Performance of low-order triangular elements during plastic flow

被引:6
作者
Heeres, OM [1 ]
de Borst, R [1 ]
机构
[1] Delft Univ Technol, Fac Civil Engn, Koiter Inst Delft, Delft, Netherlands
关键词
plastic flow; triangular element;
D O I
10.1108/02644409910251283
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
An important characteristic of many soil models is a volume change during plastic flow. In computations, this plastic volume change is expressed via a kinematic constraint on the possible deformations. Due to this constraint the plane-strain three-noded triangular element exhibits locking when plastic deformations occur, under dilatant, contractant and isochoric conditions. It is demonstrated that using the method of enhanced assumed strains by Simol this locking cannot be remedied. Far six-noded wedges and four-noded and five-noded pyramids the same conclusion is obtained.
引用
收藏
页码:70 / 87
页数:18
相关论文
共 16 条
[1]   EAS-ELEMENTS FOR 2-DIMENSIONAL, 3-DIMENSIONAL, PLATE AND SHELL STRUCTURES AND THEIR EQUIVALENCE TO HR-ELEMENTS [J].
ANDELFINGER, U ;
RAMM, E .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (08) :1311-1337
[2]   SOME OBSERVATIONS ON ELEMENT PERFORMANCE IN ISOCHORIC AND DILATANT PLASTIC-FLOW [J].
DEBORST, R ;
GROEN, AE .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (17) :2887-2906
[3]  
DEBORST R, 1995, IUTAM S DISCR METH S, V2
[4]  
DEBORST R, 1982, IUTAM S DEF FAIL GRA, P503
[5]  
Groen A.E., 1997, THESIS DELFT U TECHN, P1
[7]  
Nagtegaal J. C., 1974, Computer Methods in Applied Mechanics and Engineering, V4, P153, DOI 10.1016/0045-7825(74)90032-2
[8]   A QUADRILATERAL MIXED FINITE-ELEMENT WITH 2 ENHANCED STRAIN MODES [J].
PILTNER, R ;
TAYLOR, RL .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (11) :1783-1808
[9]   STABILITY AND CONVERGENCE OF A CLASS OF ENHANCED STRAIN METHODS [J].
REDDY, BD ;
SIMO, JC .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (06) :1705-1728
[10]   A CLASS OF MIXED ASSUMED STRAIN METHODS AND THE METHOD OF INCOMPATIBLE MODES [J].
SIMO, JC ;
RIFAI, MS .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 29 (08) :1595-1638