The effect of poling direction and thermal fracture analysis of penny-shaped crack (PSC) in piezoelectric material (PM) exposed to a uniform temperature and steady-state heat flow is presented using the XFEM approach. The intrinsic coupling, thermo-electro-mechanical under thermal shocks are studied and thermal stress intensity factors (TSIFs), and electrical displacement intensity factors (EDIF) are evaluated using the strain energy-based, thermal interaction integral. The discontinuous crack surfaces are treated as adiabatic and electrically impermeable. The discontinuity in both the temperature gradient and electrical field displacement over the crack surface is enriched using the Heaviside enrichment function. The fracture parameters, TSIFs, and EDIF of penny-shaped crack are a function of applied temperature fields and the thermo-electro-mechanical properties of piezoelectric material are studied. Further, the effect of poling direction, and in-plane and out-plane offset of crack position, and the inclined crack on the TSIFs and EDIF are presented. The comparison of both analytical and numerical results of the intended formulation showed excellent accuracy which has been verified on benchmark problems. The results are quite useful for the design of the sensors, transducers, and actuators in heat transfer applications.

使用 XFEM 方法展示了暴露于均匀温度和稳态热流的压电材料 (PM) 中的便士形裂纹 (PSC) 极化方向和热断裂分析的影响。研究了热冲击下的内在耦合、热机电效应，并使用基于应变能的热相互作用积分评估了热应力强度因子 (TSIF) 和电位移强度因子 (EDIF)。不连续的裂纹表面被视为绝热和电不可渗透的。裂纹表面上的温度梯度和电场位移的不连续性使用 Heaviside 富集函数进行了富集。断裂参数，TSIF，硬币形裂纹的 EDIF 和 EDIF 是外加温度场的函数，研究了压电材料的热机电性能。此外，还介绍了极化方向、裂纹位置的面内和面外偏移以及倾斜裂纹对 TSIF 和 EDIF 的影响。预期公式的分析和数值结果的比较显示出极好的准确性，这已在基准问题上得到验证。结果对于传热应用中的传感器、换能器和执行器的设计非常有用。预期公式的分析和数值结果的比较显示出极好的准确性，这已在基准问题上得到验证。结果对于传热应用中的传感器、换能器和执行器的设计非常有用。预期公式的分析和数值结果的比较显示出极好的准确性，这已在基准问题上得到验证。结果对于传热应用中的传感器、换能器和执行器的设计非常有用。