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The effective field medium is applied to solution of the homogenization problem for elastic wave propagation in the composites with a random set of spherical inclusions. For isotropic inclusions and isotropic host medium, the solutions of the one-particle problem of the EFM can be found in the form of series of spherical harmonics for any frequency of the incident field. It allows us to obtain the solution of the homogenization problem in the long, middle and short-wave regions. Predictions of the effective field and effective medium methods are compared with available in the literature experimental data.

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

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  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

The effective field medium is applied to solution of the homogenization problem for elastic wave propagation in the composites with a random set of spherical inclusions. For isotropic inclusions and isotropic host medium, the solutions of the one-particle problem of the EFM can be found in the form of series of spherical harmonics for any frequency of the incident field. It allows us to obtain the solution of the homogenization problem in the long, middle and short-wave regions. Predictions of the effective field and effective medium methods are compared with available in the literature experimental data.