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<p>Rapid advances in micro-electromechanical systems (MEMS), nanoscale sensors, and laser-based semiconductor processing demand high-fidelity models capable of capturing coupled thermal, mechanical, and electromagnetic responses at small scales, where classical continuum theories fail due to their neglect of size effects and finite thermal wave speeds. To address this gap, this research presents a novel theoretical framework for the magneto-thermoelastic behavior of a perfectly conducting isotropic micropolar half-space under transient laser heating and an external magnetic field. The proposed model integrates a spatiotemporal (space–time) nonlocal elasticity formulation based on a Klein–Gordon-type operator, which simultaneously accounts for long-range interatomic interactions and temporal memory effects, with the dual-phase-lag (DPL) generalized thermoelasticity to ensure physically realistic, finite-speed heat propagation. The formulation further incorporates micropolarity to capture intrinsic microstructural rotations and includes Hall current effects in the electromagnetic coupling. The governing equations are solved analytically via normal mode analysis, yielding exact closed-form solutions for temperature, displacement, microrotation, and stress fields. Numerical results demonstrate that spatiotemporal nonlocality dramatically amplifies mechanical and thermal responses, increasing stress and displacement magnitudes by up to an order of magnitude compared to classical predictions, and reveals strong sensitivity to laser pulse duration. These findings provide a more accurate and physically consistent tool for the design, reliability assessment, and performance optimization of advanced MEMS/NEMS, high-frequency resonators, and laser-processed semiconductor devices operating under extreme multiphysical conditions.</p>

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Laser-Driven Spatiotemporal Nonlocal Magneto-Thermoelasticity in Micropolar Half-Spaces with Dual-Phase-Lag Thermal Effects

  • 期刊论文

  • 发表日期：

    2026年4月6日

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  • A. Soleiman,
  • Ahmed E. Abouelregal,
  • M. E. Nasr

摘要

Rapid advances in micro-electromechanical systems (MEMS), nanoscale sensors, and laser-based semiconductor processing demand high-fidelity models capable of capturing coupled thermal, mechanical, and electromagnetic responses at small scales, where classical continuum theories fail due to their neglect of size effects and finite thermal wave speeds. To address this gap, this research presents a novel theoretical framework for the magneto-thermoelastic behavior of a perfectly conducting isotropic micropolar half-space under transient laser heating and an external magnetic field. The proposed model integrates a spatiotemporal (space–time) nonlocal elasticity formulation based on a Klein–Gordon-type operator, which simultaneously accounts for long-range interatomic interactions and temporal memory effects, with the dual-phase-lag (DPL) generalized thermoelasticity to ensure physically realistic, finite-speed heat propagation. The formulation further incorporates micropolarity to capture intrinsic microstructural rotations and includes Hall current effects in the electromagnetic coupling. The governing equations are solved analytically via normal mode analysis, yielding exact closed-form solutions for temperature, displacement, microrotation, and stress fields. Numerical results demonstrate that spatiotemporal nonlocality dramatically amplifies mechanical and thermal responses, increasing stress and displacement magnitudes by up to an order of magnitude compared to classical predictions, and reveals strong sensitivity to laser pulse duration. These findings provide a more accurate and physically consistent tool for the design, reliability assessment, and performance optimization of advanced MEMS/NEMS, high-frequency resonators, and laser-processed semiconductor devices operating under extreme multiphysical conditions.