An iterative complementarity approach for elastoplastic analysis involving frictional contact

被引：11
作者：
Tin-Loi, F [1 ]
Xia, SH
机构：
[1] Univ New S Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia
[2] Univ Adelaide, Dept Civil & Environm Engn, Adelaide, SA 5005, Australia
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2003年 / 45卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
complementarity; contact; elastoplastic analysis; friction; mathematical programming;
D O I：
10.1016/S0020-7403(03)00056-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We consider the nonholonomic (path-dependent) elastoplastic analysis of suitably discretized structures involving classical frictional contact conditions. A mixed generalized variable finite element approach within a mathematical programming framework is developed. Various models of generalized variables plasticity laws and contact conditions can be accommodated. The numerical solution is carried out in typical stepwise holonomic (path-independent) fashion. In particular, the iterative algorithm proposed involves solving a series of complementarity problems, with appropriate updating being carried out to account for changes in contact and possibly also plasticity conditions. Application is illustrated through several examples. (C) 2003 Elsevier Science Ltd. All rights reserved.
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收藏
页码：197 / 216
页数：20
相关论文
共 36 条
[1]  
[Anonymous], MECCANICA
[2]  
BJORKMAN G, 1992, LINKOPING STUDIES SC
[3]  
Brooke A., 1998, GAMS USERS GUIDE
[4]   A mixed finite element model for plane strain elastic-plastic analysis .1. Formulation and assessment of the overall behaviour [J].
Capsoni, A ;
Corradi, L .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 141 (1-2) :67-79
[5]   GENERALIZED VARIABLE FINITE-ELEMENT MODELING AND EXTREMUM THEOREMS IN STEPWISE HOLONOMIC ELASTOPLASTICITY WITH INTERNAL VARIABLES [J].
COMI, C ;
MAIER, G ;
PEREGO, U .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1992, 96 (02) :213-237
[6]  
Corradi L., 1978, Meccanica, V13, P133, DOI 10.1007/BF02128357
[7]  
Corradi L., 1983, Meccanica, V18, P77, DOI 10.1007/BF02128348
[8]  
Cottle R, 1992, The Linear Complementarity Problem
[9]  
Dirkse S.P., 1995, Optimization Methods and Software, V5, P319, DOI DOI 10.1080/10556789508805619
[10]  
Dirkse Steven P., 1995, Optim. Methods Softw., V5, P123, DOI DOI 10.1080/10556789508805606
1234