Experimental and numerical investigation of combined isotropic-kinematic hardening behavior of sheet metals

International Journal of Plasticity

Volumn 25, Issue 5, 2009, Pages 942-972

  Cao, Jian ^a   Lee, Wonoh ^b   Cheng, Hang Shawn ^a   Seniw, Mark ^a   Wang, Hui Ping ^c   Chung, Kwansoo ^d  

^a Northwestern University   (United States)

^b Korea Institute of Material Science   (South Korea)

^c GENERAL MOTORS CORPORATION   (United States)

^d Seoul National University   (South Korea)

Author keywords

Combined isotropic kinematic hardening law; Double wedge device; Non symmetric reloading behavior; Tension compression tests; Two surface model

Indexed keywords

COMPRESSION TESTING; HARDENING; KINEMATICS; TESTING;

COMBINED ISOTROPIC-KINEMATIC HARDENING LAW; DOUBLE-WEDGE DEVICE; NON-SYMMETRIC RELOADING BEHAVIOR; TENSION-COMPRESSION TESTS; TWO-SURFACE MODEL;

SURFACES;

EID: 62249105200     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.04.007     Document Type: Article

References (40)

1. Abel A., and Ham R.K. The cyclic behavior of crystals of aluminum-4 weight percent copper: I Bauschinger effect. Acta. Metall. 14 (1966) 1489
2. Anand L., and Kalindindi S.R. The process of shear band formation in plane strain compression of FCC metals: efforts of crystallographic texture. Mech. Mater. 17 (1994) 223
3. Balakrishnan, V., 1999. Measurement of in-plane Bauschinger effect in metal sheets. M.S. Thesis. The Ohio State University, Columbus, OH.
4. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Choi S.-H., Pourboghrat F., Chu E., and Lege D.J. Plane stress yield function for aluminum alloy sheets - Part I. Theory. Int. J. Plast. 19 (2003) 1297
5. Barlat F., Duarte J.M.F., Gracio J.J., Lopes A.B., and Rauch E.F. Plastic flow for non-monotonic loading conditions of an aluminum alloy sheet sample. Int. J. Plast. 19 (2003) 1215
6. Bate P.S., and Wilson D.V. Analysis of Bauschinger effect. Acta. Metall. 34 (1986) 1097
7. Bauschinger, J., 1886. On the change of the elastic limit and the strength of iron and steel, by drawing out, by heating and cooling, and by repetition of loading (summary). In: Minutes of Proceedings of the Institution of Civil engineers with Other Selected and Abstract Papers LXXXVII, p. 463.
8. Bergström J.S., and Hilbert Jr. L.B. A constitutive model for predicting the large deformation thermomechanical behavior of fluoropolymers. Mech. Mater. 37 (2005) 899
9. Boger R.K., Wagoner R.H., Barlat F., Lee M.-G., and Chung K. Continuous, large strain, tension-compression testing of sheet material. Int. J. Plast. 21 (2005) 2319
10. Chaboche J.L. Time independent constitutive theories for cyclic plasticity. Int. J. Plast. 2 (1986) 149
11. Chaboche J.L., and Rousselier G. On the plastic and viscoplastic constitutive equations, parts I and II. ASME J. Pressure Vessel Technol. 105 (1983) 153
12. Chen Z., Maekawa S., and Takeda T. Bauschinger effect and multiaxial yield behavior of stress-reverse mild steel. Metall. Mater. Trans. A 30 (1999) 3069
13. Cheng, H.S., Lee, W., Cao, J., Seniw, M., Wang, H.-P., Chung, K., 2007. Experimental and numerical investigation of kinematic hardening behavior in sheet metals. In: Cuero, E., Chinesta, F. (Eds.), Proceedings of ESAFORM 2007, p. 337.
14. Chung K., Lee M.-G., Kim D., Kim C., Wenner M.L., and Barlat F. Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions, part I: theory and formulation. Int. J. Plast. 21 (2005) 861
15. Dafalias Y.F., and Popov E.P. Plastic internal variables formalism of cyclic plasticity. ASME J. Appl. Mech. 43 (1976) 645
16. Geng L., and Wagoner R.H. Role of plastic anisotropy and its evolution on springback. Int. J. Mech. Sci. 44 (2002) 123
17. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc. R. Soc. Lond. A 193 (1948) 281
18. Khan A.S., and Jackson K.M. On the evolution of isotropic and kinematic hardening with finite plastic deformation, part I: compression/tension loading of OFHC copper cylinders. Int. J. Plast. 15 (1999) 1265
19. Khan A.S., and Zhang H. Finite deformation of a polymer: experiments and modeling. Int. J. Plast. 17 (2001) 851
20. Kim J., Lee W., Kim D., Kong J., Kim C., Wenner M.L., and Chung K. Effect of hardening laws and yield function types on spring-back simulations dual-phase steel automotive sheets. Met. Mater. Int. 12 (2006) 293
21. Krieg R.D. A practical two surface plasticity theory. ASME J. Appl. Mech. 42 (1975) 641
22. Kuwabara, T., 2005. Advances of plasticity experiments on metal sheets and tubes and their applications to constitutive modeling. In: Smith, L.M. et al. (Eds.), Proceedings of NUMISHEET 2005, p. 20.
23. Lee M.-G., Kim D., Kim C., Wenner M.L., Wagoner R.H., and Chung K. Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions, part II: characterization of material properties. Int. J. Plast. 21 (2005) 883
24. Lee M.-G., Kim D., Kim C., Wenner M.L., Wagoner R.H., and Chung K. A practical two-surface plasticity model and its application to spring-back prediction. Int. J. Plast. 23 (2007) 1189
25. Lee M.-G., Wagoner R.H., Lee J.K., Chung K., and Kim H.Y. Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets. Int. J. Plast. 24 (2007) 545
26. Lee, W., Kim, J., Kim, D., Kim, C., Wenner, M.L., Okamoto, K., Wagoner, R.H., Chung, K., 2006. Formability evaluation of automotive friction stir welded TWB sheets. In: Khan, A.S., Kazmi, R. (Eds.), Proceedings of Plasticity 2006, p. 19.
27. Lou X.Y., Li M., Boger R.K., Agnew S.R., and Wagoner R.H. Hardening evolution of AZ31B Mg sheet. Int. J. Plast. 23 (2007) 44
28. McDowell D.L. A two surface model for transient nonproportional cyclic plasticity: part 1 development of appropriate equations. ASME J. Appl. Mech. 52 (1985) 298
29. Mroz Z. On the description of anisotropic workhardening. J. Mech. Phys. Solids 15 (1967) 163
30. Prager W. A new method of analyzing stresses and strains in work-hardening plastic solids. ASME J. Appl. Mech. 23 (1956) 493
31. Rae P.J., and Dattelbaum D.M. The properties of poly(tetrafluoroethylene) (PTFE) in compression. Polymer 45 (2004) 7615
32. Rae P.J., and Brown E.N. The properties of poly(tetrafluoroethylene) (PTFE) in tension. Polymer 46 (2005) 8128
33. Ramberg W., and Miller J.A. Determination and presentation of compressive stress-strain data for thin sheet metal. J. Aeronaut. Sci. 13 (1946) 569
34. Tan Z., Magnusson C., and Persson B. The Bauschinger effect in compression-tension of sheet materials. Mater. Sci. Eng. A 183 (1994) 31
35. Wagoner R.H., Lou X.Y., Li M., and Agnew S.R. Forming behavior of magnesium sheet. J. Mater. Process. Technol. 177 (2006) 483
36. Wenner, M.L., 2005. Overview - simulation of sheet metal forming. In: Smith, L.M. et al. (Eds.), Proceedings of NUMISHEET 2005, p. 3.
37. Widmark M., Melander A., and Meurling F. Low cycle constant amplitude fully reversed strain controlled testing of low carbon and stainless sheet steels for simulation of straightening operations. Int. J. Fatigue 22 (2000) 307
38. Yoshida F., and Uemori T. A model of large-strain cycle plasticity describing the Bauschinger effect and workhardening stagnation. Int. J. Plast. 18 (2002) 661
39. Yoshida F., Uemori T., and Fujiwara K. Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain. Int. J. Plast. 18 (2002) 633
40. Ziegler H. A modification of Prager's hardening rule. Quart. Appl. Math. 17 (1959) 55