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 (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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|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]]
 
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[[Category: mesoscale]]
[[image:rolling_texture_pcys.jpg|thumb|350px|Figure 1. (a)Initial texture; (b) rolled texture; (c)yield surfaces at various rolling strain levels.]]
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[[Category: aluminum]]
 
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[[Category: VPSC]]
 
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The input data (fcc.sx) for Aluminum rolling simulation as follows:
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{|border  ="0"
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|<pre>
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*Material: Aluminum
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cubic          crysym
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  1.0  1.0  1.0  90.  90.  90.  unit cell axes and angles
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Elastic stiffness (single crystal [GPa]; scaled=0.85xINTERPOLATED)
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108.2  61.3  61.3  000.0  000.0  000.0
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61.3  108.2  61.3  000.0  000.0  000.0
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61.3  61.3  108.2  000.0  000.0  000.0
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000.0  000.0  000.0  28.5  000.0  000.0
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000.0  000.0  000.0  000.0  28.5  000.0
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000.0  000.0  000.0  000.0  000.0  28.5
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*Thermal expansion coefficients (single crystal in crystal axis):
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10.0e-6  10.0e-6  10.0e-6  0.0e0  0.0e0  0.0e0                    "alfacc"
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*Info about slip & twinning modes in this file:
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  2          nmodesx    (total # of modes listed in file)
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  1          nmodes    (# of modes to be used in the calculation)
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  1          mode(i)    (label of the modes to be used)
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  <111>{110} SLIP
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1  12  20  1                          modex,nsmx,nrsx,iopsysx
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0.000  0      0.000  0.000          twshx,isectw,thres1,thres2
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3.7    30.0    20.0    0.0    0.  0.  tau0,tau1,thet0,thet1 ,hpfac,gndfac
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      1.0  1.0                        hlat(nmodes)
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  1  1  1        0  1 -1
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  1  1  1        1  0 -1
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  1  1  1        1 -1  0
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  -1  1  1        0  1 -1
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  -1  1  1        1  0  1
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  -1  1  1        1  1  0
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  -1 -1  1        0  1  1
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  -1 -1  1        1  0  1
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  -1 -1  1        1 -1  0
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  1 -1  1        0  1  1
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  1 -1  1        1  0 -1
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  1 -1  1        1  1  0
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  <111>{112} TWIN
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2  12  20  0                          modex,nsmx,nrsx,iopsysx
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0.707  0      0.100  0.500          twshx,isectw,thres1,thres2
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1.0    0.0    0.0    0.0    0.  0.  tau0,tau1,thet0,thet1 ,hpfac,gndfac
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      1.0  1.0                        hlat(nmodes)
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  1  1  1      -2  1  1
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  1  1  1        1 -2  1
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  1  1  1        1  1 -2
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  -1  1  1        2  1  1
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  -1  1  1      -1 -2  1
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  -1  1  1      -1  1 -2
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  -1 -1  1        2 -1  1
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  -1 -1  1      -1  2  1
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  -1 -1  1      -1 -1 -2
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  1 -1  1      -2 -1  1
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  1 -1  1        1  2  1
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  1 -1  1        1 -1 -2
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</pre>
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|}
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== Results ==
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== Acknowledgments ==
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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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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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