Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets

Lee, Myoung‐Gyu; Wagoner, R. H.; Lee, J.K.; Chung, Kwansoo; Kim, H.Y.

doi:10.1016/j.ijplas.2007.05.004

Cited by 154 publications

(62 citation statements)

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“…Stoughton and Yoon (2004) proposed a non-AFR based on a pressure sensitive yield description with isotropic hardening to account the strength differential effect (SDE) that was consistent with the Spitzig and Richmond (1984) results. Lee et al (2008) developed a continuum plasticity model to consider the unusual plastic behavior of magnesium alloy in finite element analysis. A hardening law based on two-surface model was further extended to consider the general stressstrain response of sheet metals including the Bauschinger effect, transient behavior and unusual asymmetry.…”

Section: Introductionmentioning

confidence: 99%

Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals

Moayyedian

Kadkhodayan

2015

Lat. Am. j. solids struct.

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A bstract In the current research to model anisotropic asymmetric sheet metals a new non-AFR criterion is presented. In the new model, Modified Yld2000-2d proposed by Lou et al. (2013) is considered as yield function and Yld2000-2d proposed by Barlat et al. (2003) is considered as plastic potential function. To calíbrate the presented criterion, the yield function which is a pressure dependent criterion requiers ten directional yield stresses such as uniaxial tensile stresses in three directions of 0°, 45°, 90°, uniaxial compressive yield stresses in six directions of 0°, 15°, 30°, 45°, 75°, 90° from the rolling direction along with biaxial yield stress. Moreover, the plastic potential function which is a pressure indepedent criterion needs eight experimental data points such as tensile R-values in seven directions of 0°, 15°, 30°, 45°, 60°, 75°, 90° from the rolling direction and also biaxial tensile R-value. Finally with comparing the obtained results with experimental data points, it is shown that the presented non-AFR criterion predicts compressive yield stress, biaxial tensile yield stress and R-values more accurately than Modified Yld2000-2d and it would be considered as a new criterion for anisotropic asymmetric metals. KeywordsYld2000-2d, Modified Yld2000-2d, Anisotropic asymmetric yield functions, Non-associated flow rule, Downhill Simplex Method.

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Section: Introductionmentioning

confidence: 99%

Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals

Moayyedian

Kadkhodayan

2015

Lat. Am. j. solids struct.

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“…Given the strong correlation between plasticity in magnesium and its formability, many research groups have carried out experiments and theoretical analysis to explain and predict the deformation mechanisms of magnesium subjected to various boundary value problems (Agnew et al, 2006;Beyerlein et al, 2011;Choi et al, 2010;Cipoletti et al, 2011;Fernandez et al, 2011;Khan et al, 2006;Lévesque et al, 2010;Lee et al, 2008a;Li et al, 2010;Mayama et al, 2011;Proust et al, 2009;Staroselsky and Anand, 2003;Walde and Riedel, 2007a;Wang et al, 2010a). Theoretically, crystal plastic model has been proved to be an effective way to capture the activation of different plastic deformation mechanisms at the microscopic level.…”

Section: Introductionmentioning

confidence: 99%

“…Experimentally, the temperature dependence of the critical resolved shear stress (CRSS) for basal hai slips (Graff et al, 2007), prism hai slip (Cazacu et al, 2006;Lee et al, 2008a), and second-order pyramidal hc + ai slips (Agnew and Duygulu, 2005;Lee et al, 2009;Lévesque et al, 2010) have been explored. It is interesting to see that in contrast to the other two groups, Ando and Tonda (2000) reported larger CRSS in second-order pyramidal hc + ai slips at higher temperatures.…”

Section: Introductionmentioning

confidence: 99%

A polycrystal based numerical investigation on the temperature dependence of slip resistance and texture evolution in magnesium alloy AZ31B

Liu

Wei

2014

International Journal of Plasticity

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a b s t r a c tLow thermoplastic formability is a key factor limiting the usage of magnesium alloys, which otherwise can have broad application in automotive industry for their competitive strength to density ratio. Combining with experimental calibration and validation, we report a systematic numerical investigation about the plastic deformation of magnesium alloy AZ31B at different temperatures and subjected to different boundary conditions. By employing 3D Voronoi grains based microstructure and the crystal plasticity constitutive model developed by Staroselsky and Anand (2003), which accounts for both dislocation slip and deformation twinning in polycrystalline magnesium, we estimate the dependence of critical resolved shear stresses (CRSS) of different slip/twinning systems on temperature. We further obtain the fractional plastic strains contributed by individual slip/twinning systems at different loading conditions. Grain level deformation analysis indicates that there exists significant stress and plasticity inhomogeneity among grains.

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“…[15] A number of studies have examined strain paths other than uniaxial tension or compression, e.g., ring hoop tension [16] or simple shear. [17] The forming of magnesium has been examined using forming limit diagrams [18][19][20] and through simplified forming tests such as deep drawing [21] and bending [22] (including spring back [23,24] ). Further, testing relevant to crash performance of a potential magnesium-intensive front end has been conducted by tests of bending and crushing of magnesium tubes.…”

Section: Introductionmentioning

confidence: 99%

Biaxial Deformation of the Magnesium Alloy AZ80

Tomlinson

Azizi-Alizamini

Poole

et al. 2013

Metall Mater Trans A

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The multiaxial deformation of magnesium alloys is important for developing reliable, robust models for both the forming of components and also analysis of in-service performance of structures, for example, in the case of crash worthiness. The current study presents a combination of unique biaxial experimental tests and biaxial crystal plasticity simulations using a visco-plastic self-consistent (VPSC) formulation conducted on a relatively weak AZ80 cast texture. The experiments were conducted on tubular samples which are loaded in axial tension or compression along the tube and with internal pressure to generate hoop stresses orthogonal to the axial direction. The results were analyzed in stress and strain space and also in terms of the evolution of crystallographic texture. In general, it was found that the VPSC simulations matched well with the experiments. However, some differences were observed for cases where basal hai slip and 10 " 12 È É extension twinning were in close competition such as in the biaxial tension quadrant of the plastic potential. The evolution of texture measured experimentally and predicted from the VPSC simulations was qualitatively in good agreement. Finally, experiments and VPSC simulations were conducted on a second AZ80 material which had a stronger initial texture and a higher level of mechanical anisotropy. In the previous case, the agreement between experiments and simulations was good, but a larger difference was observed in the biaxial tension quadrant of the plastic potential.

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Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets

Cited by 154 publications

References 50 publications

Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals

Combination of modified Yld2000-2d and Yld2000-2d in anisotropic pressure dependent sheet metals

A polycrystal based numerical investigation on the temperature dependence of slip resistance and texture evolution in magnesium alloy AZ31B

Biaxial Deformation of the Magnesium Alloy AZ80

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