ENRICHED GOAL-ORIENTED ERROR ESTIMATION APPLIED TO FRACTURE MECHANICS PROBLEMS SOLVED BY XFEM

被引：10
作者：
Lin, Zhijia [1 ]
Zhuang, Zhuo [1 ]
You, Xiaochuan [1 ]
Wang, Heng [1 ]
Xu, Dandan [1 ]
机构：
[1] Tsinghua Univ, Sch Aerosp, Appl Mech Lab, Beijing 100084, Peoples R China
来源：
ACTA MECHANICA SOLIDA SINICA | 2012年 / 25卷 / 04期
基金：
中国国家自然科学基金;
关键词：
goal-oriented error estimation; extended finite element method; fracture mechanics; error bounds; FINITE-ELEMENT-METHOD; CRACK-GROWTH; MODELS; ADAPTIVITY; DYNAMICS;
D O I：
10.1016/S0894-9166(12)60035-4
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on the concept of constitutive relation error along with the residual of both origin and dual problems, a goal-oriented error estimation method with extended degrees of freedom is developed in this paper. It leads to high quality local error bounds in the problem of fracture mechanics simulation with extended finite element method (XFEM), which involves enrichment to solve a stress singularity in the crack. Since goal-oriented error estimation with enriched degrees of freedom gives us a chance to evaluate the XFEM simulation, the stress intensity factor calculated by two kinds of XFEM programs developed by ourselves and by commercial code ABAQUS are compared in this work. By comparing the reliability of the stress intensity factor calculation, the accuracy of two programs in different cases is evaluated and the source of error is discussed. A 2-dimensional XFEM example is given to illustrate the computational procedure.
引用
收藏
页码：393 / 403
页数：11
相关论文
共 50 条
  • [21] GOAL-ORIENTED ERROR ESTIMATION AND MESH ADAPTIVITY IN THREE-DIMENTIONAL ELASTICITY PROBLEMS
    Ghorashi, S. Sh.
    Amani, J.
    Bagherzadeh, A. S.
    Rabczuk, T.
    11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, 2014, : 734 - 745
  • [22] Goal-oriented error estimation for Stokes flow interacting with a flexible channel
    van der Zee, K. G.
    van Brummelen, E. H.
    de Borst, R.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2008, 56 (08) : 1551 - 1557
  • [23] Goal-oriented error estimation and mesh adaptivity in 3d elastoplasticity problems
    S. Sh. Ghorashi
    T. Rabczuk
    International Journal of Fracture, 2017, 203 : 3 - 19
  • [24] Goal-oriented error estimation and adaptivity for the finite element method
    Oden, JT
    Prudhomme, S
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (5-6) : 735 - 756
  • [25] Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity
    Rabizadeh, Ehsan
    Bagherzadeh, Amir Saboor
    Rabczuk, Timon
    COMPUTERS & STRUCTURES, 2016, 173 : 187 - 211
  • [26] Goal-oriented error estimation and h-adaptivity for Maxwell's equations
    Ingelström, P
    Bondeson, A
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (22-24) : 2597 - 2616
  • [27] Goal-oriented error estimation applied to direct solution of steady-state analysis with frequency-domain finite element method
    Lin, Zhi-jia
    You, Xiao-chuan
    Zhuang, Zhuo
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (05) : 539 - 552
  • [28] Isogeometric analysis-based goal-oriented error estimation for free-boundary problems
    van der Zee, K. G.
    Verhoosel, C. V.
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2011, 47 (06) : 600 - 609
  • [29] Goal-oriented error estimation in the analysis of fluid flows with structural interactions
    Gratsch, Thomas
    Bathe, Klaus-Jurgen
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (41-43) : 5673 - 5684
  • [30] Goal-oriented error estimation and mesh adaptation for shallow water modelling
    Wallwork, Joseph G.
    Barral, Nicolas
    Kramer, Stephan C.
    Ham, David A.
    Piggott, Matthew D.
    SN APPLIED SCIENCES, 2020, 2 (06):
12345