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A homogeneous elastic medium containing random sets of isolated inclusions is considered. The medium is subjected to a plane monochromatic incident wave whose length is more than the inclusion’s linear sizes. The effective field method is applied to the construction of the effective wave operator governing the mean wave fields propagating in the composite. The equations for the velocities and attenuation factors of the mean wave fields are obtained for the inclusions widely used as fillers for particulate composites.

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Effective Wave Operator for the Medium with a Random Set of Isolated Inclusions

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  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

A homogeneous elastic medium containing random sets of isolated inclusions is considered. The medium is subjected to a plane monochromatic incident wave whose length is more than the inclusion’s linear sizes. The effective field method is applied to the construction of the effective wave operator governing the mean wave fields propagating in the composite. The equations for the velocities and attenuation factors of the mean wave fields are obtained for the inclusions widely used as fillers for particulate composites.