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<p>The main objective of this paper is to explore the effects of the nonlocal parameter on a two-dimensional micropolar thermoelastic isotropic rotating medium using the three-phase-lag (3PHL) framework. By applying the normal mode method, exact expressions for the temperature, micro-rotation, displacement, and&#xa0;the stress components have been obtained. Numerical solutions for these physical quantities were calculated and visually represented using MATLAB 2013, taking into account the material properties of the&#xa0;magnesium crystal. The study's findings shed important light on how nonlocal thermoelastic media behave under the combined influence of micropolarity and rotation, which could lead to improvements in material design and performance for various applications. The findings reveal significant differences between the three theories, particularly with or without the nonlocal parameter and different values for the&#xa0;angular velocity. Additionally, under rotational influence, the predictions made by the 3PHL model tend to fall between the results from the theories of L-S and G-N III.</p>

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Effects of Rotation and Nonlocality on the Thermoelastic Behavior of Micropolar Materials in the 3PHL Model

  • 期刊论文

  • 发表日期：

    2025年1月28日

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  • Rania A. Fathy,
  • Ebtesam E. M. Eraki,
  • Mohamed I. A. Othman

摘要

The main objective of this paper is to explore the effects of the nonlocal parameter on a two-dimensional micropolar thermoelastic isotropic rotating medium using the three-phase-lag (3PHL) framework. By applying the normal mode method, exact expressions for the temperature, micro-rotation, displacement, and the stress components have been obtained. Numerical solutions for these physical quantities were calculated and visually represented using MATLAB 2013, taking into account the material properties of the magnesium crystal. The study's findings shed important light on how nonlocal thermoelastic media behave under the combined influence of micropolarity and rotation, which could lead to improvements in material design and performance for various applications. The findings reveal significant differences between the three theories, particularly with or without the nonlocal parameter and different values for the angular velocity. Additionally, under rotational influence, the predictions made by the 3PHL model tend to fall between the results from the theories of L-S and G-N III.