开孔矩形薄板应力分析的边界元法

本文根据边界元法的基本原理，利用编制的求解多连域具有体积力的平面问题的计算机程序，对无孔和开孔的矩形薄板的应力进行了分析和计算。计算结果表明，对于无孔的矩形薄板，数值解与解析解几乎相等，可见边界元法具有较高的计算精度；而对于开孔的矩形薄板，得出了孔口附近和内点的应力分布的一些重要结论，这对于理论研究和工程设计具有很重要的参考价值。

The Boundary Element Method on the Stress Analysis of Rectangular Thin Plates with Holes

In this article according to the elementary principle of the boundary element method the computer program has been organizd by ahich the analysis and calculation of stress of rectangular thin plates with and without holes has been made. The calculation results state that its numerical solution and analytical solution are nearly equal to the rectangular thinplate without holes, thus the boundary element method has higher calculation accuracy and at the same time gets some important conclusion to the stress distribution around the hole opening and any points in the plate to the rectangular thin plates with holes and all these have very important reference value in the theoretical research and project design.