Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functionsPart I: theory and formulation

Chung, Kwansoo; Lee, Myoung‐Gyu; Kim, Dae-Yong; Kim, Chongmin; Wenner, Michael L.; Barlat, Frédéric

doi:10.1016/s0749-6419(04)00088-9

Cited by 65 publications

(53 citation statements)

References 32 publications

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“…reviews [1,2]). Usually associated with isotropic hardening for industrial applications, they can also be combined with kinematic or more advanced anisotropic hardening [3][4][5][6][7]. The simulation of cup drawing has been often used to address the accuracy of anisotropic yield criteria in FE simulations; Gotoh and Ishise [8] used Gotoh's yield criterion for simulations on a mild steel, Chung and Shah [9] applied the Yld91 criterion for a 2008-T4 aluminum alloy sheet, Andersson et al [10] employed the criterion of Karafillis and Boyce for the limiting dome height (LDH) test, and Yoon et al [11] implemented Yld2004-18p and demonstrated its ability to predict six-and eight-ear cup profiles.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of sheet metal forming using anisotropic strain-rate potentials

Rabahallah¹,

Bouvier²,

Balan³

et al. 2009

Materials Science and Engineering: A

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For numerical simulation of sheet metal forming, more and more advanced phenomenological functions are used to model the anisotropic yielding. The latter can be described by an adjustment of the coefficients of the yield function or the strain rate potential to the polycrystalline yield surface determined using crystal plasticity and X-ray measurements. Several strain rate potentials were examined by the present authors and compared in order to analyse their ability to model the anisotropic behaviour of materials using the methods described above to determine the material parameters. Following that, a specific elastic-plastic time integration scheme was developed and the strain rate potentials were implemented in the FE code. Comparison of the previously investigated potentials is continued in this paper in terms of numerical predictions of cup drawing, for different bcc and fcc materials. The identification procedure is shown to have an important impact on the accuracy of the FE predictions.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of sheet metal forming using anisotropic strain-rate potentials

Rabahallah¹,

Bouvier²,

Balan³

et al. 2009

Materials Science and Engineering: A

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“…In their approach, several back-stress laws are deactivated upon loading reversal in order to obtain a different flow stress saturation level. Chung et al (2005), , , Khan and Huang (1995), proposed modified versions of Chaboche models by considering some of the kinematic hardening parameters as functions of the effective plastic strain. Recently, Choi et al (2006aChoi et al ( , 2006b) added rotational hardening for the description of the multi-axial elastoplastic behavior.…”

Section: Introductionmentioning

confidence: 99%

Investigation of advanced strain-path dependent material models for sheet metal forming simulations

Haddag

Balan

Abed‐Meraim

2007

International Journal of Plasticity

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Sheet metal forming processes often involve complex loading sequences. To improve the prediction of some undesirable phenomena, such as springback, physical behavior models should be considered. This paper investigates springback behavior predicted by advanced elastoplastic hardening models which combine isotropic and kinematic hardening and take strain-path changes into account. A dislocation-based microstructural hardening model formulated from physical observations and the more classical cyclic model of Chaboche have been considered in this work. Numerical implementation was carried out in the ABAQUS software using a return mapping algorithm with a combined backward Euler and semi-analytical integration scheme of the constitutive equations. The capability of each model to reproduce transient hardening phenomena at abrupt strain-path changes has been shown via simulations of sequential rheological tests. A springback analysis of strip drawing tests was performed in order to emphasize the impact of several influential parameters, namely: process, numerical, and behavior parameters. The effect of the two hardening models with respect to the process parameters has been specifically highlighted.

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“…In order to represent the Bauschinger and transient behavior during unloading, the combined type isotropic-kinematic hardening law based on the modified Chaboche model [3,12] is given by (7) where D is the back stress for the kinematic hardening in order to represent the translation of the yield surface and the effective stress (related to the isotropic hardening), V iso , is the size of the yield surface as a function of the effective strain, ( ). Eq.…”

Section: Combined Isotropic-kinematic Hardening Law Based On the Modimentioning

confidence: 99%

“…In efforts to properly describe the hardening and anisotropic yielding behavior of automotive sheets including DPSteel as well as aluminum alloys and therefore to accurately predict the spring-back of automotive sheet parts, the combined isotropic-kinematic hardening law based on the modified Chaboche model along with the non-quadratic anisotropic yield function has been developed [3][4][5]. When harnessed with the combination type of isotropic-kinematic hardening constitutive laws, the FEM code can better predict the amount of spring-back of automotive parts, since it can account for the Bauschinger effect and the transient behavior during unloading.…”

Section: Introductionmentioning

confidence: 99%

Effect of hardening laws and yield function types on spring-back simulations of dual-phase steel automotive sheets

et al. 2006

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In order to simulate the spring-back of DP-steel automotive sheets, the effect of hardening laws and yield function types has been studied based on finite element simulations performed for 2-D draw bending and S-rail tests. Specifically, the performance of the combined isotropic-kinematic hardening based on the modified Chaboche model was compared with those of the pure isotropic hardening and kinematic hardening laws, along with the non-quadratic anisotropic yield (Yld2000-2d) and Mises yield functions. As for the 2-D draw bending test, numerical results were compared with experimental results for verification purposes.

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Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functionsPart I: theory and formulation

Cited by 65 publications

References 32 publications

Numerical simulation of sheet metal forming using anisotropic strain-rate potentials

Numerical simulation of sheet metal forming using anisotropic strain-rate potentials

Investigation of advanced strain-path dependent material models for sheet metal forming simulations

Effect of hardening laws and yield function types on spring-back simulations of dual-phase steel automotive sheets

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