Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading - Part I: Plasticity

International Journal of Plasticity

Volumn 36, Issue , 2012, Pages 34-49

  Dunand, Matthieu ^a,b   Maertens, Audrey P ^a   Luo, Meng ^a   Mohr, Dirk ^a,b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

Aluminum; Anisotropy; Biaxial experiments; Extrusions; Plasticity

Indexed keywords

ALUMINUM; ANISOTROPY; AXIAL LOADS; EXTRUSION; FINITE ELEMENT METHOD; PLASTICITY;

ANISOTROPY COEFFICIENTS; BIAXIAL EXPERIMENTS; DUAL-ACTUATOR SYSTEMS; EXPERIMENTAL PROGRAM; FINITE ELEMENT SIMULATIONS; MULTIAXIAL STRESS STATE; PLANE STRESS CONDITION; THREE DIMENSIONAL STRESS STATE;

YIELD STRESS;

EID: 84864677421     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2012.03.003     Document Type: Article

References (62)

1. Abaqus, 2004. Reference Manuals v6.5-1. Abaqus Inc.
2. ASTM E8M-04, 2004. Standard test methods for tension testing of metallic materials.
3. Bai, Y., Wierzbicki, T., 2008. A new model of metal plasticity and fracture with pressure and Lode dependence. Int. J. Plasticity 24(6), 1071-1096. (Pubitemid 351400629)
4. Banabic, D., Bunge, H.-J., Pöhlandt, K., Tekkaya, A. E., 2000. In: Banabic, D. (Ed.), Formability of Metallic Materials. Springer-Verlag, Berlin, Heidelberg.
5. Barlat, F., Aretz, H., Yoon, J. W., Karabin, M. E., Brem, J. C., Dick, R. E., 2005. Linear transformation-based anisotropic yield functions. Int. J. Plasticity 21, 1009-1039. (Pubitemid 40034583)
6. Barlat, F., Brem, J. C., Yoon, J. W., Chung, K., Dick, R. E., Choi, S. H., Pourboghrat, F., Chu, E., Lege, D. J., 2003. Plane stress yield function for aluminum alloy sheets. Int. J. Plasticity 19, 1297.
7. Barlat, F., Gracio, J. J., Lee, M. J., Rauch, E. F., Vincze, G., 2011. An alternative to kinematic hardening in classical plasticity. Int. J. Plasticity. http://dx.doi.org/10.1016/j.ijplas.2011.03.003.
8. Barlat, F., Lege, D. J., Brem, J. C., 1991. A six-component yield function for anisotropic materials. Int. J. Plasticity 7, 693-712.
9. Barlat, F., Lian, J., 1989. Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheet under plane stress conditions. Int. J. Plasticity 5, 51-66.
10. Barlat, F., Maeda, Y., Chung, K., Yanagawa, M., Brem, J. C., Hayashida, Y., Lege, D. J., Matsui, K., Murtha, S. J., Hattori, S., Becker, R. C., Makosey, S., 1997. Yield function development for aluminum alloy sheets. J. Mech. Phys. Solids 45, 1727-1763. (Pubitemid 127397158)
11. Bassani, J. L., 1977. Yield characterization of metals with transversely isotropic plastic properties. Int. J. Mech. Sci. 19, 651-660. (Pubitemid 8575582)
12. Bron, F., Besson, J., 2004. A yield function for anisotropic materials. Application to aluminum alloys. Int. J. Plasticity 20, 937-963.
13. Cardoso, R. P. R., Yoon, J. W., 2009. Stress integration method for a nonlinear kinematic/isotropic hardening model and its characterization based on polycrystal plasticity. Int. J. Plasticity 25(9), 1684-1710.
14. Cazacu, O., Barlat, F., 2001. Generalization of Drucker's yield criterion to orthotropy. Math. Mech. Solids 6, 613-630. (Pubitemid 33120263)
15. Chaboche, J. L., 1986. Time independent constitutive theories for cyclic plasticity. Int. J. Plasticity 2, 149.
16. Cvitanic, V., Vlak, F., Lozina, Z., 2008. A finite element formulation based on non-associated plasticity for sheet metal forming. Int. J. Plasticity 24, 646-687.
17. Desmorat, R., Marull, R., 2011. Non-quadratic Kelvin modes based plasticity criteria for anisotropic materials. Int. J. Plasticity 27(3), 328-351.
18. Ferron, G., Makinde, A., 1988. Design and development of a biaxial strength testing device. J. Testing Eval. 16(3), 253-256. (Pubitemid 18611145)
