Multiple cracks/voids have been extensively seen in structural components. The stress field gets affected due to the crack interaction, so the effect of multiple cracks should be considered in design analysis. Further, due to service load, the stress concentrations are induced at the crack tips, which is the source of failure of the component. Hence, the current work has been proposed to investigate the crack interaction phenomenon in structural components under mechanical loading conditions. A mesh-independent computational approach, namely “Extended Finite Element Method (XFEM),” has been implemented for crack discontinuities modeling. Ramberg–Osgood material model has been used for the nonlinear stress–strain relationship of material. Isotropic hardening has been used with von Mises yield criteria to decide the plasticity condition. Further, nonlinear discrete equations have been solved by the Newton–Raphson iterative scheme. Few crack interaction problems are numerically solved by the presented EPFM approach, and results are presented in the form of fracture parameters.

在结构部件中已广泛看到多个裂纹/空隙。应力场由于裂纹相互作用而受到影响，因此在设计分析中应考虑多个裂纹的影响。此外，由于使用载荷，在裂纹尖端处引起应力集中，这是部件失效的根源。因此，提出了当前的工作来研究机械载荷条件下结构部件中的裂纹相互作用现象。已经针对裂纹不连续性建模实现了一种与网格无关的计算方法，即“扩展有限元方法（XFEM）”。Ramberg-Osgood材料模型已用于材料的非线性应力-应变关系。各向同性硬化已与冯·米塞斯（von Mises）屈服准则一起用于确定可塑性条件。进一步，非线性离散方程已通过牛顿-拉夫森迭代方案求解。所提出的EPFM方法很少解决裂纹相互作用问题，并且以断裂参数的形式给出结果。