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<p>To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.</p>

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Hydro-thermo-poro-viscoelastic model with non-singular fractional derivatives and transient heat-shock response of cylindrical unlined tunnel

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Chenlin Li,
  • Dechen Wang,
  • Liangcheng Zheng

摘要

To accurately predict dynamic memory-dependent hydro-thermo-mechanical behavior for saturated poro-viscoelastic medium in ultra-fast heating condition (e.g., transient heating technique), this work aims to develop a new hydro-thermo-poro-viscoelastic model, which firstly adopts the Atangana–Baleanu and tempered Caputo non-singular fractional derivatives into deformation evolution law and heat flux equation. The established model is applied to investigate the transient thermal shock response of a cylindrical unlined tunnel by Laplace transformation techniques. Numerical dimensionless results reveal that the fractional parameters in heat conduction significantly lower the thermal wave propagation and reduce the mechanical response, whereas the fractional parameters in deformation maximally decrease the stress and displacement.