热轧过程中的微观组织预测

())](cosh[/221kAAAe-=sy2/1)2/3(ijijeSS=s3/ijijijijSsds-=)](sinh[]2)3([)(21kASAeeijijpij-=∂∂=sssyle&&l&pee&1021)]([sinhgse-⎟⎟⎠⎞⎜⎜⎝⎛--=ddkRAAepe&1A2A0d1gd1gpeeijpijSDes&23=()r⋅-⋅=xXx11&()()()1111lrrSSxHSc-⋅-⋅-⋅⋅=&()SSCCddSrpe&&&-⋅-⋅-⋅-⋅⎟⎟⎠⎞⎜⎜⎝⎛=113210rrerrddd120.5RBrr-=⋅⋅⋅&&21021yy⎟⎟⎠⎞⎜⎜⎝⎛⋅⋅-⎟⎠⎞⎜⎝⎛=ddSGdGd&&ekkeijijDGDls2ˆ+=ijsˆpijTijeijDDD-=TijDlrrrri-=1irrkrC1Gcr1XE1A1g1HμRollsurfaceSlabSymmetric660220R=525SymmetricaneYZ1102.90e-012.49e-012.07e-011.66e-011.24e-018.29e-024.14e-020.00e+0SectionB-BSectionA-ABBAA(a)Effectivestrain(b)DislocationBBAA3.10e-012.66e-012.21e-011.77e-011.33e-018.86e-024.43e-020.00e+00AA3.00e-012.57e-012.14e-011.71e-011.29e-018.57e-024.29e-020.00e+00BB(c)RecrystallisationAA3.00e-012.57e-012.14e-011.71e-011.29e-018.57e-024.29e-020.00e+00BB(d)Grainsize1015202530354000.40.81.21.62Time(s)Grainsize(um)10%20%30%(00.20.40.60.8100.40.81.21.6210%20%30%Time(s)Recrystallization(DisplacementmmEffectiveStrain00.10.20.30.401503004506007509004.14rad/s4.14rad/s3.14rad/s10lingtimeRecrystallizationDisplacement(mm)00.10.20.30.40.501503004506007509002.6rad/s3.14rad/s4.14rad/s110lingtime20253035400150300450600750900Displacement(mm)GrainSize(um)4.14rad/s3.14rad/s2.6rad/sXZAB020406080100120-20-10010203030%20%10%ZDisplacement(mm)EdgeAB(mm)AB