假设应变元的改进

IMPROVED EAS ELEMENTS

本文在假设应变元[1][2]基础上,讨论了改进假设应变场的依据,并引入了应变场的改进方案,构造了两种新的假设应变元。新构造的单元和原单元[1]相比,对扭曲网格的敏感程度明显降低,同时因其基于Hu-Washizu变分原理,因此更适合非线性分析。数值算例表明了该单元的精度。

Based on the EAS elements, the principle used to improve the EAS elements was discussed and strategies to modify the strain field are introduced. Two new EAS elements are constructed. Compared with the original elements, the new elements are less sensitive to mesh distortion. Because the proposed elements are based on the Hu-Washizu variational principle, they are more suitable for nonlinear analysis. Numerical results demonstrate the good performance of the proposed elements.