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The problem of diffraction of long elastic waves on an isolated inclusion in an infinite homogeneous medium (the one-particle problem) is considered. For long incident waves, explicit solutions of the one-particle problems are obtained for inclusions widely used as fillers for composite materials. Ellipsoidal inclusions, elliptical cracks, stiff elliptical flakes and ribbons, and stiff axisymmetric fibers are considered. For such inclusions, efficient algorithms for calculating the total scattering cross sections for longitudinal and transverse waves of arbitrary directions are presented.

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Diffraction of Long Elastic Waves on Isolated Inclusions

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  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

The problem of diffraction of long elastic waves on an isolated inclusion in an infinite homogeneous medium (the one-particle problem) is considered. For long incident waves, explicit solutions of the one-particle problems are obtained for inclusions widely used as fillers for composite materials. Ellipsoidal inclusions, elliptical cracks, stiff elliptical flakes and ribbons, and stiff axisymmetric fibers are considered. For such inclusions, efficient algorithms for calculating the total scattering cross sections for longitudinal and transverse waves of arbitrary directions are presented.