应用数学和力学2024，Vol.45Issue(2)：220-226,7.DOI:10.21656/1000-0887.440067
无额外自由度广义有限元的近不可压弹-塑性分析
Nearly Incompressible Elasto-Plastic Analysis of Extra-DOF-Free Generalized Finite Elements
摘要
Abstract
The volumetric locking of the conventional finite element method(FEM)was investigated through the nearly incompressible elasto-plastic analysis,and the extra-DOF-free reinforcement function was introduced in the framework of the generalized finite element method(GFEM)for improvement of this problem.Through the introduction of the reinforcement function,a richer approximation space was obtained for the interpolation function,of which the ability of correctly reflecting structural deformations was promoted under the approxi-mate volumetric invariance constraint.Furthermore,the construction of the reinforcement function is independ-ent of the extra degrees of freedom,which eliminates the linear dependency in the traditional GFEM.Different triggering conditions and manifestations of volumetric locking of the conventional FEM were found in linear e-lastic,hyperelastic,and plastic analyses.Three classical numerical examples show that,the extra-DOF-free GFEM can effectively alleviate the volumetric locking in all analyses,and obtain accurate and reasonable re-sults.关键词
广义有限元/额外自由度/近不可压/体积自锁/弹塑性/超弹性Key words
generalized finite element/extra degree of freedom/nearly incompressible/volumetric locking/elastoplasticity/hyperelasticity分类
力学引用本文复制引用
马今伟,段庆林..无额外自由度广义有限元的近不可压弹-塑性分析[J].应用数学和力学,2024,45(2):220-226,7.基金项目
中央高校基本科研业务费(DUT21GF304) （DUT21GF304）
科学挑战专题(TZ2018002) （TZ2018002）