19. Green, D. E., Neale, K. W., MacEwen, S. R., Makinde, A., Perrin, R., 2004. Experimental investigation of the biaxial behaviour of an aluminum sheet. Int. J. Plasticity 20, 1677-1706.
20. Grytten, F., Holmedal, B., Opperstad, O. S., Borvik, T., 2008. Evaluation of identification methods for YLD2004-18p. Int. J. Plasticity 24(12), 2248-2277.
21. Hershey, A. V., 1954. The plasticity of an isotropic aggregate of anisotropic face centred cubic crystals. J. Appl. Mech. 21, 241-249.
22. Hill, R., 1948. A theory of the yielding and plastic flow of anisotropic metals. Proc. Roy. Soc. London A193, 281-297.
23. Hill, R., 1979. Theoretical plasticity of textured aggregates. Math. Proc. Cambridge Philos. Soc. 85, 179.
24. Hill, R., 1990. Constitutive modelling of orthotropic plasticity in sheet metals. J. Mech. Phys. Solids 38, 405-417.
25. Hosford, W. F., 1972. A generalized isotropic yield criterion. J. Appl. Mech. Trans. ASME 39, 607-609.
26. Iadicola, M. A., Foecke, T., Banovic, S. W., 2008. Experimental observations of evolving yield loci in biaxially strained AA5754-O. Int. J. Plasticity 24, 2084-2101.
27. Jansson, M., Nilsson, L., Simonsson, K., 2005. On constitutive modeling of aluminum for tube hydroforming applications. Int. J. Plasticity 21, 1041-1058. (Pubitemid 40034584)
28. Karafillis, A. P., Boyce, M. C., 1993. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41, 1859-1886.
29. Khan, A. S., Kazmi, R., Pandey, A., Stoughton, T., 2009. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part-I: A very low work hardening aluminum alloy (Al6061-T6511). Int. J. Plasticity 25(9), 1611-1625.
30. Khan, A. S., Liu, H., 2012a. Variable strain rate sensitivity in an aluminum alloy: response and constitutive modeling. Int. J. Plasticity. http://dx.doi.org/10.1016/j.ijplas.2012.02.001.
31. Khan, A. S., Liu, H., 2012b. Strain rate and temperature dependent fracture criteria for isotropic and anisotropic metals. Int. J. Plasticity. http://dx.doi.org/10.1016/j.ijplas.2012.01.012.
32. Khan, A. S., Pandey, A., Stoughton, T., 2010. Evolution of subsequent yield surfaces and elastic constants with finite plastic deformation. Part II: A very high work hardening aluminum alloy (annealed 1100 Al). Int. J. Plasticity 26(10), 1421-1431.
33. Korkolis, Y. P., Kyriakides, S., 2008. Inflation and burst of aluminum tubes. Part II: An advanced yield function including deformation-induced anisotropy. Int. J. Plasticity 24, 1625-1637.
34. Korkolis, Y. P., Kyriakides, S., 2009. Path-dependent failure of inflated aluminum tubes. Int. J. Plasticity 25(11), 2059-2080.
35. Korkolis, Y. P., Kyriakides, S., 2011. Hydroforming of anisotropic aluminum tubes: Part II analysis. Int. J. Mech. Sci. 53(2), 83-90.
36. Kuwabara, T., Yoshida, K., Narihara, K., Takahashi, S., 2005. Anisotropic plastic deformation of extruded aluminum alloy tube under axial forces and internal pressure. Int. J. Plasticity 21, 101-117.
37. Lademo, O.-G., Hopperstad, O. S., Langseth M, M., 1999. An evaluation of yield criteria and flow rules for aluminum alloys. Int. J. Plasticity 15, 191-208.
38. Lademo, O.-G., Hopperstad, O. S., Malo, K. A., Pedersen, K. O., 2002. Modelling of plastic anisotropy in heat-treated aluminium extrusions. J. Mater. Process. Technol., 84-88. (Pubitemid 34991922)
39. Logan, R. W., Hosford, W. F., 1980. Upper bound anisotropic yield locus calculations assuming (111)-pencil glide. Int. J. Mech. Sci. 22, 419-430.
40. Lee, M.-G., Kim, D., Kim, C., Wenner, M. L., Chung, K., 2005. Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions, Part III: Applications. Int. J. Plasticity 21, 915-953. (Pubitemid 40034580)
