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Abstract <p>This paper is based on the generalized Moore–Gibson–Thompson (MGT) thermoelastic theory. In order to more accurately capture the thermodynamic behavior of materials under extreme conditions, a new magneto-thermoelastic coupled constitutive equation is formed by introducing non local parameters in time and space. The aim of this work is to apply Caputo harmonics and fractional derivatives to simulate memory effects, thereby accurately describing complex thermodynamic processes and enhancing the authenticity of physical models. By establishing coupled governing equations containing non local effects, analytical solutions were obtained using Laplace transform and numerical inversion. Numerical analysis reveals the evolution mode of thermal stress in cylindrical bodies under thermal loads, and obtains the influence of spatiotemporal non local parameters on the physical quantities of interest. This study provides key theoretical guidance for engineering applications such as thermal management of microelectronic devices and structural reliability in extreme environments.</p>

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A Spatiotemporal Nonlocal Fractional MGT Thermo-Magneto-Elastic Model: Analytical Solutions and Dynamic Response Analysis

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • Lixu Chen,
  • Yongbin Ma

摘要

Abstract

This paper is based on the generalized Moore–Gibson–Thompson (MGT) thermoelastic theory. In order to more accurately capture the thermodynamic behavior of materials under extreme conditions, a new magneto-thermoelastic coupled constitutive equation is formed by introducing non local parameters in time and space. The aim of this work is to apply Caputo harmonics and fractional derivatives to simulate memory effects, thereby accurately describing complex thermodynamic processes and enhancing the authenticity of physical models. By establishing coupled governing equations containing non local effects, analytical solutions were obtained using Laplace transform and numerical inversion. Numerical analysis reveals the evolution mode of thermal stress in cylindrical bodies under thermal loads, and obtains the influence of spatiotemporal non local parameters on the physical quantities of interest. This study provides key theoretical guidance for engineering applications such as thermal management of microelectronic devices and structural reliability in extreme environments.