This work is focused to investigate the effect of various discontinuities like cracks, inclusions and voids for an orthotropic plate, to evaluate the normalized mixed-mode stress intensity factors (NMMSIFs) by implementing the extended finite element method (XFEM) under uniaxial tensile loading though considering the various numerical examples. The NMMSIFs are investigated with the interaction of crack, single- and multi-inclusions/voids for an orthotropic plate. The effect of NMMSIFs is analyzed for an orthotropic plate with several orthotropy axis orientations by changing the position of single- and multi-inclusions/voids while aligned, above and away with respect to an edge crack of the plate and for the both side inclusions/voids aligned the center crack. It is also investigated for the effect of various shapes of inclusions/voids for an edge crack orthotropic plate under uniaxial tensile loading using XFEM.

中文翻译：

---

正交各向异性板在单轴拉伸载荷下裂纹、夹杂物和空隙相互作用的 XFEM 数值研究

这项工作的重点是研究正交各向异性板的各种不连续性（如裂缝、夹杂物和空隙）的影响，通过在单轴拉伸载荷下实施扩展有限元法 (XFEM) 来评估归一化混合模式应力强度因子 (NMMSIF)。考虑各种数值例子。NMMSIF 研究了正交各向异性板的裂纹、单夹杂物和多夹杂物/空隙的相互作用。通过改变单个和多个夹杂物/空隙的位置，同时相对于板的边缘裂纹和两侧夹杂物/空隙对齐中心裂缝。