An efficient DKT rotation free shell element for springback simulation in sheet metal forming

Computers and Structures

Volumn 80, Issue 27-30, 2002, Pages 2299-2312

  Guo, Y Q ^a   Gati, W ^b   Naceur, H ^b   Batoz, J L ^b  

^a UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Sheet metal forming; Shell elements; Springback simulation

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LAGRANGE MULTIPLIERS; METAL FORMING; SHEET METAL; STEEL; STRENGTH OF MATERIALS; STRESSES;

SPRINGBACK SIMULATION;

SHELLS (STRUCTURES);

EID: 0036857355     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00256-0     Document Type: Conference Paper

References (30)

1. Gelin J.C., Picart P., editors. Proceedings of Numisheet '99, 4th Int Conf and Workshop on Num Simulation of 3D Sheet Forming Process. Besançon: September 1999.
2. Noor A.K., Belytschko T., Simo J.C., editors. Analytical and computational models for shells. ASME Publication CED-Vol. 3, 1989.
3. Simo J.C., Fox D.D., Rifai M.S. Formulation and computation aspects of a stress resultant geometrically exact shell model - Computational Mechanics 88 - Theory and applications. Proc Int Conf on Comput Eng Science, Atlanta, April 1988.
4. Zienkiewicz OC et al., editors. Selected papers from WCCMII: modeling of plates and shells. IJNME, 1991;34:783-810.
5. Wunderlich W., editor. Modeling of shells with non linear behavior. EUROMECH 292, TU, Münich, 1992.
6. Ibrahimbegovic A. Stress resultant geometrically exact shell theory for finite rotations and its finite element implementation. Appl. Mech. Rev. 50(4):1997;199-226.
7. Batoz J.L., Bathe K.J., Ho L.W. A study of three-node triangular plate bending elements. IJNME. 15:1980;1771-1812.
8. Belytschko T., Wong B.L., Chiang H.Y. Advances in one-point quadrature shell elements. Comput. Meth. Appl. Mech. Eng. 2:1992;93-107.
9. Roelandt J.M., Batoz J.L. Shell finite element for deep drawing problems: computational aspects and results. Besdo D., Stein E. IUTAM symposium on finite inelastic deformations. 1992;423-430 Springer, Berlin.
10. Batoz J.L., Guo Y.Q., Shakourzadeh H. Analyse non linéaire de coques minces élasto-plastiques avec l'élément DKT12. Revue Européenne des Eléments Finis. 7(1-3):1998;223-239.
11. Peng X., Crisfield M.A. A consistent co-rotation formulation for shells using the constant stress/constant moment triangle. IJNME. 35:1992;1829-1847.
12. Crisfield M.A., Peng X. Efficient nonlinear shell formulations with large rotations and plasticity. Owen D.R.J.et al. Computational plasticity: models, software and applications, Part 1. 1992;1979-1997 Pineridge Press, Swansea.
13. Morley L.S.D. The constant moment plate bending element. J. Strain Anal. 6(1):1971;20-24.
14. Brunet M., Sabourin F. A simplified triangular shell element with necking criterion for 3D sheet forming analysis. Proc Numisheet '93. 1993. p. 229-238.
15. Sabourin F., Brunet M., Vives M. 3D springback analysis with a simplified three node triangular element. Proc Numisheet '99 [1]. Besançon: September 1999. p. 17-22.
16. Onate E., Zarate F., Flores F. A simple triangular element for thick and thin plate and shell analysis. IJNME. 37:1994;2569-2582.
17. Rojek J., Onate E. Sheet springback analysis using a simple shell triangle with translational degrees of freedom only. Int. J. Forming Process. 1(3):1998;275-296.
18. Batoz J.L., Dhatt G. Modélisation des structures par éléments finis, vol. 3, Coques, Ed. Hermès, Paris, 1992.
19. Joannic D., Gelin J.C. Shape defects in sheet metal forming operations after springback. Numisheet '99 [1]. 1999. p. 29-34.
20. Papeleux L., Gohy S., Collard X., Ponthot J.P. Springback simulation in sheet metal forming using implicit algorithm. Numisheet '99 [1]. 1999. p. 23-28.
21. Montmayeur N., Staub C. Springback prediction with OPTRIS. Numisheet '99 [1]. 1999. p. 41-46.
22. Abdelsalam U, Sikorski A, Karima M. Application of one step springback for product and early process feasibility of sheet metal forming. Numisheet '99 [1]. 1999. p. 47-52.
23. Zienkiewicz O.C., Taylor R.C. The finite element method. 4th ed. vol. 1:1989;McGraw-Hill, New York.
24. Onate E., Cervera M. Derivation of thin plate bending elements with one degree of freedom per node. A simple three node triangle. Eng. Comput. 10:1993;543-561.
25. Guo Y.Q., Shakourzadeh H. Comparaison de différents algorithmes de plasticitédans l'analyse non linéaire des structures de poutres 3D. Revue Européenne des Elé ments Finis. 6(2):1997;135-164.
26. Makinouchi A., Nakamachi E., Onate E., Wagoner R.H. 2nd Int Conf on Numerical Simulation of 3D Sheet Forming processes - verification of Simulation with Experiment. NUMISHEET '93 1993; Isehara, Japan.
27. Rio G., Tathi B., Horkay F. Introducing bending rigidity in a finite element membrane sheet metal forming model. Teodosiuet al. Large plastic deformations, fundamental aspects and applications to metal forming. 1993;449-456.
28. Pol P. Modélisation du comportement é lastoplastique de coques minces par éléments finis. PhD thesis from the University of Technology of Compiegne, October 1992.
29. Potier-Ferry M., Damil N., Braikat B., Cadou J.M., Descamps J., Cao H.L., Elhage Hussein A. Traitement des fortes non liné arités par la méthode asymptotique numérique. C.R. Acad. Sci. Paris. 324(Série II b):1997;171-177.
30. Timoshenko S.P., Gere J.M. Theory of elastic stability. 2nd ed. 1961;McGraw-Hill.