在有一个圆形或椭圆形的洞的结构的压力集中问题能被分析方法调查。为有一个矩形的洞的问题,仅仅近似的结果被导出。这份报纸在 biaxial 紧张下面与一个矩形的洞在盘子中推出分析答案到压力集中问题。由使用 U 转变技术和有限元素方法,有限元素方程的分析排水量溶液在系列形式被导出。因此,压力集中然后能容易并且方便地被讨论。为板问题,有四个节点的双线性的矩形的元素作为一个例子被拿表明建议方法的适用性。为到洞的宽度的高度的各种各样的比率的压力集中因素被获得。
The stress concentration problem in structures with a circular or elliptic hole can be investigated by analytical methods. For the problem with a rectangular hole, only approximate results are derived. This paper deduces the analytical solutions to the stress concentration problem in plates with a rectangular hole under biaxial tensions. By using the U-transformation technique and the finite element method, the analytical displacement solutions of the finite element equations are derived in the series form. Therefore, the stress concentration can then be discussed easily and conveniently. For plate problem the bilinear rectangular element with four nodes is taken as an example to demonstrate the applicability of the proposed method. The stress concentration factors for various ratios of height to width of the hole are obtained.