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Background <p>This work investigates the influence of an inclined mechanical load on wave propagation in a linearly micropolar thermoelastic material in the context of the refined Green–Naghdi (G–N) theory. The study is motivated by the need for accurate modelling of materials with internal length scales, such as granular composites, lattice structures, and microstructured solids, where microrotation effects and non-Fourier heat conduction phenomena cannot be adequately described by classical thermoelasticity.</p> Methods <p>The coupled partial differential equations are analyzed by employing the normal-mode analysis technique, which transforms the problem into a system of ordinary differential equations in a single spatial variable. The unknown constants in the general solutions are obtained by rigorously enforcing the relevant boundary conditions, ensuring physical consistency at the medium surface.</p> Results <p>The temperature, microrotation, stress components, and displacement fields are derived in explicit parametric forms in terms of the material properties, wave numbers, and loading characteristics. To highlight the role of the inclined load on the dynamic response, the refined G–N predictions are compared with those of the classical G–N model.</p> Conclusions <p>The wave propagation in micropolar thermoelastic media under inclined loading is better described by the improved G–N theory. Comparison with the classical models emphasizes the importance of refined thermal and rotational effects in modeling microstructured materials.</p>

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Influence of Inclined Loads on a Micropolar Thermoelastic Medium Applying a Refined Phase Lags G–N III Model

  • 期刊论文

  • 发表日期：

    2026年5月22日

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  • Ashraf M. Zenkour,
  • Tareq Saeed,
  • Hanin A. Alosaimi

摘要

Background

This work investigates the influence of an inclined mechanical load on wave propagation in a linearly micropolar thermoelastic material in the context of the refined Green–Naghdi (G–N) theory. The study is motivated by the need for accurate modelling of materials with internal length scales, such as granular composites, lattice structures, and microstructured solids, where microrotation effects and non-Fourier heat conduction phenomena cannot be adequately described by classical thermoelasticity.

Methods

The coupled partial differential equations are analyzed by employing the normal-mode analysis technique, which transforms the problem into a system of ordinary differential equations in a single spatial variable. The unknown constants in the general solutions are obtained by rigorously enforcing the relevant boundary conditions, ensuring physical consistency at the medium surface.

Results

The temperature, microrotation, stress components, and displacement fields are derived in explicit parametric forms in terms of the material properties, wave numbers, and loading characteristics. To highlight the role of the inclined load on the dynamic response, the refined G–N predictions are compared with those of the classical G–N model.

Conclusions

The wave propagation in micropolar thermoelastic media under inclined loading is better described by the improved G–N theory. Comparison with the classical models emphasizes the importance of refined thermal and rotational effects in modeling microstructured materials.