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Abstract Purpose <p>This study aims to develop and analyze an innovative fractional thermoelastic model that enhances the Green and&#xa0;Naghdi type III (GN-III) framework. By integrating a relaxation coefficient and the Moore-Gibson-Thompson (MGT)&#xa0;equation, the model provides a refined methodology to study thermal processes in fiber-reinforced materials,&#xa0;offering improved accuracy and applicability over classical approaches.</p> Methods <p>The model employs the fractional Atangana-Baleanu (AB) differential operator with non-singular kernels, enabling it to capture the intricate thermal dynamics of advanced material systems. A case study is conducted on an infinite fiber-reinforced medium containing a drag-free cylindrical cavity subjected to harmonically varying temperatures. The Laplace transform technique is utilized to derive numerical results, allowing for a detailed analysis of thermal field distributions influenced by viscosity parameters and fractional differential order.</p> Results <p>The numerical simulations reveal the significant effects of viscosity parameters and fractional differential order on the thermal field distribution, as demonstrated through comprehensive graphical analyses. Comparative evaluations with existing models highlight the proposed system's superior accuracy in depicting the thermal behavior of fiber-reinforced materials under dynamic thermal conditions.</p> Conclusions <p>This work introduces a modified fractional thermoelastic model that effectively enhances the understanding of thermal processes in complex material systems. The findings underscore the model's practical applicability in engineering and material science, offering a robust tool for analyzing and designing fiber-reinforced materials subjected to dynamic thermal environments.</p>

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Analysis of Thermoelastic Vibrations in Unbounded Viscoelastic Fiber-Reinforced Materials Using a Fractional MGT Model Under Periodic Pulsed Heating

  • 期刊论文

  • 发表日期：

    2025年5月19日

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  • Abeer Alhashash,
  • Ahmed E. Abouelregal

摘要

Abstract Purpose

This study aims to develop and analyze an innovative fractional thermoelastic model that enhances the Green and Naghdi type III (GN-III) framework. By integrating a relaxation coefficient and the Moore-Gibson-Thompson (MGT) equation, the model provides a refined methodology to study thermal processes in fiber-reinforced materials, offering improved accuracy and applicability over classical approaches.

Methods

The model employs the fractional Atangana-Baleanu (AB) differential operator with non-singular kernels, enabling it to capture the intricate thermal dynamics of advanced material systems. A case study is conducted on an infinite fiber-reinforced medium containing a drag-free cylindrical cavity subjected to harmonically varying temperatures. The Laplace transform technique is utilized to derive numerical results, allowing for a detailed analysis of thermal field distributions influenced by viscosity parameters and fractional differential order.

Results

The numerical simulations reveal the significant effects of viscosity parameters and fractional differential order on the thermal field distribution, as demonstrated through comprehensive graphical analyses. Comparative evaluations with existing models highlight the proposed system's superior accuracy in depicting the thermal behavior of fiber-reinforced materials under dynamic thermal conditions.

Conclusions

This work introduces a modified fractional thermoelastic model that effectively enhances the understanding of thermal processes in complex material systems. The findings underscore the model's practical applicability in engineering and material science, offering a robust tool for analyzing and designing fiber-reinforced materials subjected to dynamic thermal environments.