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<p>In this study, a detailed analytical formulation is developed to examine the magneto-thermoelastic behavior of a nonlocal medium governed by Eringen’s nonlocal elasticity theory. The semi-infinite medium is subjected to a periodically varying thermal load of constant amplitude together with an externally applied longitudinal magnetic field. The coupled governing equations of motion, heat conduction, and Maxwell’s relations are established within the framework of generalized thermoelasticity. By employing the Laplace transform method combined with the state-space approach, closed-form solutions for the transformed field variables are derived. Numerical inversion of the Laplace transforms is then carried out to obtain the transient responses of displacement, temperature, and stress fields in the time domain. The effects of the nonlocal parameter, magnetic field intensity, and thermal excitation amplitude on the medium’s dynamic response are analyzed and graphically illustrated, demonstrating the considerable influence of nonlocality and magneto-thermoelastic coupling on wave propagation and attenuation characteristics.</p>

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Analysis of a nonlocal magneto-thermoelastic half-space based on the refined Green–Lindsay model under a moving heat source

  • 期刊论文

  • 发表日期：

    2026年2月8日

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  • Ashraf M. Zenkour,
  • Ashraf M. Allehaibi

摘要

In this study, a detailed analytical formulation is developed to examine the magneto-thermoelastic behavior of a nonlocal medium governed by Eringen’s nonlocal elasticity theory. The semi-infinite medium is subjected to a periodically varying thermal load of constant amplitude together with an externally applied longitudinal magnetic field. The coupled governing equations of motion, heat conduction, and Maxwell’s relations are established within the framework of generalized thermoelasticity. By employing the Laplace transform method combined with the state-space approach, closed-form solutions for the transformed field variables are derived. Numerical inversion of the Laplace transforms is then carried out to obtain the transient responses of displacement, temperature, and stress fields in the time domain. The effects of the nonlocal parameter, magnetic field intensity, and thermal excitation amplitude on the medium’s dynamic response are analyzed and graphically illustrated, demonstrating the considerable influence of nonlocality and magneto-thermoelastic coupling on wave propagation and attenuation characteristics.