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The effective medium method is applied to the solution of the homogenization problem for elastic wave propagation in the composites with random sets of spherical inclusions. For spherical isotropic inclusions in an isotropic host medium, the solutions of the one-particle problem of the EMM can be obtained for arbitrary frequency of the incident field. As a result, the method predictions for the velocities and attenuation factors of the mean wave fields can be obtained in long, middle and short-wave regions. The dispersion equation of the EMM and its long and short-wave asymptotic solutions are obtained. Comparisons of predictions of the method for velocities and attenuation factors of the mean wave fields with experimental data are presented.

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Propagation of Elastic Waves in the Medium with Spherical Inclusions. The Effective Medium Method

  • 章节

  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

The effective medium method is applied to the solution of the homogenization problem for elastic wave propagation in the composites with random sets of spherical inclusions. For spherical isotropic inclusions in an isotropic host medium, the solutions of the one-particle problem of the EMM can be obtained for arbitrary frequency of the incident field. As a result, the method predictions for the velocities and attenuation factors of the mean wave fields can be obtained in long, middle and short-wave regions. The dispersion equation of the EMM and its long and short-wave asymptotic solutions are obtained. Comparisons of predictions of the method for velocities and attenuation factors of the mean wave fields with experimental data are presented.