具有V型槽孔板的应力集中分析

根据杂交应力理性模式，基于一种修正的Hellinger－Reissuer原理，建立了具有一个无外力斜边的杂交应力元，其应力场由无边界面力在非协调位移上所作虚功之和为零的约束条件导出，将这种特殊元与具有一个无外力圆弧边的杂交应力元联合，可有效地分析具有倒圆角V型槽孔板的应力集中，并可提供远较一般假定位移及一般假定应力元准确的孔边应力分布。

Hybrid Solid Element with a Traction-Free Slant Surface

A new 3-D incompatible finite element with a traction-free slant surface has been developed based on an extended Heninger-Reissner principle by a rational hybrid stress method. The stress assumption is obtained by using the conditions of vanishing of virtual work along the element boundary due to the tractions and the incompatible displacements. Another finite element with a traction-free cylindrical surface is derived using the HellingerReissner principle. The assumed stresses satisfy the equalibrium equations as well as the traction-free condition over the cylindrical b0undary exactly. It also satisfies the compatibility comditions in the limiting case of plane stress conditions. The combination of these two kinds of special hybrid stress elements can be efficiently used for analysis of stress concentration of solid with holes and notches consisting of cylindrical face and slant face.