摘要
根据Hellinger-Reissner原理建立了具有一个无外力圆柱表面三维8节点杂交应力元,元内假定应力场满足以柱坐标表示的三维平衡方程及无外力圆柱面上的外力边界条件,当元退化为二维时也满足协调方程。单元位移场选取与相邻元协调。用这种特殊杂交应力元,在相当粗的网格下即能准确地分析具有半圆孔厚(薄)板的三维(二维)应力集中。
An 8-node solid assumed stress finite element with a traction-free cylindrical surface is developed based on the Hellinger-Reissner principle. The assumed stress field satisfies the equilibrium equations in the element as well as the traction-free conditions over the cylindrical boundary. In the limit plane problem case, the assumed stress field also satisfies compatibility conditions. The stress concentration problems of a thick or thin plate with semicircular notches under uniform tension and in-plane bending are analyzed using the hybrid stress element. Numerical results show that good accuracy is achieved for the distributions of the circumferential stresses and the stress concentration factors.
出处
《工程力学》
EI
CSCD
北大核心
2005年第4期52-57,154,共7页
Engineering Mechanics
基金
国家自然基金资助项目(10072064)
关键词
杂交应力元
半圆孔板
三维应力集中
拉伸
弯曲
assumed stress hybrid element
semicircular notch
stress concentration
tension
bending
