Abstract In this work a new universal formula suitable for accurately describing the maximum normal stress distribution along the entire ligament of orthotropic plates weakened by central holes or symmetric lateral notches is provided. To this end, a recent analytical solution proposed to describe the local stress distributions in the close neighbourhood of U- and V-shaped notches is significantly improved using an asymptotic matching approach which explicitly introduces in the analytical formulation two new parameters able to account for the global size of the notched component. The comparison with a large bulk of numerical results reveals that the new solution proposed is very accurate for many geometrical variations, from lateral notches and central holes. Accordingly, it represents a useful engineering tool to calculate the normal stress field ahead of several geometrical variations in orthotropic plates under tension.

中文翻译：

---

具有钝缺口和孔的有限尺寸正交各向异性板中 I 型应力分布的通用方程

摘要 在这项工作中，提供了一个新的通用公式，适用于准确描述被中心孔或对称横向缺口削弱的正交各向异性板沿整个韧带的最大法向应力分布。为此，最近提出的用于描述 U 形和 V 形凹口附近局部应力分布的解析解使用渐近匹配方法得到了显着改进，该方法在解析公式中明确引入了两个新参数，能够解释缺口组件的全局大小。与大量数值结果的比较表明，所提出的新解决方案对于许多几何变化非常准确，从横向凹口和中心孔。因此，