拟协调元的位移函数及节点误差  

The Displacement Function of Quasi-Conforming Element and Its Node Error

作　　者：何东升[1] 唐立民[1] 

机构地区：[1]大连理工大学力学系,大连116023

出　　处：《应用数学和力学》2002年第2期119-127,共9页Applied Mathematics and Mechanics

摘　　要：直接从拟协调元的应变关系式出发 ,构造具有明确物理意义的幂级数形式的位移函数 ,从而得出拟协调元的常应变和线性应变系数是唯一确定的 ,它只能收敛到常应变的结论 ;刚性位移项可采用多种构造方法 ,不同的方法得出的节点参数与单元的本身的节点参数存在不同阶次的误差 。Based on the strain formulation of the quasi_conforming finite element, displacement functions are constructed which have definite physical meaning, and a conclusion can be obtained that the coefficients of the constant and the linear strain are uniquely determined, and the quasi_conforming finite element method is convergent to constant strain. There are different methods for constructing the rigid displacement items, and different methods correspond to different order node errors, and this is different from ordinary displacement method finite element.

关 键 词：拟协调元 位移函数 误差分析 有限元法 九参三角形板元 节点误差 

分 类 号：O302[理学—力学] O341.82