Forming of aluminum alloys at elevated temperatures - Part 2: Numerical modeling and experimental verification

International Journal of Plasticity

Volumn 22, Issue 2, 2006, Pages 342-373

  Abedrabbo, Nader ^a   Pourboghrat, Farhang ^a   Carsley, John ^b  

^a Michigan State University   (United States)

^b GENERAL MOTORS CORPORATION   (United States)

Author keywords

Cutting plane algorithm; FLD; Material anisotropy; Temperature; Thermo mechanical; UMAT; Yield function

Indexed keywords

ALGORITHMS; ALUMINUM SHEET; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FAILURE (MECHANICAL); FINITE ELEMENT METHOD; MATHEMATICAL MODELS; TEMPERATURE;

CUTTING-PLANE ALGORITHMS; MATERIAL ANISOTROPY; THERMO-MECHANICAL; UMAT; YIELD FUNCTIONS;

ALUMINUM ALLOYS;

EID: 25444450765     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.03.006     Document Type: Article

References (37)

1. Abedrabbo, N., Pourboghrat, F., Carsley, J., 2005a. Forming of aluminum alloys at elevated temperatures - Part 1: Material characterization. Int. J. Plasticity (in press).
2. Abedrabbo, N., Zampaloni, M., Pourboghrat, F., 2005b. Wrinkling control in aluminum sheets using stamp hydroforming. Int. J. Mech. Sci. (in press).
3. M. Aghaie, and R. Mahmudi Predicting of plastic instability and forming limit diagrams Int. J. Mech. Sci. 46 2004 1289 1306
4. F. Armero, and J.C. Simo A priori stability estimates and unconditionally stable product formula algorithms for nonlinear coupled thermoplasticity Int. J. Plasticity 9 6 1993 749 782
5. F. Auricchio, and R.L. Taylor A return-map algorithm for general associative isotropic elasto-plastic materials in large deformation regimes Int. J. Plasticity 15 12 1999 1359 1378
6. R.A. Ayres Alloying aluminum with magnesium for ductility at warm temperatures (25 to 250 °C) Met. Trans. A 10 1979 849 854
7. R.A. Ayres, and M.L. Wenner Strain and strain-rate hardening effects in punch stretching of 5182-O aluminum at elevated temperatures Met. Trans. A. 10 1979 41 46
8. F. Barlat, Y. Maeda, K. Chung, M. Yanagawa, J.C. Brem, Y. Hayashida, D.J. Lege, K. Matsui, S.J. Murtha, S. Hattori, R.C. Becker, and S. Makosey Yield function development for aluminum alloy sheets J. Mech. Phys. Solids 45 11/12 1997 1727 1763
9. F. Barlat, R.C. Becker, Y. Hayashida, Y. Maeda, M. Yanagawa, K. Chung, J.C. Brem, D.J. Lege, K. Matsui, S.J. Murtha, and S. Hattori Yielding description of solution strengthened aluminum alloys Int. J. Plasticity 13 1997 385
10. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.-H. Choi, and E. Chu Plane stress yield function for aluminum alloy sheets - part 1: theory Int. J. Plasticity 19 2003 1297 1319
11. A.H. Boogaard, P.J. van den Bolt, and R.J. Werkhoven Aluminum sheet forming at elevated temperatures Simulation of materials processing: theory, methods and applications 2001 Swets & Zeitlinger Lisse 819 824
12. M. Čanacrossed d signija, and J. Brnić Associative coupled thermoplasticity at finite strain with temperature-dependent material parameters Int. J. Plasticity 20 10 2004 1851 1874
13. K. Chung, and K. Shah Finite element simulation of sheet metal forming for planar anisotropic metals Int. J. Plasticity 8 4 1992 453 476
14. K. Chung, and O. Richmond A deformation theory of plasticity based on minimum work paths Int. J. Plasticity 9 8 1993 907 920
15. K. Chung, S.Y. Lee, F. Barlat, Y.T. Keum, and J.M. Park Finite element simulation of sheet forming based on a planar anisotropic strain-rate potential Int. J. Plasticity 12 1 1996 93 115
16. Z. Gronostajski The constitutive equations for FEM analysis J. Mater. Proc. Tech. 106 2000 40 44
17. J.O. Hallquist Ls-Dyna user's manual 1999 Livermore Software Technology Corporation CA
18. C.S. Han, K. Chung, R.H. Wagoner, and S.I. Oh A multiplicative finite elasto-plastic formulation with anisotropic yield functions Int. J. Plasticity 19 2 2003 197 211
19. K. Hashiguchi Generalized plastic flow rule Int. J. Plasticity 21 2 2005 321 335
20. R. Hill A theory of the yielding and plastic flow of anisotropic metals Proc. R. Soc. Lond. A 193 1948 281 297
21. D. Li, and A. Ghosh Tensile deformation behavior of aluminum alloys at warm forming temperatures Mater. Sci. Eng. A. 352 2003 279 286
22. Z. Marciniak, and K. Kuczynski Limit strains in the processes of stretch-forming sheet metal Int. J. Mech. Sci. 9 9 1967 609 612
23. T. Naka, G. Torikai, G. Hino, and F. Yoshida The effects of temperature and forming speed on the forming limit diagram for type 5083 aluminum-magnesium alloy sheet J. Mater. Proc. Tech. 113 2001 648 653
24. Ortiz, M., 1981. Topics in constitutive theory for inelastic solids. Ph.D. Dissertation, Department of Civil Engineering, University of California, Berkeley, CA.
25. M. Ortiz, and J.C. Simo An analysis of a new class of integration algorithms for elastoplastic constitutive relations Int. J. Numer. Meth. Eng. 23 1986 353 366
26. M.J. Painter, and R. Pearce The elevated temperature behavior of some Al-Mg alloys Les Mâemoir. Sci. La Revue Mâetall. 77 1980 617 634
27. J.C. Simo, and M. Ortiz A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations Comput. Meth. Appl. Mech. Eng. 49 1985 221 245
28. J.C. Simo, and T.J.R. Hughes Computational inelasticity 1998 Springer New York pp. 143-149
29. T.B. Stoughton Stress-based forming limits in sheet metal forming J. Eng. Mater. Tech. 123 2001 417 422
30. T. Stoughton, and X. Zhu Review of theoretical models of the strain-based FLD and their relevance to the stress-based FLD Int. J. Plasticity 20 8-9 2004 1463 1486
31. K. Takata, T. Ohwue, M. Saga, and M. Kikuchi Formability of Al-Mg alloy at warm temperature Mater. Sci. Forum 331-337 2000 631 636
32. P. Tuǧcu, and K.W. Neale On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming Int. J. Plasticity 15 10 1999 1021 1040
33. P. Wriggers, C. Miehe, M. Kleiber, and J.C. Simo On the coupled thermomechanical treatment of necking problems via finite-element methods Int. J. Numer. Meth. Eng. 33 4 1992 869 883
34. H. Yoa, and J. Cao Prediction of forming limit curves using an anisotropic yield function with prestrain induced backstress Int. J. Plasticity 18 2002 1013 1038
35. J.W. Yoon, D.Y. Yang, K. Chung, and F. Barlat A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming Int. J. Plasticity 15 1 1999 35 67
36. J.W. Yoon, F. Barlat, R. Dick, R. Chung, and T.J. Kang Plane stress yield function for aluminum alloy sheets - part II: FE formulation and its implementation Int. J. Plasticity 20 3 2004 495 522
37. M. Zampaloni, N. Abedrabbo, and F. Pourboghrat Experimental and numerical study of stamp hydroforming of sheet metals Int. J. Mech. Sci. 45 11 2003 1815 1848