This study aims to build a new bridge between configurational stress/force and material fracture. The migrating control volume and thermodynamics are used to develop the Eshelby relation, and the relationship between the conservative integral in fracture mechanics and configurational stress/force for elastic or elastic-plastic materials is further clarified. Additionally, the configurational stresses, including circumferential configurational stress at the crack tip taking T-stress into consideration, are determined, and the $J$ integral vector is then calculated further. The results indicate that $J_1$ integral is path-independent while $J_2$ is path-dependent when T-stress is considered. We preliminarily present the relationship between the configurational stress and crack initiation and the zero circumferential configurational stress fracture criterion (ZCCS) is proposed based on the local properties of the crack-tip configurational stress tensor and fracture mechanics. To estimate the fracture loads, we also develop two fracture criteria based on the critical area of crack-tip plastic zone determined by the Mises configurational stress (MCSPA) and the principal configurational stress difference (PCSDPA), respectively. It is found that the initiation angle assessed by the ZCCS fracture criterion is in good agreement with that by both the MTS fracture criterion and experimental observations, as well as T stresses could affect the initiation angles for mixed-mode cracks under tension-shear loads. Furthermore, the fracture loads evaluated by the MCSPA and PCSDPA fracture criteria are consistent with that by both the MTS fracture criterion and experimental results. Finally, the initiation angles determined based on the characteristics of crack-tip plastic zone by configurational stress coincide with that by MTS and ZCCS fracture criteria.

本研究旨在在构型应力/力与材料断裂之间建立一座新的桥梁。利用迁移控制体积和热力学建立了Eshelby关系，进一步阐明了断裂力学中的保守积分与弹性或弹塑性材料的构型应力/力之间的关系。此外，还确定了构型应力，包括考虑 T 应力的裂纹尖端处的周向构型应力，并且$J$然后进一步计算积分向量。结果表明$J_1$积分是路径无关的，而$J_2$当考虑 T 应力时，它是路径相关的。我们初步提出了构型应力与裂纹萌生之间的关系，并根据裂纹尖端构型应力张量的局部性质和断裂力学，提出了零周向构型应力断裂准则（ZCCS）。为了估计断裂载荷，我们还根据分别由米塞斯构型应力（MCSPA）和主构型应力差（PCSDPA）确定的裂纹尖端塑性区的临界面积制定了两个断裂准则。结果发现，ZCCS断裂准则评估的起裂角与MTS断裂准则和实验观察的起裂角非常一致，并且T应力可以影响拉剪载荷下混合模式裂纹的起裂角。此外，MCSPA和PCSDPA断裂准则评估的断裂载荷与MTS断裂准则和实验结果一致。最后，根据形变应力裂纹尖端塑性区特征确定的起裂角与MTS和ZCCS断裂准则相一致。