Existing theoretical methods for solving the stress intensity factors (SIFs) of a cracked V-notch plane are products of highly sophisticated mathematical analyses and are therefore, challenging for engineers to study, derive, and reproduce. Based on our extension of the dimensional analysis, or the 'geometry parameter method', we investigated a V-notched edge of a semi-infinite plate with a crack at the notch tip; the differences between the SIFs of an infinitesimal crack at the tip and cracks emanating in a half plate were presented, and examined. By using superposition and fitting, practicable yet simple, explicit, and closed-form approximations were achieved. Influences affecting the plastic zone were also investigated. The study proved useful, providing various insights that may help practising engineers to establish quick estimation of SIFs.

解决破裂的V形缺口平面的应力强度因子（SIF）的现有理论方法是高度复杂的数学分析的产物，因此，对工程师们进行研究，推导和复制都具有挑战性。基于我们对尺寸分析的扩展，或“几何参数方法”，我们研究了一个半无限板的V形缺口边缘，该缺口在缺口尖端处有裂纹。提出并检查了尖端无限细裂纹的SIF与半板裂纹的SIF之间的差异。通过使用叠加和拟合，获得了实用而又简单，显式和封闭形式的近似值。还研究了影响塑性区的影响。这项研究被证明是有用的，