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<p>Laser heating technology, as a novel ultra-precision machining method, has found extensive application in the micro-machining of metallic materials. However, existing fractional-order thermoelastic diffusion theories fail to elucidate the inherent time-domain memory characteristics of electron thermal conduction under ultrafast laser heating conditions. To overcome this limitation, this study aims to establish a novel fractional-order thermoelastic diffusion theory featuring a non-singular kernel function. Employing the Laplace transform method, it investigates the thermoelastic diffusion response of a perfect interface metal sandwich composite material under non-Gaussian laser beam irradiation. Numerical results demonstrate that fractional derivatives significantly smooth response curves, providing intuitive validation that this model mathematically regularizes singular solutions in classical theory while embodying physical memory effects. This enhances prediction reliability and design safety. The material parameter ratio determines the multiphysics characteristics of the sandwich structure. When the parameter ratio deviates from 1, both the inner and outer layers exhibit distinct mechanical characteristics. Additionally, adjusting laser parameters can increase the propagation velocity of thermal and diffusion waves, as well as raise the peak values of stress and chemical potential.</p>

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Fractional two-temperature thermoelastic diffusion model with non-singular kernels for laser-heated metallic sandwich structures

  • 期刊论文

  • 发表日期：

    2026年4月6日

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  • Xinggen Zou,
  • Chenlin Li

摘要

Laser heating technology, as a novel ultra-precision machining method, has found extensive application in the micro-machining of metallic materials. However, existing fractional-order thermoelastic diffusion theories fail to elucidate the inherent time-domain memory characteristics of electron thermal conduction under ultrafast laser heating conditions. To overcome this limitation, this study aims to establish a novel fractional-order thermoelastic diffusion theory featuring a non-singular kernel function. Employing the Laplace transform method, it investigates the thermoelastic diffusion response of a perfect interface metal sandwich composite material under non-Gaussian laser beam irradiation. Numerical results demonstrate that fractional derivatives significantly smooth response curves, providing intuitive validation that this model mathematically regularizes singular solutions in classical theory while embodying physical memory effects. This enhances prediction reliability and design safety. The material parameter ratio determines the multiphysics characteristics of the sandwich structure. When the parameter ratio deviates from 1, both the inner and outer layers exhibit distinct mechanical characteristics. Additionally, adjusting laser parameters can increase the propagation velocity of thermal and diffusion waves, as well as raise the peak values of stress and chemical potential.