Yield surface prediction of Aluminum on rolling

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== Abstract ==
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{{template:Research_Paper
  
Rolling of polycrystalline aggregates of Aluminum was investigated by employing the Visco-plastic self-consistent polycrystal (VPSC) model. The starting texture is a series crystals represented by five hundred random orientations. Rolled texture and yield surfaces at rolling strain levels of -0.5, -1.0, -1.5, -2.0 and -2.5 were captured by VPSC modeling. The predicted texture showed a typical rolled texture components and the yield surfaces showed anisotropic shape and a saturation tendency.
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|abstract=Rolling of polycrystalline aggregates of Aluminum was investigated by employing the Visco-plastic self-consistent polycrystal (VPSC) model. The starting texture is a series crystals represented by five hundred random orientations. Rolled texture and yield surfaces at rolling strain levels of -0.5, -1.0, -1.5, -2.0 and -2.5 were captured by VPSC modeling. The predicted texture showed a typical rolled texture components and the yield surfaces showed anisotropic shape and a saturation tendency.
  
Author(s): Q. Ma, E.B. Marin, M.F. Horstemeyer
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|authors=Q. Ma, E.B. Marin, M.F. Horstemeyer
  
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|animation=
  
== Methodology ==
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|images=
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{{paper_figure|image=rolling_texture_pcys.jpg|image caption=Figure 1. Rolling simulation of polycrystal Aluminum. (a)Initial texture; (b) rolled texture; (c)yield surfaces at various rolling strain levels}}
  
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|methodology=Aluminum conducts rolling through only {111}<011> slips at room temperature. A starting texture represented by 500 random orientations was shown in Figure 1a. Single crystal parameters were listed in FCC.SX file as follow. The self-hardening and latent hardening were set equal to one in this example. The rolling boundary conditions were set as: restricted 2 direction (transverse direction), 1 direction (rolling direction) was free and 3 direction (normal direction) conducted rolling strain. The final rolled texture is displayed in Figure 1b. The yield surfaces at each strain levels were captured by VPSC modeling as shown in Figure 1c.
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|material model= [[Code:_VPSC|VPSC]]: ViscoPlastic Self-Consistent
  
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|input deck=
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See [[VPSC Input Deck for Yield_surface_prediction_of_Aluminum_on_rolling]]
  
Aluminum conducts rolling through only {111}<011> slips at room temperature. A starting texture represented by 500 random orientations was shown in Figure 1a. Single crystal parameters were listed in FCC.SX file. self-hardening and latent hardening were set equal to one in this example. The rolling boundary conditions were set as: restricted 2 direction (transeviser direction), 1 direction was free and 3 direction  selected aTypical deformation modes in magnesium are basal <a>-{0002}<11-20> slip, prismatic <a>-{10-10}<11-20> slip, second pyramidal <c+a>-{11-22}<11-23> slip and extension twinning {10-12}<10-11>. In this study, a commercial extruded AM30 alloy (mass %, 2.54% Al, 0.40% Mn, Mg in balance) was selected as the HCP experimental material to conduct channel die compression at high temperature 200C and at strain rate of 0.001/S to strain 30%. At these loading conditions, twinning would not be profuse and, hence, only slip will be the predominant deformation mode. The hardening parameters of the three slips modes were obtained using material point simulations to fit the experimental stress-strain curve recorded from the channel die compression test as shown in Figure 1d.
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|results=Rolling process of polycrystal Aluminum was simulated by VPSC model. The typical rolled texture components and the yield surfaces at various strain levels can by captured by the VPSC model. VPSC can also capture both the crystal scale parameters (single crystal hardening parameters) and macroscale property (yield surfaces, stress-strain responses) of the polycrystalline aggregrate.
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|acknowledgement=The authors are grateful to the financial support from the Department of Energy, Contract No. DE-FC-26-06NT42755, and the Center for Advanced Vehicular Systems (CAVS) at Mississippi State University.
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|references=none
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}}
  
 
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[[Category: Research Paper]]
The texture of AM30 was measured by X-ray diffraction method (XRD). The recalculated pole figures were calculated based on the orientation distribution functions (ODFs) which was obtained using the measured six incomplete pole figures {10-10}, {0002}, {10-11},{10-12}, {11-20} and {10-13}. The initial and the channel die compressed texture of AM30 plotted by the texture software MTEX [http://code.google.com/p/mtex/].
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[[Category: mesoscale]]
 
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[[Category: aluminum]]
The commercial finite element software ABAQUS 6.9 and a user subroutine UMAT incorporating the crystal plasticity constitutive theory and the magnesium AM30 materials parameters were used to simulate texture evolution and mechanical response. The initial texture used in this CPFEM simulation was measured in the undeformed sample and was represented by 343 discrete orientations as shown in Figure 1a. The 3D polycrystal is represented by the 3D Voronoi grains created by the code Neper [http://neper.sourceforge.net/].  The undeformed polycrystal and the channel die compressed 3D polycrystal up to a strain of 30% are presented in Figures 1b and 1c.The simulated and measured channel die compression stress-strain curves are presented in Figure 1e.
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[[Category: VPSC]]

Latest revision as of 10:03, 29 May 2014

AbstractMethodologyMaterial ModelInput DataResultsAcknowledgmentsReferences

Abstract

Rolling of polycrystalline aggregates of Aluminum was investigated by employing the Visco-plastic self-consistent polycrystal (VPSC) model. The starting texture is a series crystals represented by five hundred random orientations. Rolled texture and yield surfaces at rolling strain levels of -0.5, -1.0, -1.5, -2.0 and -2.5 were captured by VPSC modeling. The predicted texture showed a typical rolled texture components and the yield surfaces showed anisotropic shape and a saturation tendency.

Author(s): Q. Ma, E.B. Marin, M.F. Horstemeyer


Figure 1. Rolling simulation of polycrystal Aluminum. (a)Initial texture; (b) rolled texture; (c)yield surfaces at various rolling strain levels (click on the image to enlarge).

Methodology

Aluminum conducts rolling through only {111}<011> slips at room temperature. A starting texture represented by 500 random orientations was shown in Figure 1a. Single crystal parameters were listed in FCC.SX file as follow. The self-hardening and latent hardening were set equal to one in this example. The rolling boundary conditions were set as: restricted 2 direction (transverse direction), 1 direction (rolling direction) was free and 3 direction (normal direction) conducted rolling strain. The final rolled texture is displayed in Figure 1b. The yield surfaces at each strain levels were captured by VPSC modeling as shown in Figure 1c.

Material Model

VPSC: ViscoPlastic Self-Consistent

Input Data

See VPSC Input Deck for Yield_surface_prediction_of_Aluminum_on_rolling

Results

Rolling process of polycrystal Aluminum was simulated by VPSC model. The typical rolled texture components and the yield surfaces at various strain levels can by captured by the VPSC model. VPSC can also capture both the crystal scale parameters (single crystal hardening parameters) and macroscale property (yield surfaces, stress-strain responses) of the polycrystalline aggregrate.

Acknowledgments

The authors are grateful to the financial support from the Department of Energy, Contract No. DE-FC-26-06NT42755, and the Center for Advanced Vehicular Systems (CAVS) at Mississippi State University.

References

none

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