A constitutive law for the thermo-mechanical modelling of magnesium alloy extrusion

Ertürk, S.; Brocks, W.; Bohlen, Jan; Letzig, Dietmar; Steglich, D.

doi:10.1007/s12289-011-1055-6

Cited by 9 publications

(4 citation statements)

References 18 publications

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“…Functions were introduced for the model coefficients [12,33], allowing to account for distortional hardening (distortion of the yield function). The numerical procedure considered in this work adopts a constitutive model presented in [30].…”

Section: Plastic Deformationmentioning

confidence: 99%

Experimental and numerical investigation of Mg alloy sheet formability

Mekonen

Steglich

Bohlen

et al. 2013

Materials Science and Engineering: A

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The current paper explores experimentally and numerically obtained mechanical responses of the Nakazima-type sheet forming for the magnesium alloys ZE10 and AZ31 at elevated temperature (200 • C). The results from the experiments revealed sufficient ductility allowing sheet forming processes at the prescribed test temperature. The material's anisotropy recorded in previous experiments was confirmed. Differences in the mechanical response between the two materials in terms of strain paths during the forming experiments were quantified. The corresponding numerical responses were obtained employing a suitable constitutive model taking into account the characteristic anisotropy in deformation. In addition, for predicting limit conditions of the forming process, the localization criterion by Marciniak and Kuczynski was adopted. The constitutive model together with the localization criterion was implemented in a finite element framework based on a fully implicit time integration scheme. The reasonably good agreement between the responses of the model and the respective experiments indicated the predictive capabilities of the implemented model for the considered magnesium alloys.

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Section: Plastic Deformationmentioning

confidence: 99%

Experimental and numerical investigation of Mg alloy sheet formability

Mekonen

Steglich

Bohlen

et al. 2013

Materials Science and Engineering: A

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“…2 [14,15], allowing to account for distortional hardening (distortion of the yield surface). The viscoplastic rate effect is captured by using a ratedependent hardening variable τY in Eq.…”

Section: Constitutive Model and Localisation Criterionmentioning

confidence: 99%

Experimental and Numerical Formability Analysis of AZ31 and ZE10 Sheets

Steglich

Mekonen

Bohlen

2015

Materials Today: Proceedings

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Experimentally and numerically obtained mechanical responses of Nakazima-type sheet forming tests for the magnesium alloys ZE10 and AZ31 at elevated temperature (200°C) are explored. The results from the experiments reveal sufficient ductility at the prescribed test temperature allowing sheet forming processes. The material's anisotropy as well as the distortional character of hardening is confirmed. Differences in terms of strain paths during the forming experiments between the two materials are quantified. The corresponding numerical responses are obtained employing a suitable plasticity model based on tensor transforms. In addition, for predicting limit conditions of the forming process, the localisation criterion by Marciniak and Kuczynski is adopted. The constitutive model together with the localisation criterion is implemented in a finite element framework based on a fully implicit time integration scheme. The observed differential hardening during plastic deformation is predicted. The reasonably good agreement between the responses of the model and the respective experiments indicate the predictive capabilities of the implemented model for the considered magnesium alloys. The influence of the model parameter identification strategy is demonstrated.

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“…Extensive research has been conducted on the mechanical properties of the ZEK100 alloy, including studies on damage and fracture [16][17][18], warm and hot deformation behavior [19,20], propagative plastic instabilities [21], plastic strain heterogeneity [22], tensioncompression yield asymmetry [23], as well as details of extrusion [24,25], hot rolling [26], warm forming [27], cyclic deformation, fatigue, and anelasticity [28][29][30][31][32][33]. To characterize the properties of ZEK100, plane strain bending using the V-bend test [34] and a threepoint bending test [35] were employed.…”

Section: Introductionmentioning

confidence: 99%

Coexistence of Intermetallic Complexions and Bulk Particles in Grain Boundaries in the ZEK100 Alloy

Straumal

Tsoy

Дружинин

et al. 2023

Metals

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Magnesium-based alloys are highly sought after in the industry due to their lightweight and reliable strength. However, the hexagonal crystal structure of magnesium results in the mechanical properties’ anisotropy. This anisotropy is effectively addressed by alloying magnesium with elements like zirconium, zinc, and rare earth metals (REM). The addition of these elements promotes rapid seed formation, yielding small grains with a uniform orientation distribution, thereby reducing anisotropy. Despite these benefits, the formation of intermetallic phases (IP) containing Zn, Zr, and REM within the microstructure can be a concern. Some of these IP phases can be exceedingly hard and brittle, thus weakening the material by providing easy pathways for crack propagation along grain boundaries (GBs). This issue becomes particularly significant if intermetallic phases form continuous layers along the entire GB between two neighboring GB triple junctions, a phenomenon known as complete GB wetting. To mitigate the risks associated with complete GB wetting and prevent the weakening of the alloy’s structure, understanding the potential occurrence of a GB wetting phase transition and how to control continuous GB layers of IP phases becomes crucial. In the investigation of a commercial magnesium alloy, ZEK100, the GB wetting phase transition (i.e., between complete and partial GB wetting) was successfully studied and confirmed. Notably, complete GB wetting was observed at temperatures near the liquidus point of the alloy. However, at lower temperatures, a coexistence of a nano-scaled precipitate film and bulk particles with nonzero contact angles within the same GB was observed. This insight into the wetting transition characteristics holds potential to expand the range of applications for the present alloy in the industry. By understanding and controlling GB wetting phenomena, the alloy’s mechanical properties and structural integrity can be enhanced, paving the way for its wider utilization in various industrial applications.

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A constitutive law for the thermo-mechanical modelling of magnesium alloy extrusion

Cited by 9 publications

References 18 publications

Experimental and numerical investigation of Mg alloy sheet formability

Experimental and numerical investigation of Mg alloy sheet formability

Experimental and Numerical Formability Analysis of AZ31 and ZE10 Sheets

Coexistence of Intermetallic Complexions and Bulk Particles in Grain Boundaries in the ZEK100 Alloy

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