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<p>To accurately predict the memory-dependent transient thermoelastic response of porous metals under ultrafast laser heating, this work establishes an electron–phonon two-temperature poro-thermoelastic model based on non-singular fractional operators&#xa0;of Atangana-Balla and Tempered Caputo definitions, which eliminates the singularity of the kernel function in classical fractional derivatives (e.g., Caputo and Riemann–Liouville definitions), making numerical calculations more stable and converging faster. The newly developed model is applied to the transient thermal shock response analysis of porous metallic semi-infinite medium via Laplace transform technique. Dimensionless results reveal that the non-singular fractional-order operators mitigate detrimental thermal and deformation responses.&#xa0;The increase of laser parameters enhances the actual surface energy absorption density, significantly improving structural response. The model provides direct engineering guidance for laser micromachining parameter optimization, thermal protection system material selection, and microstructure-informed porous material design.</p>

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Transient response analysis of thermal-impacted porous metals using a non-singular fractional electron–phonon two-temperature model

  • 期刊论文

  • 发表日期：

    2026年4月26日

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  • Jiakun Han,
  • Chenlin Li,
  • Jiaxi Zhou

摘要

To accurately predict the memory-dependent transient thermoelastic response of porous metals under ultrafast laser heating, this work establishes an electron–phonon two-temperature poro-thermoelastic model based on non-singular fractional operators of Atangana-Balla and Tempered Caputo definitions, which eliminates the singularity of the kernel function in classical fractional derivatives (e.g., Caputo and Riemann–Liouville definitions), making numerical calculations more stable and converging faster. The newly developed model is applied to the transient thermal shock response analysis of porous metallic semi-infinite medium via Laplace transform technique. Dimensionless results reveal that the non-singular fractional-order operators mitigate detrimental thermal and deformation responses. The increase of laser parameters enhances the actual surface energy absorption density, significantly improving structural response. The model provides direct engineering guidance for laser micromachining parameter optimization, thermal protection system material selection, and microstructure-informed porous material design.