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<p>This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.</p>

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On torsional vibrations of infinite axial-symmetric dry and air-saturated poroelastic cylinders

  • 期刊论文

  • 发表日期：

    2025年7月25日

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  • Selene Solorza-Calderón,
  • Jonathan Verdugo-Olachea,
  • Rajitha Gurijala,
  • Jesus Antonio Sauceda-Cazares

摘要

This paper aims to provide analytical equations for the torsional phase velocity of an infinite, isotropic, homogeneous, axial-symmetric, poroelastic cylinder employing stress-free boundary conditions for air-saturated and dry cases. Poroelasticity studies materials with a solid skeleton and a fluid-filled pore space. Usually, it is assumed that when the pore space is filled with air, there is practically no fluid flow within the pores; therefore, this case is considered dry. The analysis of wave propagation in a dry poroelastic cylinder is a reference point for understanding how the presence of some fluid modifies the wave’s behavior compared to the completely dry scenario. This work compares the phase velocities for the dry case and the air-saturated case obtained using the Biot theory, Biot viscosity-extended theory, and elasticity theory. The analytical expression for phase velocity is expressed in terms of the properties of the medium and frequency, with the torsional mode of vibration also appearing as a parameter, allowing us to identify which torsional mode is being excited.