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<p>A novel mathematical model is derived to investigate the effect of nonlocal and two-temperature parameters on thermomechanical loading in a modified Green–Lindsay (MG–L) generalized thermoelastic half-space. The governing equations are transformed into a dimensionless form and solved using Laplace and Fourier transforms. The study applies thermomechanical sources, such as distributed normal forces or thermal sources, to examine their impact on field variables. In the transformed domain, physical field quantities such as displacement components, stresses, temperature distribution, and conductive temperature are obtained. The equations are then recovered in the physical domain using numerical inversion techniques to display the effect of nonlocal and two-temperature parameters on the field variables through graphs. This study is expected to have practical applications in a range of fields, including geophysics, materials science, engineering, and biothermoelastic materials, particularly in the analysis of deformation and vibration problems. The study also discusses some particular and special cases.</p>

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Thermomechanical Analysis in a Thermoelastic Medium in the Modified Green–Lindsay Theory with Nonlocal and Two-Temperature Effects

  • 期刊论文

  • 发表日期：

    2026年1月1日

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  • Sachin Kaushal,
  • Rajneesh Kumar,
  • Nidhi Arora,
  • Kh. Lofty,
  • Ashok Sharma

摘要

A novel mathematical model is derived to investigate the effect of nonlocal and two-temperature parameters on thermomechanical loading in a modified Green–Lindsay (MG–L) generalized thermoelastic half-space. The governing equations are transformed into a dimensionless form and solved using Laplace and Fourier transforms. The study applies thermomechanical sources, such as distributed normal forces or thermal sources, to examine their impact on field variables. In the transformed domain, physical field quantities such as displacement components, stresses, temperature distribution, and conductive temperature are obtained. The equations are then recovered in the physical domain using numerical inversion techniques to display the effect of nonlocal and two-temperature parameters on the field variables through graphs. This study is expected to have practical applications in a range of fields, including geophysics, materials science, engineering, and biothermoelastic materials, particularly in the analysis of deformation and vibration problems. The study also discusses some particular and special cases.