各向异性弹性体中矩形孔边缘应力分布

Stress Distribution Around Rectangle Holes in Anisotropic Elastic Plates

推导了各向异性平面弹性体中矩形孔洞边缘的应力分布公式并给出了数值计算结果。工程中会遇到矩形孔洞的问题 ,而矩形孔导致的应力集中增加了工程问题的复杂性。目前尚没有简单实用的公式计算矩形孔在各向异性体中应力的分布。本文采用复变函数保角变换的方法推导了矩形孔边缘的应力公式。在利用本文给出的方法 ,可以计算矩形孔在不同性质的各向异性材料中 ,承受任意的双轴荷载下孔边缘的应力分布情况。

A general solution for stress distribution around rectangle holes in anisotropic elastic plates is presented. Rectangle holes are often encountered in engineering practice. The stress concentration around the holes leads to the complexity of analysis. Nevertheless, up to now, there is no simple solution for this problem. Conformal transformation in complex analysis is adopted here to deduce the solution. With the method presented in this paper, the stress distribution around rectangle holes under arbitrary biaxial loading, for different kinds of anisotropic materials, can be calculated.