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<p>The dual-phase-lag (DPL) model accounts for thermal relaxation time effects, providing a precise characterization of extreme heat transfer mechanisms. This study investigates thermal shock behavior in an elastic coating with periodic edge cracks using the DPL model. Transient temperature and stress fields were derived via Laplace transform techniques for a coated semi-infinite slab subjected to sudden surface cooling. By applying opposite stress distributions from an uncracked medium as the only crack surface tractions, the fracture problem was formulated through superposition principles. Stress intensity factors (SIFs) were determined by numerically solving a singular integral equation. Parametric analyses reveal SIF dependencies on normalized time, coating thickness, crack depth, spacing, and material constants. Interactions of thermal wave with the interface and surface generate unique heat transfer features in the DPL model. Thermal SIF magnitudes increase monotonically with crack spacing, demonstrating shielding effects. These results advance the understanding of coating failure under extreme thermal transients and offer practical guidelines for protective coating design.</p>

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Effect of periodic cracks on thermal shock fracture of coatings under dual-phase-lag theory

  • 期刊论文

  • 发表日期：

    2026年4月18日

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  • Xingsheng Xu,
  • Xuejun Chen

摘要

The dual-phase-lag (DPL) model accounts for thermal relaxation time effects, providing a precise characterization of extreme heat transfer mechanisms. This study investigates thermal shock behavior in an elastic coating with periodic edge cracks using the DPL model. Transient temperature and stress fields were derived via Laplace transform techniques for a coated semi-infinite slab subjected to sudden surface cooling. By applying opposite stress distributions from an uncracked medium as the only crack surface tractions, the fracture problem was formulated through superposition principles. Stress intensity factors (SIFs) were determined by numerically solving a singular integral equation. Parametric analyses reveal SIF dependencies on normalized time, coating thickness, crack depth, spacing, and material constants. Interactions of thermal wave with the interface and surface generate unique heat transfer features in the DPL model. Thermal SIF magnitudes increase monotonically with crack spacing, demonstrating shielding effects. These results advance the understanding of coating failure under extreme thermal transients and offer practical guidelines for protective coating design.