Using the stress distribution of the body containing a spherical inclusion, the stress intensity factor at the tip of the annular flaw emanating from the inclusion is formulized. Since the thermal expansion coefficient of matrix and inclusion is not matched, the residual stress is also taken into account. Introducing into the proposed temperature-dependent fracture surface energy or fracture toughness, the temperature-dependent fracture strength for ZrB₂-SiC is obtained. The influence of oxidation on the fracture strength is also discussed and the analysis reveals that the oxidation has significant effect on the fracture strength under some circumstances. The calculated results are compared with the experimental data and they have very good consistency.

利用包含球形夹杂物的物体的应力分布，可以确定由夹杂物引起的环形缺陷尖端处的应力强度因子。由于基体和夹杂物的热膨胀系数不匹配，因此也考虑了残余应力。将所提出的随温度变化的断裂表面能或断裂韧性​​引入所提出的ZrB ₂ -SiC的随温度变化的断裂强度中。还讨论了氧化对断裂强度的影响，分析表明，氧化在某些情况下对断裂强度有显着影响。计算结果与实验数据进行比较，具有很好的一致性。