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<p>The three phase lag (TPL) thermoelasticity theory has been employed in this work to investigate wave propagation in a nonlocal porous medium. The governing wave-type equations are transformed into a homogeneous algebraic system, leading to non-trivial solutions that reveal the dispersion relation linked to propagation speed. From this dispersion relation, three coupled longitudinal waves (P waves, T waves, and V waves) and one transverse wave (SV-wave) are identified. The propagation speed is then plotted graphically. The effects of nonlocality, the heat flux relaxation time parameter and porosity are examined. In addition, the propagation speeds for the TPL and DPL models are examined. The influence of three phase lag (TPL) is investigated and presented via graphical representations. The already existed results in the literature are obtained by neglecting the porosity (void) parameter in the isotropic solid.</p>

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Propagation of plane waves through nonlocal porous isotropic with three phase lag thermoelasticity theory

  • 期刊论文

  • 发表日期：

    2025年8月7日

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  • Sumaira Zaman,
  • Ehtsham Azhar,
  • Hashmat Ali

摘要

The three phase lag (TPL) thermoelasticity theory has been employed in this work to investigate wave propagation in a nonlocal porous medium. The governing wave-type equations are transformed into a homogeneous algebraic system, leading to non-trivial solutions that reveal the dispersion relation linked to propagation speed. From this dispersion relation, three coupled longitudinal waves (P waves, T waves, and V waves) and one transverse wave (SV-wave) are identified. The propagation speed is then plotted graphically. The effects of nonlocality, the heat flux relaxation time parameter and porosity are examined. In addition, the propagation speeds for the TPL and DPL models are examined. The influence of three phase lag (TPL) is investigated and presented via graphical representations. The already existed results in the literature are obtained by neglecting the porosity (void) parameter in the isotropic solid.