四川大学学报（自然科学版）2021，Vol.58Issue(1)：21-25,5.DOI:10.19907/j.0490-6756.2021.011004
非线性弹性问题的增强混合有限元方法
An augmented mixed finite element method for nonlinear elasticity problems
摘要
Abstract
This paper introduces and analyzes a full augmented mixed finite element method for the non-linear elasticity problems with strongly imposed symmetry stress tensor .The mixed method includes the strain tensor as an auxiliary unknown ,which combines with the usual stress-displacement approach a-dopted in linear elasticity .By introducing different stability terms ,we obtain an augmented mixed finite element variation formulation and a full augmented mixed finite element variation formulation .In order to obtain the well-posed of the two schemes ,we adopt different finite element spaces to approximate the unknow ns and derive the optimal error estimate .Finally ,a numerical example is presented to confirm the theoretical analysis .关键词
非线性弹性问题/两层鞍点方程/增强混合有限元方法Key words
Nonlinear elasticity problem/Two-fold saddle point formulation/Augmented-mixed finite el-ement method分类
数理科学引用本文复制引用
张田田,张百驹..非线性弹性问题的增强混合有限元方法[J].四川大学学报（自然科学版）,2021,58(1):21-25,5.基金项目
国家自然科学基金(11971337) （11971337）
