纵向槽孔板的应力集中系数

Factors of Stress Concentration for Plate with Longitudinal Hole

根据Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ原理，建立了一种具有一个无外力圆形边界的特殊杂交应力元，其应力场准确满足弹性力学平衡方程、协调方程及无外力圆弧上的边界条件。根据修正的Ｈｅｌｌｉｎｇｅｒ－Ｒｅｉｓｓｎｅｒ原理，建立了另一种具有一个无外力直边界的特殊杂交应力元，其应力场在元上变分满足平衡方程，但准确满足无外力直边上的边界条件。数值算例表明：特殊假定应力元与一般假定位移元这两类元联合，能十分有效地进行纵向倒圆槽孔板的应力集中分析。

A finite element with a traction-free circular side is derived based on the Hellinger-Reissner principle. The assumed stress field of the special element exactly satisfies the equilibrium equations and the compatibility equations in the element as well as the traction-free conditions over the circular boundary. Another new finite element with a traction-free straight side has been developed based on an extended Hellinger-Reissner principle. That means, the equilibrium equations are satisfied in a variational sense. While the tractionfree conditions are satisfied exactly. Numerical results show that the combination of these two kinds of special hybrid stress elements can be efficiently used for analysis of stress concentration of plates with longitudinal holes of rounded Corners.