A four-node shell element with enhanced bending performance for springback analysis

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 23-26, 2004, Pages 2105-2138

  Park, Dong Woon ^a   Oh, Soo Ik ^b  

^a Institute for Advanced Engineering (IAE)   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

FEM; Shell element; Springback

Indexed keywords

BENDING (DEFORMATION); COMPUTATIONAL METHODS; COMPUTER SIMULATION; MATHEMATICAL MODELS; RESIDUAL STRESSES; SHELLS (STRUCTURES);

COMPUTATIONAL EFFICIENCY; SHELL ELEMENTS; SPRINGBACK SIMULATIONS;

MECHANICAL ENGINEERING;

PERFORMANCE ASSESSMENT;

EID: 16544394031     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.01.031     Document Type: Article

References (30)

1. Zhu Y. Zacharia T. A new one-point quadrature, quadrilateral shell element with drilling degrees of freedom Comput. Methods Appl. Mech. Engrg. 136 1996 165-203
2. Belytschko T. Lin J. Tsay C. Explicit algorithms for the nonlinear dynamics and shells Comput. Methods Appl. Mech. Engrg. 42 1984 225-251
3. J. Hallquist, LS-DYNA3D Theoretical Manual, Livermore Software Technology Corporation, 1991
4. Belytschko T. Wong B. Chiang H. Advances in one-point quadrature shell elements Comput. Methods Appl. Mech. Engrg. 96 1992 93-107
5. Belytschko T. Leviathan I. Physical stabilization of 4-node shell element with one-point quadrature Comput. Methods Appl. Mech. Engrg. 113 1994 321-350
6. L.M. Taylor, D.P. Flanagan, PRONTO2D a two-dimensional transient solid dynamics program, Technical Report, Sandia National Laboratories, 1987
7. Belytschko T. Leviathan I. Projection schemes for one-point quadrature shell elements Comput. Methods Appl. Mech. Engrg. 115 1994 277-286
8. Dvorkin E.N. Bathe K.J. A continuum mechanics based four-node shell element for general nonlinear analysis Engrg. Comput. 1 1984 77-88
9. Rankin C.C. Nour-Omid B. The use of projectors to improve finite element performance Comput. Struct. 30 1988 257-267
10. Ibrahimbegovic A. Stress resultant geometrically nonlinear shell theory with drilling rotations--Part I. A consistent formulation Comput. Methods Appl. Mech. Engrg. 118 1994 265-284
11. Ibrahimbegovic A. Frey F. Stress resultant geometrically nonlinear shell theory with drilling rotations--Part II. A consistent formulation Comput. Methods Appl. Mech. Engrg. 118 1994 285-308
12. Allman D. A quadrilateral finite element including vertex rotations for plane elasticity problems Int. J. Numer. Methods Engrg. 26 1988 717-739
13. Allman D. A compatible triangular element including vertex rotations for plane elasticity analysis Comput. Struct. 19 1984 1-8
14. Cook R. On the Allman triangle and a related quadrilateral element Comput. Struct. 22 6 1986 1065-1067
15. Cook R. Four-node flat shell element: Drilling degrees of freedom, membrane-bending coupling, warped geometry, and behavior Comput. Struct. 50 4 1994 549-555
16. Wilson E.L. Taylor R.L. Doherty W.P. Ghaboussi J. Incompatible displacement models Fenves S.J. Perrone N. Robinson A.R. Schnobrich W.C. Numerical and Computer Models in Structural Mechanics 1973 43-57 Academic Press New York
17. Ibrahimbegovic A. Wilson E. A modified method of incompatible modes Comm. Appl. Num. Methods 7 1991 187-194
18. Tessler A. Dong S. On a hierarchy of conforming Timoshenko beam elements Comput. Struct. 14 1981 335-344
19. Friedman Z. Kosmatka J. An improved two-node Timoshenko beam finite element Comput. Struct. 47 3 1993 473-481
20. Reddy J.N. On locking-free shear deformable beam finite elements Comput. Methods Appl. Mech. Engrg. 149 1997 113-132
21. Hughes T. Brezzi F. On drilling degrees of freedom Comput. Methods Appl. Mech. Engrg. 72 1989 105-121
22. 0 structural elements J. Struct. Mech. 11 2 1983 153-176
23. Hughes T. Tezduyar T. Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element J. Appl. Mech. 48 1981 587-596
24. MacNeal R. A simple quadrilateral shell element Comput. Struct. 8 1978 175-183
25. Hughes T. Liu W.K. Nonlinear finite element analysis of shells: Part I. Three-dimensional shells Comput. Methods Appl. Mech. Engrg. 26 1981 331-362
26. B. Engelmann, R. Whirley, A new elasto-plastic shell element formulation for DYNA3D, Technical Report, UCRL-JC-104826, Lawrence Livermore National Laboratory, 1990
27. B. Engelmann, R.G. Whirley, G. Goudreau, A simple shell element formulation for large-scale elasto-plastic analysis, Technical Report UCRL-99677, Lawrence Livermore National Laboratory, 1989
28. Proceedings of the 2nd International Conference NUMISHEET'93
29. W.J. Chung, J.W. Cho, T. Belytschko, A study on dynamic effects of dynamic explicit FEM in sheet metal forming analysis, in: Proceedings of the 3rd International Conference NUMISHEET'96, Dearborn, Michigan, USA, 1996, pp. 414-426
30. Z. Xia, A parametric study of springback behavior, in: Proceedings of the 7th International Conference on Numerical Methods in Industrial Forming Processes--NUMIFORM 2001, Toyohashi, Japan, 2001, pp. 711-716