensions when the inclusion concentration levels are low. However, as the concentration is increased, higher ordered scattering theories become necessary. Due to the mathermatical complexities of these methods, many researchers have pursued effective media approaches[1]. It should be noted however, that neither scattering theories nor effective media theories account for dynamic changes in the material state.
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