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<p>This study investigates the propagation of thermoelastic waves in a double-porosity semiconducting medium under hydrostatic initial stress using the Lord–Shulman generalized thermoelasticity model combined with the two-temperature theory and the dual-phase-lag heat conduction law. The coupled effects of thermal, elastic, and porous properties are analyzed to explore wave dispersion, attenuation, and phase velocities. Governing equations are formulated using the two-temperature thermoelasticity theory and DPL model, incorporating dual porosity for enhanced microstructural interactions. Analytical solutions are derived to examine the influence of hydrostatic stress, two-temperature parameters, and phase lags on wave propagation characteristics. Numerical simulations illustrate the dynamic response, highlighting the role of porosity and semiconducting properties in modulating thermoelastic waves. The results provide insights into the behavior of advanced materials under thermomechanical loads, with potential applications in geomechanics, semiconductor devices, and porous material engineering.</p>

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Two-Temperature Thermoelastic Wave Propagation in a Double-Porosity Semiconductor Using the DPL Model with Initial Hydrostatic Stress

  • 期刊论文

  • 发表日期：

    2026年7月18日

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  • Imed Kedim,
  • Taoufik Moulahi,
  • Ramdan. S. Tantawi,
  • E. S. Elidy

摘要

This study investigates the propagation of thermoelastic waves in a double-porosity semiconducting medium under hydrostatic initial stress using the Lord–Shulman generalized thermoelasticity model combined with the two-temperature theory and the dual-phase-lag heat conduction law. The coupled effects of thermal, elastic, and porous properties are analyzed to explore wave dispersion, attenuation, and phase velocities. Governing equations are formulated using the two-temperature thermoelasticity theory and DPL model, incorporating dual porosity for enhanced microstructural interactions. Analytical solutions are derived to examine the influence of hydrostatic stress, two-temperature parameters, and phase lags on wave propagation characteristics. Numerical simulations illustrate the dynamic response, highlighting the role of porosity and semiconducting properties in modulating thermoelastic waves. The results provide insights into the behavior of advanced materials under thermomechanical loads, with potential applications in geomechanics, semiconductor devices, and porous material engineering.