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<p>The present study explores wave propagation in an isotropic, homogeneous thermoelastic half-space governed by the Moore–Gibson–Thompson (MGT) heat conduction model, incorporating both non-local effects and the influence of hyperbolic two-temperature (HTT) theory. A modified system of governing equations is developed, transformed into a two-dimensional, dimensionless form, and subsequently analyzed using the method of reflections. Reflection coefficients for distinct wave modes namely the longitudinal (P-wave), thermal (T-wave), and shear vertical (SV-wave) are derived at the impedance interface. These amplitude ratios are evaluated numerically and presented graphically to illustrate the individual and combined effects of non-locality, HTT parameters, and impedance conditions. Some special cases and particular cases also derived from the present investigation.</p>

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Plane-wave vibrations in thermoelastic medium under Moore-Gibson-Thompson heat equation

  • 期刊论文

  • 发表日期：

    2026年3月17日

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  • Rajneesh Kumar,
  • Sachin Kaushal,
  • Gulshan Sharma

摘要

The present study explores wave propagation in an isotropic, homogeneous thermoelastic half-space governed by the Moore–Gibson–Thompson (MGT) heat conduction model, incorporating both non-local effects and the influence of hyperbolic two-temperature (HTT) theory. A modified system of governing equations is developed, transformed into a two-dimensional, dimensionless form, and subsequently analyzed using the method of reflections. Reflection coefficients for distinct wave modes namely the longitudinal (P-wave), thermal (T-wave), and shear vertical (SV-wave) are derived at the impedance interface. These amplitude ratios are evaluated numerically and presented graphically to illustrate the individual and combined effects of non-locality, HTT parameters, and impedance conditions. Some special cases and particular cases also derived from the present investigation.