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It has been demonstrated that mathematical models of gradient-elastic medium and reduced Cosserat medium, in contrast to the model of classical deformable solid, allow to describe experimentally observed dispersion of Rayleigh surface wave, i.e. dependence of phase velocity of surface wave on frequency. At the same time, according to the model of gradient-elastic half-space, velocity of surface wave cannot exceed velocity of shear wave, but at certain values of frequency it can reach it. According to reduced Cosserat model, velocity of surface wave exceeds velocity of shear wave, as well as velocity of propagation of surface wave in classical half-space and gradient-elastic half-space.

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On the Velocities of Rayleigh Surface Waves Propagating Along the Houndaries of Generalized Continua

  • 会议论文

  • 发表日期：

    2025年

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  • Vladimir I. Erofeev,
  • Artem M. Antonov,
  • Alexey O. Malkhanov

摘要

It has been demonstrated that mathematical models of gradient-elastic medium and reduced Cosserat medium, in contrast to the model of classical deformable solid, allow to describe experimentally observed dispersion of Rayleigh surface wave, i.e. dependence of phase velocity of surface wave on frequency. At the same time, according to the model of gradient-elastic half-space, velocity of surface wave cannot exceed velocity of shear wave, but at certain values of frequency it can reach it. According to reduced Cosserat model, velocity of surface wave exceeds velocity of shear wave, as well as velocity of propagation of surface wave in classical half-space and gradient-elastic half-space.