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<p>This study proposes a novel thermoviscoelastic model that integrates spatio-temporal nonlocality, temperature-dependent conductivity, and a two-parameter tempered Caputo fractional derivative within the Moore–Gibson–Thompson (MGT) framework. Uniquely, this work is the first incorporation of a two-parameter tempered Caputo fractional operator into the MGT heat conduction equation, overcoming the paradox of infinite heat propagation while capturing memory-dependent relaxation. The transient response of a rotating orthotropic hollow cylinder under thermal shock is analyzed via Laplace transforms. Results indicate that the tempering parameter and nonlocal length scales significantly dampen thermal waves. Specifically, the tempered model reduces the peak hoop stress by 30–45% compared to the classical MGT formulation. Furthermore, temperature-dependent conductivity (<i>K</i><sub>1 </sub>= − 0.4) localizes thermal energy, reducing inward contraction by 22%. This framework provides a robust tool for predicting transient thermomechanical behavior in advanced rotating structures and also captures early-time anomalous diffusion and late-time exponential memory decay observed in polymers, composites, and biological tissues.</p>

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Tempered fractional spatio-temporal nonlocal MGT thermoviscoelastic model for rotating orthotropic hollow cylinders with temperature-dependent conductivity

  • 期刊论文

  • 发表日期：

    2026年5月30日

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  • Salman S. Alsaeed,
  • Mohammed Aldandani,
  • Marin Marin,
  • Ahmed E. Abouelregal

摘要

This study proposes a novel thermoviscoelastic model that integrates spatio-temporal nonlocality, temperature-dependent conductivity, and a two-parameter tempered Caputo fractional derivative within the Moore–Gibson–Thompson (MGT) framework. Uniquely, this work is the first incorporation of a two-parameter tempered Caputo fractional operator into the MGT heat conduction equation, overcoming the paradox of infinite heat propagation while capturing memory-dependent relaxation. The transient response of a rotating orthotropic hollow cylinder under thermal shock is analyzed via Laplace transforms. Results indicate that the tempering parameter and nonlocal length scales significantly dampen thermal waves. Specifically, the tempered model reduces the peak hoop stress by 30–45% compared to the classical MGT formulation. Furthermore, temperature-dependent conductivity (K1 = − 0.4) localizes thermal energy, reducing inward contraction by 22%. This framework provides a robust tool for predicting transient thermomechanical behavior in advanced rotating structures and also captures early-time anomalous diffusion and late-time exponential memory decay observed in polymers, composites, and biological tissues.