journal article·2008-09

A mixed hardening rule coupled with Hill48’ yielding function to predict the springback of sheet U-bending

Bingtao Tang, Guoqun Zhao, Zhaoqing Wang

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Abstract

A mixed hardening model has been used to model the Bauschinger effect. This hardening model is based on Lemaitre and Chaboche nonlinear kinematic hardening theory to consider cyclic behavior and the Bauschinger effect. Hill’48 yielding criterion is used because of the general stress state and relative ease of formulation. The backward Euler return mapping algorithm is applied to calculate the stress and strain increment. The mixed hardening model is implemented based on UMAT subroutine of FEA code ABAQUS. The NUMISHEET’93 benchmark shows that the mixed hardening model coupled with anisotropic yield criteria can give a favorable springback angle prediction.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: High Temperature Alloys and Creep · Microstructure and Mechanical Properties of Steels · Structural Load-Bearing Analysis

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References (21)

Show source-provided references
1. Takahashi H, Shiono I (1991) Backlash model for large deformation behavior of aluminum under torsional cyclic loading. Int J Plast 7(3):199–21710.1016/0749-6419(91)90030-3 ↗
2. Tan Z, Magnusson C, Persson B (1994) The Bauschinger effect in compression-tension of sheet metals. Mater Sci Eng A183:31–3810.1016/0921-5093(94)90887-7 ↗
3. Akhtar SK, Huang S (1995) Continuum theory of plasticity. Wiley, New York
4. Prager W (1956) A new method of analyzing stresses and strains in work-hardening plastic solids. ASME J Appl Mech 78:493–49710.1115/1.4011389 ↗
5. Ziegler H (1956) A modification of Prager’s hardening rule. Q Appl Math 17:55–6510.1090/qam/104405 ↗
6. Mroz Z (1967) On the description of anisotropic workhardening. J Mech Phys Solids 15:163–17510.1016/0022-5096(67)90030-0 ↗
7. Mroz Z (1969) An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model. Acta Mech 7:199–21210.1007/BF01176668 ↗
8. Dafalias YF, Popov EP (1976) Plastic internal variables formalism of cyclic plasticity. J Appl Mech 98(4):645–65110.1115/1.3423948 ↗
9. Armstrong PJ, Frederick CO (1996) A mathematical representation of the multiaxial baushinger effects. CEGB Report, RD/b/N/731, Berkeley Nuclear Laboratories, Berkeley, UK
10. Abdel KM, Ohno N (2000) Kinematic hardening model suitable for ratcheting with steady-state. Int J Plast 16(2):225–24010.1016/S0749-6419(99)00052-2 ↗
11. Geng L, Wagoner RH Springback with a modified nonlinear hardening model 2000, SAE20002000-01-041010.4271/2000-01-0768 ↗
12. Zhang ZT, Lee D (1995) Development of a new model for plane strain bending and springback analysis. J Mater Eng Perform 4(3):291–30010.1007/BF02649066 ↗
13. Zhao KM, Lee JK (1999) On simulation of bend/reverse bend of sheet metals. Manuf Sci Eng MED-Vol 10:929–933
14. Lemaitre J, Chaboche JL (1990) Mechanic of solid materials. Cambridge University Press, Cambridge, UK10.1017/CBO9781139167970 ↗
15. Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5(3):247–30210.1016/0749-6419(89)90015-6 ↗
16. Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond, A, Math Phys Sci 193(1033):281–297
17. Hill R (1990) Constitutive modeling of orthotropic plasticity in sheet metals. J Mech Phys Solids 38(3):405–41710.1016/0022-5096(90)90006-P ↗
18. Chun BK (2001) Study on hardening models and numerical implementation for springback prediction, Ph.D. Thesis, Department of Engineering Mechanics, the Ohio State University
19. Sabourin F, Brunet M, Morestin F (2002) Effect of non-linear kinematic hardening on springback analysis. In Yang DY, Huh SIO, Kim YH (eds) Proceedings of the International Conference NUMISHEET'02, Korea, pp 79–84
20. ABAQUS Theory Manual Version6.4.1, Hibbitt, Karlsson & Sorensen, Inc. 2003
21. Makinouchi A, Nakamachi, Onate E, Wagoner R (eds) NUMISHEET 2nd. Int. Conference on Numerical Simulation of 3-D Sheet Metal Forming Processes, Verification of Simulation with Experiment. 31 August–2 Septermber 1993, Isekava, Japan