STUDIES ON GENERALIZED MIDPOINT INTEGRATION IN RATE-INDEPENDENT PLASTICITY WITH REFERENCE TO PLANE-STRESS J(2)-FLOW THEORY

被引:24
作者
FUSCHI, P
PERIC, D
OWEN, DRJ
机构
[1] Department of Civil Engineering, University College of Swansea, Swansea
关键词
D O I
10.1016/0045-7949(92)90012-O
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Issues related to use of the generalized midpoint integration in rate-independent plasticity are investigated restricting attention to plane stress J2-flow theory. Accuracy analysis is performed by developing the iso-error maps for a representative range of loading conditions and alpha-values utilized in the midpoint integration rule. Consequences of the discrete enforcement of the consistency condition on the numerical resolution of the boundary value problem are discussed. A numerical example is presented to test the influence of the choice of alpha-value on a global accuracy and effectiveness of the solution scheme.
引用
收藏
页码:1117 / 1133
页数:17
相关论文
共 22 条
[1]  
[Anonymous], 1950, MATH THEORY PLASTICI
[2]  
Bathe KJ., 2006, FINITE ELEMENT PROCE
[3]  
CRISFIELD M, 1987, P INT C COMP PLAST S, P133
[4]   A FAST INCREMENTAL-ITERATIVE SOLUTION PROCEDURE THAT HANDLES SNAP-THROUGH [J].
CRISFIELD, MA .
COMPUTERS & STRUCTURES, 1981, 13 (1-3) :55-62
[5]   STUDIES IN ANISOTROPIC PLASTICITY WITH REFERENCE TO THE HILL CRITERION [J].
DEBORST, R ;
FEENSTRA, PH .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 29 (02) :315-336
[6]  
Hildebrand BF., 1974, INTRO NUMERICAL ANAL
[7]  
KRIEG RD, 1977, ASME J PRESS VES TEC, V99, P510
[8]  
Mitchell G P, 1988, ENG COMPUT, V5, P274
[9]   SYMMETRY-PRESERVING RETURN MAPPING ALGORITHMS AND INCREMENTALLY EXTREMAL PATHS - A UNIFICATION OF CONCEPTS [J].
ORTIZ, M ;
MARTIN, JB .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1989, 28 (08) :1839-1853
[10]   ACCURACY AND STABILITY OF INTEGRATION ALGORITHMS FOR ELASTOPLASTIC CONSTITUTIVE RELATIONS [J].
ORTIZ, M ;
POPOV, EP .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (09) :1561-1576