具有一个无外力圆弧边含转动自由度的杂交应力元

Special hybrid stress membrane element with drilling degrees of freedom and a traction-free circular boundary

根据一种修正的余能原理,建立了一类具有一个无外力圆弧边,且结点含转动自由度的4结点杂交应力膜元.该元内假定应力场满足以柱坐标表示的平衡方程,及圆弧边的无外力边界条件;边界位移与相邻元协调.数值算例表明,这类特殊杂交应力元,可有效地分析具有圆形槽孔及倒圆角槽孔板的应力分布.

New 4-node special hybrid stress membrane elements with drilling degrees of freedom have been developed based on an extended minimum complementary energy principle. These elements are used joindy with conventional displacement elements for the analysis of stress concentrations around different holes and notches. The assumed stress field in the elements satisfies the equilibrium equations, the traction-free boundary conditions and the compatibility equations. Detailed numerical studies show the new special elements can provide accurate stress concentration factors and the distributions of circumferential stress along the rims of the holes when only very coarse meshes are used near holes and notches.