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<p>This paper presents a fracture mechanics analysis of a composite plate subjected to transient hygrothermal loading. The plate is subjected to sudden reductions in surface moisture content and temperature, resulting in transient hygrothermal stresses. The coupled moisture and heat diffusion through the plate thickness is solved analytically, and the resulting stress field in the uncracked plate is determined. Using superposition, the transient mode I stress intensity factor&#xa0;is evaluated via a weight function method. The peak stress intensity factor is systematically investigated as a function of crack length and plate thickness. Based on these results, fracture-mechanics-based design criteria are established, yielding simple empirical formulas for the critical moisture and temperature drops that can be sustained without crack propagation. These formulas provide a practical tool for the rapid assessment of the structural integrity of composites exposed to transient hygrothermal environments. The analytical results can also serve as benchmark solutions for validating other numerical methods, such as finite element analysis, or for comparison with experimental results.</p>

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Critical hygrothermal cracking in plate structures under sudden environmental changes

  • 期刊论文

  • 发表日期：

    2026年7月20日

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  • Jine Li,
  • Baolin Wang

摘要

This paper presents a fracture mechanics analysis of a composite plate subjected to transient hygrothermal loading. The plate is subjected to sudden reductions in surface moisture content and temperature, resulting in transient hygrothermal stresses. The coupled moisture and heat diffusion through the plate thickness is solved analytically, and the resulting stress field in the uncracked plate is determined. Using superposition, the transient mode I stress intensity factor is evaluated via a weight function method. The peak stress intensity factor is systematically investigated as a function of crack length and plate thickness. Based on these results, fracture-mechanics-based design criteria are established, yielding simple empirical formulas for the critical moisture and temperature drops that can be sustained without crack propagation. These formulas provide a practical tool for the rapid assessment of the structural integrity of composites exposed to transient hygrothermal environments. The analytical results can also serve as benchmark solutions for validating other numerical methods, such as finite element analysis, or for comparison with experimental results.