Study of Metadynamic Recrystallization Phenomena
        in Coarse Grained Nb Microalloyed Austenite




    STUDY OF METADYNAMIC
RECRYSTALLIZATION PHENOMENA IN
COARSE GRAINED Nb MICROALLOYED
           AUSTENITE


    P. Uranga, A.I. Fernández, B. López and
               J.M. Rodriguez-Ibabe

    CEIT and Univ. of Navarra, Pº M. Lardizábal 15,
    20018 - San Sebastian, Basque Country (Spain)
Study of Metadynamic Recrystallization Phenomena
           in Coarse Grained Nb Microalloyed Austenite



                     Introduction

Thin Slab Casting Technology
– Coarse Grained As-cast Austenite Structure
– Microalloying Elements in Solution
– High Deformation in First Stands
Possibility of Dynamic Recrystallization?
Study of Post-Dynamic Softening
Microstructural Modeling
Study of Metadynamic Recrystallization Phenomena
                          in Coarse Grained Nb Microalloyed Austenite


          Dynamic Recrystallization in First Stand?
                                                                        Critical Strain
0.035% Nb                                                                                                                          1120
                                0.6
                                                                                                                                   1100
Strain rate: 5   s-1                         0.7
                                                                                                                                   1080
                                                            0.8




                                                                                                                                          T(ºC)
                                                                                                                                   1060
                                                                           0.9
                                                                                                                                   1040
                                                                                              1.0
                                                                                                                                   1020
                                                                                                             1.1
                                                                                                                                   1000
                          100

                                 200

                                       300

                                              400

                                                    500

                                                          600

                                                                  700

                                                                         800

                                                                                 900

                                                                                       1000

                                                                                               1100

                                                                                                      1200

                                                                                                              1300

                                                                                                                     1400

                                                                                                                            1500
                                                                D0 (μm)

• Onset of Dynamic Recrystallization for Reductions > 55%, ε > 0.8
• Softening Mechanisms for Strains Higher than Critical Strain
Study of Metadynamic Recrystallization Phenomena
              in Coarse Grained Nb Microalloyed Austenite




Usually when:
  ε > εc               Dynamic                       Metadynamic
                       Recrystallization             Recrystallization
Recently, Bai et al. (2000):

 Metadynamic
                                    ε > εT       With εT = 1.5· εp
 Recrystallization


Transition between different regions
Study of Metadynamic Recrystallization Phenomena
               in Coarse Grained Nb Microalloyed Austenite



      Material and Experimental Procedure

 C        Mn             Si               S           P        Nb            N
0.1       1.42          0.31            0.008       0.018     0.035       0.0053


  T
       1400 ºC
                                                Strains between εc and ε = 4

                   ε1    tip   ε2               ε = 1 s −1 → t ip = 1 s
                                                &
          1100ºC


                                                ε = 5 s −1 → t ip = 0.3 s
                                                &


                                    t
Study of Metadynamic Recrystallization Phenomena
                                                         in Coarse Grained Nb Microalloyed Austenite



                                               Influence of Strain on Softening
                            1                                                                                      1
                                     T = 1100ºC               Strain rate = 1 s
                                                                                  -1
                                                                                                                            T = 1100ºC                Strain rate = 5 s-1
                                                              t=1s                                                                                    t = 0.3 s




                                                                                           Fractional Softening
    Fractional Softening




                           0.8                                                                                    0.8
                                           εT = 1.3
                           0.6                                                                                    0.6                    εT = 1.7


                           0.4                                                                                    0.4


                           0.2                                                                                    0.2
                                        εC = 0.6
                                                                                                                               εC = 0.75
                            0                                                                                      0
                                 0         1          2            3     4             5                                0         1          2            3      4          5
                                                          Strain                                                                                 Strain



• Strain dependent softening for strains higher than εc
                                                                                                                                                              εT = 2.2·εc
• Strain independent behaviour for strains higher than εT
Study of Metadynamic Recrystallization Phenomena
   in Coarse Grained Nb Microalloyed Austenite




Modeling Softening Kinetics
               200
                                                  T = 1100ºC
                                                                  -1
                                                  Strain rate=1 s
                         εc        εT
               150
Stress (MPa)




               100



                50       I    II            III



                 0
                     0         1        2         3        4           5
                                        Strain
Study of Metadynamic Recrystallization Phenomena
                                       in Coarse Grained Nb Microalloyed Austenite



                                    Modeling Softening Kinetics

               200
                                                  T = 1100ºC
                                                                           •Range I: (ε < εc)
                                                                  -1
                                                  Strain rate=1 s
                         εc        εT                                      Static Recrystallization
               150
Stress (MPa)




