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Abstract <p>This study delves into the thermoelastic behavior of an infinitely hollow cylinder, incorporating the effects of nonlocal mechanics, fractional thermoelasticity, and variable thermal conductivity. The cylinder is modeled as homogeneous and isotropic, with its outer surface experiencing a decaying heat source under traction-free conditions, while the inner surface remains adiabatic and fixed. The analysis employs the Laplace transform method, complemented by numerical inversion techniques for a detailed exploration. Validation of the theoretical framework is achieved by simplifying the results and benchmarking them against the above theoretical studies. The study investigates the influence of fractional order parameters, nonlocal coefficients, variable thermal conductivity, decay heat source, and temporal evolution on dimensionless displacement, temperature, and stress. The findings reveal that fractional order parameters and nonlocal coefficients significantly affect stress and displacement, whereas the variable thermal conductivity and decaying heat source induce intricate, time-dependent variations. Additionally, the dynamic evolution of physical quantities underscores the complex interactions among these parameters.</p>

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Fractional Thermoelastic Dynamics of Nonlocal Hollow Cylinders with Variable Thermal Conductivity Subjected to Decaying Heat Sources

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • M. H. Ahmed,
  • M. Raddadi,
  • A. M. S. Mahdy,
  • A. El-Bary,
  • Kh. Lotfy

摘要

Abstract

This study delves into the thermoelastic behavior of an infinitely hollow cylinder, incorporating the effects of nonlocal mechanics, fractional thermoelasticity, and variable thermal conductivity. The cylinder is modeled as homogeneous and isotropic, with its outer surface experiencing a decaying heat source under traction-free conditions, while the inner surface remains adiabatic and fixed. The analysis employs the Laplace transform method, complemented by numerical inversion techniques for a detailed exploration. Validation of the theoretical framework is achieved by simplifying the results and benchmarking them against the above theoretical studies. The study investigates the influence of fractional order parameters, nonlocal coefficients, variable thermal conductivity, decay heat source, and temporal evolution on dimensionless displacement, temperature, and stress. The findings reveal that fractional order parameters and nonlocal coefficients significantly affect stress and displacement, whereas the variable thermal conductivity and decaying heat source induce intricate, time-dependent variations. Additionally, the dynamic evolution of physical quantities underscores the complex interactions among these parameters.