Objective <p>The propagation of horizontally polarized shear (SH) waves in a multilayered composite structure resting on a heterogeneous half-space is investigated. The model consists of temperature-dependent viscoelastic, fiber-reinforced viscoelastic, and initially stressed porous layers.</p> Methods <p>The governing equations are formulated within the framework of coupled dynamical theory and solved analytically using the method of variable separation for the finite layers, while the Whittaker characteristic function is employed for the heterogeneous half-space. By enforcing appropriate interfacial boundary conditions, a closed-form dispersion relation for SH-wave propagation is derived. The effects of thermal gradient, dissipation, fiber reinforcement, porosity, initial stress, and heterogeneity on phase velocity, damped velocity, and attenuation are examined numerically.</p> Conclusions <p>The results demonstrate that thermal and viscoelastic effects significantly reduce wave speed and enhance attenuation, while reinforcement and porosity strongly regulate dispersion characteristics. The study provides insight into SH-wave propagation in thermally affected layered composite structures.</p>

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SH-Wave Dispersion in Multilayered Viscoelastic Media Incorporating Temperature-dependents, Reinforcement, Porosity, and Heterogeneity Effects

  • Mohammad Arif,
  • Parvez Alam,
  • Tabinda Nahid,
  • John Stephen Mario A

摘要

Objective

The propagation of horizontally polarized shear (SH) waves in a multilayered composite structure resting on a heterogeneous half-space is investigated. The model consists of temperature-dependent viscoelastic, fiber-reinforced viscoelastic, and initially stressed porous layers.

Methods

The governing equations are formulated within the framework of coupled dynamical theory and solved analytically using the method of variable separation for the finite layers, while the Whittaker characteristic function is employed for the heterogeneous half-space. By enforcing appropriate interfacial boundary conditions, a closed-form dispersion relation for SH-wave propagation is derived. The effects of thermal gradient, dissipation, fiber reinforcement, porosity, initial stress, and heterogeneity on phase velocity, damped velocity, and attenuation are examined numerically.

Conclusions

The results demonstrate that thermal and viscoelastic effects significantly reduce wave speed and enhance attenuation, while reinforcement and porosity strongly regulate dispersion characteristics. The study provides insight into SH-wave propagation in thermally affected layered composite structures.