一个应力边界条件下平面弹性问题的Locking-Free有限元方法  

A Locking-Free finite element method for the pure traction boundary problem in planar elasticity

作　　者：赵中建[1] 张冠宇[2] 

机构地区：[1]华北水利水电学院教务处,河南郑州450011 [2]黄淮学院数学系,河南驻马店463000

出　　处：《浙江师范大学学报（自然科学版）》2007年第3期251-257,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：河南省自然科学基金资助项目(200510078005)

摘　　要：用非协调有限元方法解决应力边界条件下平面弹性问题的Locking现象,构造了一个新的四边形单元克服Locking现象,给出了新的非协调有限元格式,证明了此格式的收敛性,并给出了最优的误差估计.It was discussed the locking phenomena of the nonconforming finite element method for the pure traction boundary value problem in planar elasticity, a new rectangular nonconforming finite element scheme was proposed. Convergence of the Locking-Free scheme was proved and estimate results was showed to be optimal.

关 键 词：非协调有限元 LOCKING-FREE 平面弹性 Kom不等式 最优误差估计 

分 类 号：O242.21[理学—计算数学]