Stress distributions in orthotropic solids with blunt notches under in-plane shear loadings
Stress distributions in orthotropic solids with blunt notches under in-plane shear loadings
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DOI：
10.1016/j.euromechsol.2021.104436
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发表时间：
2021-10-23
影响因子：
4.1
通讯作者：
Zappalorto, Michele
中科院分区：
文献类型：
--
作者：
Pastrello, Matteo;Salviato, Marco;Zappalorto, Michele
本文研究了受平面剪切载荷作用的正交各向异性材料中钝切口削弱的应力分布。特别是，使用Lekhnitskii的方法，推导出应力分量的新的封闭形式方程，明确说明了切口的几何特征，即切口半径和开口角，以及弹性材料的性质。考虑了三种主要的几何形状，使用适当的保角映射进行描述：在面内剪切载荷作用下，板中的横向对称双曲缺口、抛物线缺口和双曲状缺口。在解析公式中引入了适当的复势函数，利用切口边缘沿着无应力边界条件，导出了整个应力场的解析表达式，最后，通过对圆形切口板在剪切作用下进行的二维有限元分析的数值结果，证明了新解具有很好的精度，并讨论了缺口板Ⅱ型应力场的主要特征。
The present work is devoted to the analysis of the stress distributions in orthotropic solids weakened by blunt notches and loaded under in-plane shear. In particular, using Lekhnitskii's approach, new closed form equations are derived for the stress components, explicitly accounting for the notch geometrical features, namely the notch radius and the opening angle, in conjunction with the elastic material properties.Three main geometries are considered, described using proper conformal mappings: lateral symmetric hyperbolic notches, parabolic notches and hyperbola-like notches in plates loaded under in-plane shear. Appropriate complex potential functions are introduced in the analytical formulation and analytical expressions for the whole stress fields are derived, taking advantage of free-of-stress boundary conditions along the notch edge.Eventually, the very good accuracy of the new solutions is proved against numerical results, as obtained from a number of two-dimensional finite element analyses carried out on plates with rounded notches under shear, also discussing the main features of the mode II stress fields in notched plates.