Thermal barrier materials used in gas-turbine engines and aerospace vehicles have to resist large thermal gradients or high heat fluxes. The existence of high temperature gradient results in nonlocal effect of heat conduction, especially in very small time and space scale, the size effect of heat conduction is significant. In this work, a nonlocal dual-phase-lag heat conduction model is adopted to analyze the thermal shock fracture problem of thin cracked plates under sudden thermal shock. By using Laplace transform and inverse transform, the temperature field and the thermal stress field are obtained first. Then through the principle of superposition, the formulation results in a mode I crack problem. In the numerical part, the effects of different heat conduction models, thermal nonlocal parameters, and crack geometry parameters on the transient responses are discussed. By comparison analysis, the results show that taking the size effect into account is crucial in the assessment of thermal shock fracture of ceramic plates at micro/nano scale. The stress intensity factor first increases and then decreases with the increase of crack geometry parameters, indicating that the cracked plate exhibits crack growth resistance behaviour.

用于燃气涡轮发动机和航空航天器的隔热材料必须抵抗较大的热梯度或较高的热通量。高温梯度的存在导致热传导的非局部效应，特别是在很小的时间和空间尺度上，热传导的尺寸效应是显着的。本文采用非局部双相滞后热传导模型，分析了突然热冲击作用下薄板裂纹的热冲击破裂问题。通过使用拉普拉斯变换和逆变换，首先获得温度场和热应力场。然后，通过叠加原理，该公式导致了I型裂纹问题。在数值部分，不同的热传导模型，热非局部参数，讨论了裂纹几何参数对瞬态响应的影响。通过比较分析，结果表明，考虑尺寸效应对于评估陶瓷板在微米/纳米尺度下的热冲击断裂至关重要。应力强度因子随裂纹几何参数的增加先增大后减小，说明裂纹板表现出抗裂纹扩展的性能。