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<p>A unique Moore–Gibson–Thompson (MGT) thermal conductivity model with memory-dependent derivatives is introduced in this work, which offers a fresh exploration of the thermo-electro-elastic transient response of a transversely isotropic piezoelectric hollow sphere. By addressing intricate interactions that are frequently missed in earlier research, the study offers a new look at the combined thermo-electro-mechanical behavior of the sphere under laser pulse heating applied to its traction-free inner surface. Detailed quantitative insights are obtained by solving the governing equations using a robust Laplace transform-based approach. Critical parameters, relaxation time, thermal conductivity rate, the kernel function, and pulse parameter time are all thoroughly examined in relation to the dynamic physical response. A variety of techniques, including both graphical and analytical ones, are used to analyze the system’s behavior. The results show significant advancements in our knowledge of the dynamic behavior of piezoelectric materials under complex mechanical and thermal loading scenarios. This study provides a major breakthrough in the field by combining the piezoelectric analysis with the memory-dependent MGT model. Its results represent a significant advancement in thermoelastic piezoelectric analysis and could be used to design next-generation materials, optimize thermal management systems, and create smart material technologies. </p>

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Memory-dependent Moore–Gibson–Thompson heat conduction model for a heterogeneous piezoelectric solid with a spherical hole exposed to time-dependent laser pulse heat flux

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月30日

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  • Sami F. Megahid

摘要

A unique Moore–Gibson–Thompson (MGT) thermal conductivity model with memory-dependent derivatives is introduced in this work, which offers a fresh exploration of the thermo-electro-elastic transient response of a transversely isotropic piezoelectric hollow sphere. By addressing intricate interactions that are frequently missed in earlier research, the study offers a new look at the combined thermo-electro-mechanical behavior of the sphere under laser pulse heating applied to its traction-free inner surface. Detailed quantitative insights are obtained by solving the governing equations using a robust Laplace transform-based approach. Critical parameters, relaxation time, thermal conductivity rate, the kernel function, and pulse parameter time are all thoroughly examined in relation to the dynamic physical response. A variety of techniques, including both graphical and analytical ones, are used to analyze the system’s behavior. The results show significant advancements in our knowledge of the dynamic behavior of piezoelectric materials under complex mechanical and thermal loading scenarios. This study provides a major breakthrough in the field by combining the piezoelectric analysis with the memory-dependent MGT model. Its results represent a significant advancement in thermoelastic piezoelectric analysis and could be used to design next-generation materials, optimize thermal management systems, and create smart material technologies.