Study on Interaction Mechanism between Inclusions and Collinear Cracks in Superconducting Bulk under Thermal Stress

高温超导体在制备过程中不可避免地会出现大量缺陷(裂纹、夹杂和孔洞等)。缺陷的存在会降低超导材料的性能，使得高温超导设备的使用范围受限。本文考虑共线裂纹之间的相互作用，分析了在热应力作用下超导块体中夹杂对于共线裂纹的影响。假设超导材料的性质随宽度和温度变化，求解了超导块体的温度和应力分布。通过控制变量，分析了共线裂纹的长度比、裂纹之间的距离、夹杂的属性、梯度参数等因素对应力强度因子的影响。During the fabrication process of high-temperature superconductors, the formation of numerous defects (e.g., cracks, inclusions, and voids) is inevitable. These defects degrade the performance of superconducting materials, thereby limiting the operational range of high-temperature superconducting devices. This study investigates the interaction between collinear cracks and analyzes the influence of inclusions on crack behavior in superconducting bulk under thermal stress. The material properties of the superconductor are assumed to vary with both width and temperature, enabling the determination of temperature and stress distributions within the bulk. Through controlled parametric studies, the effects of crack length ratio, inter-crack spacing, inclusion properties, and gradient parameters on the stress intensity factor are systematically examined.