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Abstract <p>This study examines the reflection characteristics of plane waves in a porous thermoelastic half-space, incorporating the effects of non-local elasticity and the hyperbolic two-temperature (HTT) theory under impedance boundary conditions. A Klein–Gordon-type non-local elastic framework is employed to capture both spatial and temporal scale dependencies inherent in porous media. The energy distribution is analyzed using multiple generalized thermoelastic models, namely the Refined Three-Phase-Lag (RTPL), Simple Three-Phase-Lag (STPL), Dual Phase Lag (DPL), and Lord–Shulman (LS) models. The influences of non-local parameters, two-temperature interactions, and thermal relaxation times on energy partition and reflection coefficients are systematically investigated and graphically illustrated. The results demonstrate that the inclusion of both spatial and temporal non-locality significantly enhances the model’s predictive capabilities. The proposed framework offers a more realistic approach for studying wave propagation in porous thermoelastic materials, with potential applications in biomedical imaging, geophysical exploration, and the non-destructive evaluation of porous media such as bones, tissues, and engineered composites.</p>

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Non-Local Thermoelastic Wave Reflection in Porous Media with Refined Phase Lag and Hyperbolic Temperature Modeling

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • Saurav Sharma,
  • Divya Batra,
  • Rajneesh Kumar

摘要

Abstract

This study examines the reflection characteristics of plane waves in a porous thermoelastic half-space, incorporating the effects of non-local elasticity and the hyperbolic two-temperature (HTT) theory under impedance boundary conditions. A Klein–Gordon-type non-local elastic framework is employed to capture both spatial and temporal scale dependencies inherent in porous media. The energy distribution is analyzed using multiple generalized thermoelastic models, namely the Refined Three-Phase-Lag (RTPL), Simple Three-Phase-Lag (STPL), Dual Phase Lag (DPL), and Lord–Shulman (LS) models. The influences of non-local parameters, two-temperature interactions, and thermal relaxation times on energy partition and reflection coefficients are systematically investigated and graphically illustrated. The results demonstrate that the inclusion of both spatial and temporal non-locality significantly enhances the model’s predictive capabilities. The proposed framework offers a more realistic approach for studying wave propagation in porous thermoelastic materials, with potential applications in biomedical imaging, geophysical exploration, and the non-destructive evaluation of porous media such as bones, tissues, and engineered composites.