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Abstract <p>While previous studies have examined individual aspects of generalized thermoelasticity, the coupled effects of dual-phase-lag (DPL) heat conduction, micro-temperature, and temperature-dependent thermal conductivity remain unexplored. This work presents the first unified model incorporating all three phenomena to analyze plane wave propagation in a thermoelastic half-space under thermal shock. An analytical solution is developed using normal mode analysis. Numerical simulations for magnesium crystal reveal that: (1) the variable thermal conductivity parameter <i>K</i> dominates wave attenuation, with increasing |<i>K</i>| causing significantly faster amplitude decay; (2) the wave number <i>a</i> amplifies displacement and micro-temperature components while attenuating stresses. These findings offer new insights into energy partitioning and provide design criteria for thermal management where existing models are inadequate.</p>

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Propagation of Plane Thermoelastic Waves in a Half-Space with Variable Thermal Conductivity and Micro-Temperatures

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Maaz Ali Khan,
  • M. A. Aljohani,
  • Adnan Jahangir,
  • Usman Riaz,
  • Emad E. Mahmoud,
  • Raheem Gul,
  • Afzal Rahman

摘要

Abstract

While previous studies have examined individual aspects of generalized thermoelasticity, the coupled effects of dual-phase-lag (DPL) heat conduction, micro-temperature, and temperature-dependent thermal conductivity remain unexplored. This work presents the first unified model incorporating all three phenomena to analyze plane wave propagation in a thermoelastic half-space under thermal shock. An analytical solution is developed using normal mode analysis. Numerical simulations for magnesium crystal reveal that: (1) the variable thermal conductivity parameter K dominates wave attenuation, with increasing |K| causing significantly faster amplitude decay; (2) the wave number a amplifies displacement and micro-temperature components while attenuating stresses. These findings offer new insights into energy partitioning and provide design criteria for thermal management where existing models are inadequate.