Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

Hama, Takayuki; Takuda, Hirohiko

doi:10.1016/j.ijplas.2010.11.004

Cited by 135 publications

(96 citation statements)

References 61 publications

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“…Hama and Takuda [3] claimed that the activity of the basal slip systems depends on the inhomogeneity of the materials. In addition, homogeneous deformation is possible only when the second-order pyramidal slip systems are active, i.e.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Rolling Conditions on Deformation Behavior of Magnesium Alloy Sheets

et al. 2015

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The inuence of texture on deformation behavior was investigated for conventionally rolled magnesium alloy slabs and rolled twin roll cast magnesium alloy strips in the form of sheets. The MgZn based sheets were deformed at room temperature with the tensile axis oriented in the rolling and transversal directions. The texture with respect to dierent rolling conditions was characterized by X-ray diraction. In the case of MgZnrare earth alloy sheets, the basal pole intensity, aligned with the sheet normal direction, is lower for conventionally rolled sheet in comparison to the rolled twin roll cast strip. Dierence in angular distribution of basal planes inuences on the mechanical behavior of the sheets. The yield strength is higher for the tension along rolling direction than along transversal direction for the conventionally rolled sheets, whereas the opposite deformation behavior is observed for the rolled twin roll cast strips. Furthermore, the planar anisotropy of the yield strength is less pronounced for the rolled twin roll cast strips. The deformation behavior of the sheets was also investigated by the acoustic emission technique. The acoustic emission signal analysis correlates the microstructure and the stresstime curves with active deformation mechanisms. It highlights the activity of a basal slip and tensile twinning, particularly during the transverse direction tension.

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Section: Introductionmentioning

confidence: 99%

The Influence of Rolling Conditions on Deformation Behavior of Magnesium Alloy Sheets

et al. 2015

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“…9,10,12) Because the program is on the basis of the rate form of the principle of virtual work, 37) Eqs. (1), (2), and (8) were utilized in their rate forms.…”

Section: Crystal Plasticity Finite-element Methodsmentioning

confidence: 99%

“…1,3) On the other hand, owing to recent advances in numerical technique and computational power, crystal-plasticity models are recently employed also to quantitative prediction of work-hardening behavior such as stress-strain curves and contour of plastic work. So far, the deformation behavior in face-centered cubic (fcc) 7,8) and hexagonal close-packed (hcp) [9][10][11][12] materials is able to be predicted fairly well using crystal-plasticity models. In contrast, the prediction accuracy of deformation in body-centered cubic (bcc) metals is still poor as compared to fcc and hcp metals.…”

Section: Introductionmentioning

confidence: 99%

Crystal Plasticity Finite-element Simulation on Development of Dislocation Structures in BCC Ferritic Single Crystals

et al. 2017

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The role of {112} slip activity on the deformation of bcc ferritic single crystals with different crystallographic orientations was studied numerically using a crystal plasticity finite-element method. Peeters model [Peeters et al., Acta Mater., 49 (2001), 1607] was utilized to predict development of dislocation structures as well as work-hardening behavior. To examine the effect of the {112} slip activity in detail, the simulation was carried out using original Peeters model in which development of cell-block boundaries (CBBs) along the {112} planes was not taken into account, Peeters model in which development of CBBs along the {112} planes was taken into account (extended-1 model), and Peeters model in which {112} slip activity was not taken into consideration (extended-2 model). The predicted stress-strain curves were in qualitatively good agreement with the experimental results for all cases when the original and extended-1 models were used, whereas two-stage work hardening observed for the crystal with {100} < 011 > was not predicted when the extended-2 model was used. Concerning development of CBBs, the extended-1 and extended-2 models gave better prediction as compared to the original model. The abovementioned results suggested that the extended-1 model gave the most appropriate predictions among the models in terms of work-hardening behavior and development of CBBs, showing that it was more reasonable to take into account both {110} and {112} slip systems and development of CBBs along not only the {110} planes but also the {112} planes.KEY WORDS: ferritic single crystal; crystal plasticity finite-element method; dislocation structure; workhardening behavior; body-centered cubic metal.

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“…the instantaneous reverse movement of the mobile dislocations. 18,22,24) The authors 24) have examined the effect of the strain rate sensitivity exponent on the stressstrain curve during unloading in a Mg alloy sheet using the crystal plasticity finite-element method. It was found that the initial rapid decrease does not occur when the strain rate sensitivity exponent is set to nearly zero, whereas it is more pronounced as the strain rate sensitivity exponent becomes large.…”

Section: Relationship Between Nonlinearity and Apparent Elastic Modulusmentioning

confidence: 99%

“…We also depicted that the nonlinear deformation during unloading in the Mg alloy sheet can be predicted well using a crystal plasticity finiteelement simulation. 24,25) The aforementioned studies exhibited that the nonlinear deformation during unloading is observed in various metal sheets and the nonlinearity during unloading plays an important role in the springback prediction. Recently the nonlinear effects are being taken into account in the constitutive models.…”

Section: Introductionmentioning

confidence: 99%

Non-linear Deformation Behavior during Unloading in Various Metal Sheets

et al. 2015

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The deformation behavior during unloading was examined under uniaxial tension in a mild steel sheet (body-centered cubic metal), an aluminum alloy sheet (face-centered cubic metal), and a magnesium alloy sheet (hexagonal close packed metal). A crystal plasticity finite-element method was also used to investigate the difference in the deformation behavior among on the materials. The nonlinearity during unloading was the largest in the magnesium alloy sheet, and the mild steel sheet showed a larger nonlinearity than the aluminum alloy sheet. On the other hand, the apparent elastic moduli determined from the linear approximation of unloading curves were not always consistent with the characteristics observed in the nonlinearity, and this inconsistency became pronounced as the degree of nonlinearity increased. It was found that the degree of nonlinearity would have a strong correlation with the strain rate sensitivity, suggesting that the apparent elastic modulus was not suitable to model the unloading behavior for materials with high strain rate sensitivity. The crystal plasticity analysis demonstrated that the nonlinearity was much larger in the magnesium alloy sheet than in the other two sheets as observed in the experimental results. The simulation results suggested that one of the reasons that gave rise to the nonlinearity during unloading would be the difference in the critical resolved shear stresses among the slip systems.

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Crystal-plasticity finite-element analysis of inelastic behavior during unloading in a magnesium alloy sheet

Cited by 135 publications

References 61 publications

The Influence of Rolling Conditions on Deformation Behavior of Magnesium Alloy Sheets

The Influence of Rolling Conditions on Deformation Behavior of Magnesium Alloy Sheets

Crystal Plasticity Finite-element Simulation on Development of Dislocation Structures in BCC Ferritic Single Crystals

Non-linear Deformation Behavior during Unloading in Various Metal Sheets

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