The thermo-elastic analysis of thermally induced crack in functionally graded materials (FGMs) is performed using extended isogeometric analysis (XIGA). For the study, two types of cracks, i.e., adiabatic and isothermal, are considered in the FGM body. The suitable enrichment functions are employed to capture the discontinuity (i.e., displacements and temperature) along the crack face and singular fields around the crack tip. The material property gradation in FGM (composed of aluminum and ceramic) is assumed to be governed by the exponential law. The domain-based interaction integral approach evaluates the stress intensity factors (SIFs) at the crack tips. Several numerical experiments are performed to verify the accuracy of XIGA for the FGM body under the action of the thermo-elastic load. Further, the effect of defects (i.e., voids and inclusions) is examined on the SIFs of the FGM body. Moreover, the impact of different material properties of inclusion on the SIFs is also investigated.

使用扩展等角几何分析（XIGA）对功能梯度材料（FGM）中的热裂纹进行了热弹性分析。为了进行研究，FGM体考虑了两种类型的裂纹，即绝热裂纹和等温裂纹。采用合适的富集函数来捕获沿裂纹面和裂纹尖端周围奇异场的不连续性（即位移和温度）。假定FGM（由铝和陶瓷组成）中的材料特性等级受指数定律支配。基于域的相互作用积分方法评估裂纹尖端处的应力强度因子（SIF）。进行了几个数值实验，以验证XIGA在热弹性载荷作用下对FGM车身的准确性。此外，缺陷的影响（即 在女性生殖器残割组织的SIF上检查）。此外，还研究了夹杂物的不同材料特性对SIF的影响。