四结点任意四边形的杂交／混合元

在给出平面上四结点任意四边形的杂交/混合元的应力及位移模式后,本文算出了它的矩阵〔H_e〕、〔G_e〕及〔R_e〕的具体表达式,为应用带来了方便.其次,还给出了采用高斯消去法来构造单元刚度矩阵的的理论依据及实施方案.算例一则,通过比较,显示出用杂交/混合元计算应力具有较高的精度.

Hybrid/Mixed Element of 4-Nodes Quadrangle

After giving the stress model and displacement model of hybrid/mixed element in 4-nodes plane quadrangle , with application of this finite element method , the expression of matrices are computered in this paper . Furthermore , this paper also makes a constructing method of element stiffness matrix by Gauss elimination . Finally , a example is solved by means of this hybrid/mixed element , it shows that this stress accuracy is better than the stress of displacement element .