一种基于第三类变分原理的三维罚平衡杂交元

Penalty equilibrating 3D mixed/hybrid element based on the three field variational principle

为提高杂交元在不规则形状单元情况下的精度 ,基于第三类变分原理提出了一种三维体罚平衡杂交元 ,引入的惩罚项能有效地抑制由于网格畸变产生的不满足平衡方程的伪应力 ,降低了单元对不规则网格的敏感性。和相应的应力杂交元相比 ,本单元更适合非线性分析。给出了线性情况的公式 。

The accuracy of the mixed element for irregular mesh condition is improved using a penalty equilibrating 3D mixed element based on the Hu Washizu variational principle. The penalty item can efficiently penalize the false stress and decrease the sensitivity of the mixed element to the mesh distortion. The proposed element based on the three field variational principle is more suitable than the hybrid stress element for non linear analysis. This paper describes linear case. The numerical results demonstrate the performance of the proposed element.