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<p>This research aims to utilize the Moore–Gibson–Thompson model of thermoelastic propagation to analyze a thermodynamic problem within a half-space medium subjected to a time-harmonic load. While fractional-order and Green–Naghdi-type models have been applied to anisotropic soils, to our knowledge, no study has systematically examined the effect of both frequency and anisotropic thermal conduction under the MGT framework. We investigate how anisotropy in thermal conductivity and frequency affects the thermal-mechanical response of an anisotropic, fully saturated subgrade using the normal mode method. This approach accelerates the decoupling process and eliminates the need for integration and inverse transformation, thereby simplifying the constraints of numerical inverse transformation. A graphical representation illustrates the relationships among crucial physical variables, including perpendicular displacement, pore water pressure, vertical stress, and temperature distribution. The findings presented can advance geotechnical engineering, especially regarding varying load frequencies and thermal conduction anisotropy coefficients. This will significantly enhance subgrade stability and encourage theoretical research on thermal-hydraulic-mechanical coupling. Furthermore, soil heat transfer, chiefly dependent on thermal conductivity, plays a vital role in numerous practical applications, from groundwater access and ground-source heat pump utilization to heat storage in soil.</p>

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Dynamic Response of Saturated Soil to Anisotropic Thermal Conductivity Impacts Under the Moore‒Gibson‒Thompson Thermoelastic Model

  • 期刊论文

  • 发表日期：

    2025年9月19日

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  • Fawzy A. Mohammed,
  • Ahmed Yahya,
  • Anouar Saidi,
  • Adam Zakria,
  • Husam E. Dargail

摘要

This research aims to utilize the Moore–Gibson–Thompson model of thermoelastic propagation to analyze a thermodynamic problem within a half-space medium subjected to a time-harmonic load. While fractional-order and Green–Naghdi-type models have been applied to anisotropic soils, to our knowledge, no study has systematically examined the effect of both frequency and anisotropic thermal conduction under the MGT framework. We investigate how anisotropy in thermal conductivity and frequency affects the thermal-mechanical response of an anisotropic, fully saturated subgrade using the normal mode method. This approach accelerates the decoupling process and eliminates the need for integration and inverse transformation, thereby simplifying the constraints of numerical inverse transformation. A graphical representation illustrates the relationships among crucial physical variables, including perpendicular displacement, pore water pressure, vertical stress, and temperature distribution. The findings presented can advance geotechnical engineering, especially regarding varying load frequencies and thermal conduction anisotropy coefficients. This will significantly enhance subgrade stability and encourage theoretical research on thermal-hydraulic-mechanical coupling. Furthermore, soil heat transfer, chiefly dependent on thermal conductivity, plays a vital role in numerous practical applications, from groundwater access and ground-source heat pump utilization to heat storage in soil.