Constitutive relation error estimators for (visco)plastic finite element analysis with softening

被引:36
作者
Ladevèze, P
Moës, N
Douchin, B
机构
[1] Univ Paris 06, CNRS, ENS Cachan, Lab Mecan & Technol, F-94235 Cachan, France
[2] Univ Texas, Texas Inst Computat & Appl Math, Austin, TX 78712 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0045-7825(98)00340-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A posteriori error estimators based on constitutive relation residuals have been developed for 20 years, in particular at Cachan. This approach has a strong physical meaning and is quite general. Here, we introduce an extended constitutive relation error estimators family able to measure the quality of finite element computations of structures which exhibit plastic/viscoplastic behavior with softening. These measures take into account, over the studied time interval, all the classical error sources involved in the computation : the space discretization (the mesh), the time discretization and the iterative technique used to solve the nonlinear discrete problem. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:247 / 264
页数:18
相关论文
共 40 条
[1]   A posteriori error estimation in finite element analysis [J].
Ainsworth, M ;
Oden, JT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 142 (1-2) :1-88
[2]  
AUBRY D, 1992, P 9 C ENG MECH COLL
[3]   COMPUTATIONAL ERROR-ESTIMATES AND ADAPTIVE PROCESSES FOR SOME NON-LINEAR STRUCTURAL PROBLEMS [J].
BABUSKA, I ;
RHEINBOLDT, WC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1982, 34 (1-3) :895-937
[4]   A-POSTERIORI ERROR ESTIMATES FOR FINITE-ELEMENT METHOD [J].
BABUSKA, I ;
RHEINBOLDT, WC .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1978, 12 (10) :1597-1615
[5]   VALIDATION OF A-POSTERIORI ERROR ESTIMATORS BY NUMERICAL APPROACH [J].
BABUSKA, I ;
STROUBOULIS, T ;
UPADHYAY, CS ;
GANGARAJ, SK ;
COPPS, K .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (07) :1073-1123
[6]   A MODEL STUDY OF THE QUALITY OF A-POSTERIORI ERROR ESTIMATORS FOR LINEAR ELLIPTIC PROBLEMS - ERROR ESTIMATION IN THE INTERIOR OF PATCHWISE UNIFORM GRIDS OF TRIANGLES [J].
BABUSKA, I ;
STROUBOULIS, T ;
UPADHYAY, CS .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 114 (3-4) :307-378
[7]   ADAPTIVE APPROACHES AND RELIABILITY ESTIMATIONS IN FINITE-ELEMENT ANALYSIS [J].
BABUSKA, I ;
RHEINBOLDT, WC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1979, 17-8 (MAR) :519-540
[8]   ADAPTIVE FINITE-ELEMENT METHODS FOR A CLASS OF EVOLUTION PROBLEMS IN VISCOPLASTICITY [J].
BASS, JM ;
ODEN, JT .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1987, 25 (06) :623-653
[9]  
BUSSY P, 1985, P NUMETA85 SWANS
[10]  
BUSSY P, 1984, THESIS U PARIS 6