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Time-harmonic axial shear waves in the elastic composites reinforced with cylindrical infinite fibers of the same orientations are considered. The wave problem is reduced to solution of a system of two integral equations for displacement and strain fields in the composite medium. The effective medium and effective field methods are used to derive the dispersion equations for the wave numbers of the mean wave fields propagating in the composite. Asymptotic solutions of the dispersion equations in the long and short-wave regions are obtained. The numerical solutions of the dispersion equations are compared in a wide region of frequencies of the incident field and elastic properties of the host medium and the fibers.

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Propagation of Axial Elastic Shear Waves in Fiber Reinforced Composites

  • 章节

  • 发表日期：

    2026年

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  • Sergey Kanaun,
  • Valery Levin

摘要

Time-harmonic axial shear waves in the elastic composites reinforced with cylindrical infinite fibers of the same orientations are considered. The wave problem is reduced to solution of a system of two integral equations for displacement and strain fields in the composite medium. The effective medium and effective field methods are used to derive the dispersion equations for the wave numbers of the mean wave fields propagating in the composite. Asymptotic solutions of the dispersion equations in the long and short-wave regions are obtained. The numerical solutions of the dispersion equations are compared in a wide region of frequencies of the incident field and elastic properties of the host medium and the fibers.