41. Luo, M., Dunand, M., Mohr, D., 2012. Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading - Part II: Ductile fracture. Int. J. Plasticity 32-33, 36-58.
42. Marciniak, Z., Kuczynski, K., 1967. Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9, 609-620.
43. Mohr, D., Jacquemin, J., 2008. Large deformation of anisotropic austenitic stainless steel sheets at room temperature: multi-axial experiments and phenomenological modeling. J. Mech. Phys. Solids 56(10), 2935-2956.
44. Mohr, D., Dunand, M., Kim, K. H., 2010. Evaluation of associated and non-associated quadratic plasticity models for advanced high strength steel sheets under multi-axial loading. Int. J. Plasticity 26(7), 939-956.
45. Mohr, D., Oswald, M., 2008. A new experimental technique for the multi-axial testing of advanced high strength steel sheets. Exp. Mech. 48(1), 65-77.
46. Naka, T., Nakayma, Y., Uemori, T., Hino, R., Yoshida, F., 2003. Effects of temperature on yield locus for 5083 aluminum alloy sheet. J. Mater. Process. Tech. 140, 494-499.
47. Nelder, A., Mead, R., 1965. A simplex method for function minimization. Comput. J. 7, 308-313.
48. Paquet, D., Dondeti, P., Ghosh, S., 2011. Dual-stage nested homogenization for rate-dependent anisotropic elasto-plasticity model of dendritic cast aluminum alloys. Int. J. Plasticity 27, 1677-1701.
49. Raghavan, K. S., 1995. A simple technique to generate in-plane forming limit curves and selected applications. Metall. Mater. Trans. A 26 A (8), 2075-2084.
50. Rousselier, G., Barlat, F., Yoon, J. W., 2009. A novel approach for anisotropic hardening modeling. Part I: Theory and its application to finite element analysis of deep drawing. Int. J. Plasticity 25(12), 2383-2409.
51. Rousselier, G., Luo, M., Mohr, D., 2012. Macroscopic plasticity modeling of anisotropic aluminum extrusions using a Reduced Texture Methodology. Int. J. Plasticity 30-31, 144-165.
52. Stoughton, T. B., 2002. A non-associated flow rule for sheet metal forming. Int. J. Plasticity 18, 687-714.
53. Stoughton, T. B., Yoon, J. W., 2005. Sheet metal formability analysis for anisotropic materials under non-proportional loading. Int. J. Mech. Sci. 47, 1972-2002. (Pubitemid 41605436)
54. Stoughton, T. B., Yoon, J. W., 2009. Anisotropic hardening and non-associated flow in proportional loading of sheet metals. Int. J. Plasticity 25(9), 1777-1817.
55. Stout, M. G., Hecker, S. S., Bourcier, R., 1983. An evaluation of anisotropic effective stress-strain criteria for the biaxial yield and flow of 2024 aluminum tubes. J. Eng. Mater. Tech. Trans. ASME 105, 240-242.
56. Taherizadeh, A., Green, D., Ghaei, A., Yoon, J. W., 2010. A non-associated constitutive model with mixed iso-kinematic hardening for finite element simulation of sheet metal forming. Int. J. Plasticity 26(2), 288-309.
57. Taylor, G. I., Quinney, H., 1931. The plastic distortion of metals. Philos. Trans. Roy. Soc. London A 230, 323.
58. von Mises, R., 1913. Mechanik der Festen Korper im plastisch deformablen Zustand. Göttin. Nachr. Math. Phys. 1, 582-592.
59. Woodthorpe, J., Pearce, R., 1970. The anomalous behaviour of aluminium sheet under balanced biaxial tension. Int. J. Mech. Sci. 12, 341-347.
60. Yoon, J. W., Barlat, F., Dick, R. E., Karabin, M. E., 2006. Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function. Int. J. Plasticity 22, 174-193. (Pubitemid 41218316)
61. Yoon, J. W., Hong, S. H., 2006. Modeling of aluminum alloy sheets based on new anisotropic yield functions. J. Mater. Process. Technol. 177, 134-137. (Pubitemid 44038237)
62. Yoshida, F., Uemori, T., Fujiwara, K., 2002. Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain. Int. J. Plasticity 18(5-6), 633-659.