Constitutive law for AZ31B Mg alloy sheets and finite element simulation for three-point bending

Kim, Junehyung; Ryou, Hansun; Kim, Dongun; Kim, Dae-Yong; Lee, Wonoh; Hong, S K; Chung, Kwansoo

doi:10.1016/j.ijmecsci.2008.08.004

Cited by 54 publications

(10 citation statements)

References 16 publications

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“…At a punch diameter of 2 mm and 8 mm, the force maximum in 90° direction is generally below the F max values in 0° direction at sheet thicknesses above 1.0 mm. This is in contrast to the investigations of Kim et al [10] on conventional rolled AZ31 sheets, where 90° is the stronger direction. The anisotropic behaviour in the present study is typical for TRC AZ31, because it might be related to texture effects [11].…”

Section: Resultscontrasting

confidence: 96%

The Effect of Sheet Thickness, Loading Rate and Punch Diameter on the Deformation Behaviour of AZ31 during 3-Point Bending

Berge

Winderlich

Krbetschek

et al. 2016

MSF

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In this study, the influence of sheet thickness, loading rate, and punch diameter on the bending behaviour of twin-roll cast, rolled and heat-treated AZ31 magnesium alloy was investigated. Therefore, the 3-point bending test was performed at room temperature using an electromechanical testing machine (v = 0.1−10 mm/s) with different punch diameters (D = 2 mm, 8 mm, 16 mm). The initial material has a recrystallized microstructure with grain sizes of 6−9 µm. It is shown by the mechanical investigations that the bending force increases with the sheet thickness. In contrast to this, the bending angle is independent of the sheet thickness. In addition, the punch diameter and the loading rate do not influence the maximum force and the bending angle significantly.

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Section: Resultscontrasting

confidence: 96%

The Effect of Sheet Thickness, Loading Rate and Punch Diameter on the Deformation Behaviour of AZ31 during 3-Point Bending

Berge

Winderlich

Krbetschek

et al. 2016

MSF

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“…In order to model the sigmoidal compressive hardening response commonly observed in hcp materials owing to twinning followed by slip-dominated deformation mechanisms, a limited number of phenomenological models are available in the published literature. Kim et al [30] and Li et al [31] used a Voce-type relation to model the sigmoidal compressive response. Yoon et al [32] used the dose-response law [33] to describe the sigmoidal compressive flow response in the simulation of axial crushing of a tube.…”

Section: Constitutive Modelling (A) a Rate-sensitive Constitutive Equmentioning

confidence: 99%

Rate sensitivity and tension–compression asymmetry in AZ31B magnesium alloy sheet

Kurukuri

Worswick

Tari

et al. 2014

Phil. Trans. R. Soc. A.

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The constitutive response of a commercial magnesium alloy rolled sheet (AZ31B-O) is studied based on room temperature tensile and compressive tests at strain rates ranging from 10 −3 to 10 3 s −1 . Because of its strong basal texture, this alloy exhibits a significant tension–compression asymmetry (strength differential) that is manifest further in terms of rather different strain rate sensitivity under tensile versus compressive loading. Under tensile loading, this alloy exhibits conventional positive strain rate sensitivity. Under compressive loading, the flow stress is initially rate insensitive until twinning is exhausted after which slip processes are activated, and conventional rate sensitivity is recovered. The material exhibits rather mild in-plane anisotropy in terms of strength, but strong transverse anisotropy ( r -value), and a high degree of variation in the measured r -values along the different sheet orientations which is indicative of a higher degree of anisotropy than that observed based solely upon the variation in stresses. This rather complex behaviour is attributed to the strong basal texture, and the different deformation mechanisms being activated as the orientation and sign of applied loading are varied. A new constitutive equation is proposed to model the measured compressive behaviour that captures the rate sensitivity of the sigmoidal stress–strain response. The measured tensile stress–strain response is fit to the Zerilli–Armstrong hcp material model.

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“…3 Li et al 4,5 concluded that for FCC and BCC materials, it is sufficient to describe the anisotropy of aluminum and stainless steel based on the linear transformation method and the generalized stress invariance method. Nevertheless, for HCP materials, twinning is required for the lack of slip systems to accommodate plastic deformation, which causes the most significant anisotropy and asymmetry such as Mg-alloy [6][7][8][9] and Ti-alloy. [10][11][12][13] In earlier research, TCYA was mainly studied with the twosurface plasticity model 14,15 and it is more widely used to incorporate the third stress invariant during the last decade.…”

Section: Introductionmentioning

confidence: 99%

Numerical research on springback law of tension-compression yield asymmetry sheet in multi-point forming

Liu

2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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Springback of SUS430/AA1050/TA1 (SAT) laminated sheet in multi-point forming (MPF) is difficult to predict due to its complex microstructure. In this work, the polycrystalline texture and crystal structure of the three materials were measured firstly by electron backscatter diffraction (EBSD). Crystal plasticity finite element method (CPFEM) considering twinning and slip was used to predict the anisotropy and tension-compression yield asymmetry (TCYA) of the materials. The data obtained by virtual simulation are validated and used to calibrate the phenomenological yield criteria. In the springback prediction model, the three materials were modeled using the layered modeling method. The anisotropic yield criteria were implemented into finite element software ABAQUS via a user-defined material subroutine VUMAT to fully consider the anisotropy of the SAT laminated sheet. The comparison between the forming experiment and simulation results shows that the model can predict the springback accurately. Finally, the effect of plastic deformation, strain path, and TA1 layer thickness on springback were discussed.

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Constitutive law for AZ31B Mg alloy sheets and finite element simulation for three-point bending

Cited by 54 publications

References 16 publications

The Effect of Sheet Thickness, Loading Rate and Punch Diameter on the Deformation Behaviour of AZ31 during 3-Point Bending

The Effect of Sheet Thickness, Loading Rate and Punch Diameter on the Deformation Behaviour of AZ31 during 3-Point Bending

Rate sensitivity and tension–compression asymmetry in AZ31B magnesium alloy sheet

Numerical research on springback law of tension-compression yield asymmetry sheet in multi-point forming

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