Modelling of the post-localization behaviour in tube hydroforming of low carbon steels

Journal of Materials Processing Technology

Volumn 182, Issue 1-3, 2007, Pages 248-256

  Daly, D ^a   Duroux, P ^b   Rachik, M ^a   Roelandt, J M ^a   Wilsius, J ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^b Automotive Applications Research Centre   (France)

Author keywords

Finite elements; Plastic instabilities; Strain localization; Strain rate; Tube hydroforming

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FORMING; MATHEMATICAL MODELS; NUMERICAL METHODS; PARAMETER ESTIMATION; STRAIN RATE; TUBES (COMPONENTS);

PLASTIC INSTABILITIES; STRAIN LOCALIZATION; TUBE HYDROFORMING;

CARBON STEEL;

EID: 33750606409     PISSN: 09240136     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmatprotec.2006.08.006     Document Type: Article

References (33)

1. Dohmann F., and Hart Ch. Hydroforming-a method to manufacture light-weight parts. J. Mater. Process. Technol. 60 (1996) 669-676
2. Koç M., and Altan T. An overall review of the tube hydroforming (THF) technology. J. Mater. Process. Technol. 108 (2001) 384-393
3. Boudeau N., Lejeune A., and Gelin J.C. Influence of material and process parameters on the development of necking and bursting in flange and tube hydroforming. J. Mater. Process. Technol. 125/126 (2002) 849-855
4. Duroux P., and Tondo S. Influence of material properties on necking in Corner Fill test. Hydroforming of Tubes, Extrusions and Sheet Metals, International Conference on Hydroforming. IFU, Stuttgart (2001)
5. Kridli G.T., Bao L., Mallick P.K., and Tian Y. Investigation of thickness variation and corner filling in tube hydroforming. J. Mater. Process. Technol. 133 (2003) 287-296
6. Till E.T. Parameters affecting forming limits in steel sheet. ABAQUS Users' Conference. Maastricht (2001)
7. Xing H.L., and Makinouchi A. Numerical analysis and design for tubular hydroforming. Int. J. Mech. Sci. 43 (2001) 1009-1026
8. Gelin J.C., and Labergere C. Application of optimal design and control strategies to the forming of thin walled metallic components. J. Mater. Process. Technol. 125/126 (2002) 565-572
9. Massoni E. Finite element simulation of tube hydroforming process. Proceedings of the Fourth International ESAFORM Conference on Material Forming 1. Liège, Belgium (2001) 361-364
10. Koç M., and Altan T. Prediction of forming limits and parameters in the tube hydroforming process. Int. J. Mach. Tools Manufac. 42 (2002) 123-138
11. M. Considère, Mémoire sur l'emploi du fer et de l'acier dans les constructions, Rapport technique, Annales des ponts et chaussées, (1885).
12. Swift H.W. Plastic instability under tensile test. J. Mech. Phys. Solids 1 (1952) 1-18
13. Hill R. A general theory of uniqueness and stability in elastic plastic solids. J. Mech. Phys. Solids 6 (1958) 236-249
14. Hill R. On discontinuous plastic states with spatial reference to localised necking in thin sheets. J. Mech. Phys. Solids 1 (1952) 19-30
15. Rice J.R. The localization of plastic deformation. In: Koiter W.T. (Ed). Theoretical and Applied Mechanics (1977), Amsterdam 207-220
16. Marciniak Z., and Kuczynski K. Limit strains in the process of stretch forming sheet metal. Int. J. Mech. Sci. 9 (1967) 609-620
17. Hutchinson J.W., and Neale K.W. Strain-rate sensitivity on necking under uniaxial tension. Acta Metall. 25 (1977) 839-846
18. Cordebois J.P., and Ladeveze P. Sur la prédiction des courbes limites d'emboutissage. J. Mech. Theor. Appl. 5 (1986) 341-370
19. Hora P., Tong L., and Reissner J.A. Prediction method for ductile sheet metal failure in Fe simulation. In: Wagonner, et al. (Ed). Proceedings of Numisheet'96 (1996) 252-256
20. Hill R., and Hutchinson J.W. Bifurcation phenomena in the plane tension test. Int. J. Solids Struct. 23 (1958) 239-264
21. E. Cosserat, F. Cosserat, Théorie des corps déformables, Hermann et fils, 1909.
22. Muhlhaus H.B. Application of Cosserat theory in numerical solutions of limit load problems. Ing. Arch. 59 (1989) 124-137
23. Mühlhaus H.B., and Aifantis E.C. A variational principle for gradient plasticity. Int. J. Solids Struct. 28 (1991) 845-856
24. de Borst R., and Mühlhaus H.B. Gradient-dependent plasticity: formulation and algorithmic aspects. Int. J. Numer. Meth. Eng. 35 (1992) 521-539
25. Fleck N.A., and Hutchinson J.W. Strain gradient plasticity. Adv. Appl. Mech. 33 (1997) 295-361
26. Xikui L., and Cescotto S. Finite element method for gradient plasticity at large strains. Int. J. Numer. Meth. Eng. 39 (1996) 619-633
27. Mikkelsen L.P. Post-necking behaviour modeled by a gradient dependent plasticity theory. Int. J. Solids Struct. 34 (1997) 4531-4546
28. Pijaudier-Cabot G., and Bazant Z.P. Nonlocal damage theory. J. Eng. Mech. 113 (1987) 1512-1533
29. Needleman A. Material rate dependence and mesh sensitivity in localization problems. Comput. Meth. Appl. Mech. Eng. 67 (1988) 69-86
30. Nayroles B., Touzot G., and Villon P. La méthode des éléments diffus. C.R. Acad. Sci. Paris, II 3 (1991) 113-138
31. Hamel V., Roelandt J.M., Gacel J.N., and Schmit F. Finite element modeling of clinch forming with automatic remeshing. Comput. Struct. 77 (2000) 185-200
32. Daly D., Duroux P., Rachik M., Roelandt J.M., and Wilsius J. Simulation of post-localization behavior in tube hydroforming. Proceedings of the Eighth International Conference on numerical Methods in Industrial Forming Processes (NUMIFORM 2004). The Ohio State University, Colombus (2004)
33. Levy B.S., Yan B., and Stringfield M.J. A hardening rule for steel combining strain and strain rate hardening and its application in stamping. IDDRG Conference Proceedings. Ann Arbor, MI, USA (2000)