Edge-based finite element techniques for non-linear solid mechanics problems

被引：18
|
作者：
Coutinho, ALGA
Martins, MAD
Alves, JLD
Landau, L
Moraes, A
机构：
[1] Univ Fed Rio de Janeiro, Dept Civil Engn, COPPE, Lab Comp Methods Engn, BR-21945970 Rio De Janeiro, Brazil
[2] Univ Fed Rio de Janeiro, COPPE, Ctr Parallel Comp, BR-21945970 Rio De Janeiro, Brazil
[3] SETEX, DIVEX, CENPES, PETROBRAS, BR-21949900 Rio De Janeiro, Brazil
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2001年 / 50卷 / 09期
关键词：
edge-based data structures; inexact Newton methods; finite elements; solid mechanics;
D O I：
10.1002/nme.107
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Edge-based data structures are used to improve computational efficiency of inexact Newton methods for solving finite element non-linear solid mechanics problems on unstructured meshes. Edge-based data structures are employed to store the stiffness matrix coefficients and to compute sparse matrix-vector products needed in the inner iterative driver of the inexact Newton method. Numerical experiments on three-dimensional plasticity problems have shown that memory and computer time are reduced, respectively, by factors of 4 and 6, compared with solutions using element-by-element storage and matrix-vector products. Copyright (C) 2001 John Wiley & Sons, Ltd.
引用
收藏
页码：2053 / 2068
页数：18
相关论文
共 50 条
  • [1] Parallel edge-based finite element techniques for Nonlinear solid mechanics
    Martins, MAD
    Alves, JLD
    Coutinho, LGA
    [J]. VECTOR AND PARALLEL PROCESSING - VECPAR 2000, 2001, 1981 : 506 - 518
  • [2] Edge-based finite element for nonlinear solid mechanics and unsteady transport problems
    Coutinho, ALGA
    Alves, JLD
    Martins, MAD
    de Souza, DAF
    [J]. COMPUTATIONAL BALLISTICS, 2003, : 73 - 81
  • [3] Adaptive superposition of finite element meshes in non-linear transient solid mechanics problems
    Yue, Z.
    Robbins, D. H., Jr.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 72 (09) : 1063 - 1094
  • [4] An edge-based smoothed finite element method softened with a bubble function (bES-FEM) for solid mechanics problems
    Nguyen-Xuan, H.
    Liu, G. R.
    [J]. COMPUTERS & STRUCTURES, 2013, 128 : 14 - 30
  • [5] A parallel finite element package for non-linear problems: Application to damage mechanics
    Lingen, FJ
    [J]. ADVANCES IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING, 1998, : 181 - 186
  • [6] A stress recovery procedure for solving geometrically non-linear problems in the mechanics of a deformable solid by the finite element method
    Rogovoi, A. A.
    Stolbova, O. S.
    [J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2010, 74 (06): : 710 - 720
  • [7] An edge-based smoothed triangle element for non-linear explicit dynamic analysis of shells
    Zheng, Gang
    Cui, Xiangyang
    Li, Guangyao
    Wu, Suzhen
    [J]. COMPUTATIONAL MECHANICS, 2011, 48 (01) : 65 - 80
  • [8] An edge-based smoothed triangle element for non-linear explicit dynamic analysis of shells
    Gang Zheng
    Xiangyang Cui
    Guangyao Li
    Suzhen Wu
    [J]. Computational Mechanics, 2011, 48 : 65 - 80
  • [9] An edge-based smoothed finite element method for 3D analysis ofsolid mechanics problems
    Cazes, F.
    Meschke, G.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 94 (08) : 715 - 739
  • [10] Differentiation of finite element solutions to non-linear problems
    [J]. Omeragic, D., 2000, John Wiley & Sons Ltd, Chichester (13) : 2 - 3
12345