Three-dimensional elastic stress fields ahead of notches in thick plates under various loading conditions
Three-dimensional elastic stress fields ahead of notches in thick plates under various loading conditions
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DOI：
10.1016/j.engfracmech.2013.02.031
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发表时间：
2013-08
影响因子：
5.4
通讯作者：
M. Zappalorto;P. Lazzarin
中科院分区：
文献类型：
--
作者：
M. Zappalorto;P. Lazzarin
本文讨论了不同载荷条件下有限厚板缺口前的三维弹性应力分布特征。证明了在一定条件下，三维弹性力学的控制方程可以化为一个双调和方程和调和方程同时满足的系统。前者给出了相应平面切口问题的解，后者给出了相应平面外剪切切口问题的解。分析框架被施加到一些缺口的几何形状，其准确度进行了讨论比较的理论结果和数值数据从三维有限元模型。预期的裂纹路径的实际后果也记录为所考虑的模型之一。
The paper discusses the features of three-dimensional elastic stress distributions ahead of notches in finite thick plates under different loading conditions. It is proved that, under certain circumstances, the three-dimensional governing equations of elasticity can be reduced to a system where a bi-harmonic equation and a harmonic equation have to be simultaneously satisfied. The former provides the solution of the corresponding plane notch problem, the latter provides the solution of the corresponding out-of-plane shear notch problem. The analytical frame is applied to a number of notched geometries, and its degree of accuracy is discussed comparing theoretical results and numerical data from 3D FE models. Practical consequences on the expected crack paths are also documented for one of the considered models.