An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh

被引：0
作者：
T. Nguyen-Thoi
G. R. Liu
H. C. Vu-Do
H. Nguyen-Xuan
机构：
[1] National University of Singapore,Department of Mechanical Engineering, Center for Advanced Computations in Engineering Science (ACES)
[2] Singapore-MIT Alliance (SMA),Faculty of Mathematics and Computer Science
[3] University of Science,undefined
[4] Vietnam National University-HCM,undefined
来源：
Computational Mechanics | 2009年 / 45卷
关键词：
Numerical methods; Edge-based smoothed finite element method (ES-FEM); Finite element method (FEM); Strain smoothing technique; Visco-elastoplastic analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An edge-based smoothed finite element method (ES-FEM) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the elastic solid mechanics problems. In this paper, the ES-FEM is extended to more complicated visco-elastoplastic analyses using the von-Mises yield function and the Prandtl–Reuss flow rule. The material behavior includes perfect visco-elastoplasticity and visco-elastoplasticity with isotropic and linear kinematic hardening. The formulation shows that the bandwidth of stiffness matrix of the ES-FEM is larger than that of the FEM, and hence the computational cost of the ES-FEM in numerical examples is larger than that of the FEM for the same mesh. However, when the efficiency of computation (computation time for the same accuracy) in terms of a posteriori error estimation is considered, the ES-FEM is more efficient than the FEM.
引用
收藏
页码：23 / 44
页数：21
相关论文
共 94 条
[1]  
Carstensen C(2002)Elastoviscoplastic finite element analysis in 100 lines of matlab J Numer Math 10 157-192
[2]  
Klose R(2001)Averaging technique for FE-a posteriori error control in elasticity. Part 1: conforming FEM Comput Methods Appl Mech Eng 190 2483-2498
[3]  
Carstensen C(2001)A stabilized conforming nodal integration for Galerkin meshfree method Int J Numer Methods Eng 50 435-466
[4]  
Funken SA(2008)A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells CMES-Comput Model Eng Sci 28 109-125
[5]  
Chen JS(2007)Free and forced analysis using the smoothed finite element method (SFEM) J Sound Vib 301 803-820
[6]  
Wu CT(2007)An Finite Elements Anal Des 43 847-860
[7]  
Yoon S(2000)-sided polygonal smoothed finite element method (nSFEM) for solid mechanics Int J Numer Methods Eng 47 1549-1568
[8]  
You Y(2008)Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes Int J Comput Methods 5 199-236
[9]  
Cui XY(2007)A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods Comput Mech 39 859-877
[10]  
Liu GR(2006)A smoothed finite element method for mechanics problems Int J Comput Methods 3 401-428
12345678910