                                                                           •Range III: (εT < ε)
               100
                                                                           Metadynamic Recrystallization
                50       I    II            III
                                                                           •Range II: (εc <ε < εT)
                 0                                                         Static and Metadynamic
                     0         1        2         3        4           5
                                                                           Recrystallization
                                        Strain
Study of Metadynamic Recrystallization Phenomena
             in Coarse Grained Nb Microalloyed Austenite




εT : Critical Value to achieve the minimum
dynamic recrystallized fraction for a complete
post-dynamic softening by metadynamic
recrystallization
Coarse Grained Austenite: εc High
Industrial Conditions:
– εT much higher than applied strain
– Deformation and Softening Mechanisms: Ranges I / II
Study of Metadynamic Recrystallization Phenomena
             in Coarse Grained Nb Microalloyed Austenite


        Different Softening Mechanisms

Range I (ε < εc): Static Recrystallization
 – Initial Grain Size       t0.5 SRX = f (D0 ,ε ,ε ,[Nb ],T )
                                                 &
 – Strain
 – Strain Rate
 – Temperature

Range III (εΤ < ε): Metadynamic Recrystallization
 – Strain Rate            t0.5 MDRX = f (ε ,T )
                                         &
 – Temperature
                                     Grain Refinement
Study of Metadynamic Recrystallization Phenomena
                  in Coarse Grained Nb Microalloyed Austenite



               Modeling Softening Kinetics
Region II (εc < ε < εT): Static and Metadynamic Recrystallization

                                             ⎡         ⎛  ⎛              t      ⎞ ⎞⎤
                       X MDRX =     MDRX
                                   Xf    ⎢1 − exp⎜ − 0.693⎜
                                                          ⎜                     ⎟ ⎟⎥
                                                                                ⎟⎟
                                                 ⎜
                                             ⎢
                                             ⎣         ⎝          ⎝ t 0.5MDRX   ⎠ ⎠⎥
                                                                                   ⎦

                                       ⎡         ⎛    ⎛           t      ⎞ ⎞⎤
X = X MDRX + X SRX     X SRX =   X f ⎢1 − exp
                                   SRX       ⎜ − 0.693⎜                  ⎟ ⎟⎥
                                             ⎜        ⎜                  ⎟⎟
                                       ⎢
                                       ⎣         ⎝          ⎝ t 0.5SRX   ⎠ ⎠⎥
                                                                            ⎦

                                    ε − εc
                        MDRX
                       Xf        =                   X SRX = 1 − X f
                                                                   MDRX
                                   εT − εc             f
Study of Metadynamic Recrystallization Phenomena
                                                  in Coarse Grained Nb Microalloyed Austenite



                                               Modeling Softening Kinetics

                        1                                                                                         1

                                  XSRX
                       0.8                                                                                       0.8




                                                                                          Fractional Softening
Fractional Softening




                                          εT                XMDRX                                                               XSRX   εT               XMDRX
                       0.6                                                                                       0.6

                                 εc
                       0.4                                                                                       0.4
                                           X                                                                               εc
                                                                                 -1
                       0.2                                   Strain rate = 1 s                                   0.2                   X
                                                             t=1s                                                                                   Strain rate = 5 s-1
                                                                                                                                                    t = 0.3 s
                        0                                                                                         0
                             0        1        2            3         4               5                                0        1      2            3          4          5
                                                   Strain                                                                                  Strain
Study of Metadynamic Recrystallization Phenomena
                                                  in Coarse Grained Nb Microalloyed Austenite



                                                                 Modeling
                                      Post-Dynamic Softening with Time
                        1
                             Strain = 0.9
                             Strain rate = 1 s-1                         • Applied Strain in Range II
Fractional Softening




                       0.8


                       0.6
                                                                         • Sum of Individual
                                                                           Components: Overall
                       0.4
                                                        XMDRX              Softening
                       0.2
                                                       XSRX

                        0
                         0.01       0.1            1   10       100
                                            Time (s)
Study of Metadynamic Recrystallization Phenomena
                               in Coarse Grained Nb Microalloyed Austenite


                                    Modeling
                       Dependence of t0.5 with Applied Strain

      100

                                                                 • Below εc: Strong dependence
           10
                                                                   on strain
                           εc εp εT

                                                                 • ε > εT: Strain independent
t0.5 (s)




            1
                                      T = 1100ºC                 • εc< ε < εT: Correct Prediction
                                      Strain rate = 1 s-1
                                      D0 = 806 μm
           0.1
                 0.1           1                            10
                             Strain
Study of Metadynamic Recrystallization Phenomena
           in Coarse Grained Nb Microalloyed Austenite


    Modeling Microstructural Evolution

Thin Slab Casting and Direct Rolling Technology
– Heterogeneous Initial Grain Size
– Solid Solution

Recrystallization delayed
Need of a Model taking into account these
singularities
Study of Metadynamic Recrystallization Phenomena
              in Coarse Grained Nb Microalloyed Austenite


     Modeling Microstructural Evolution

Initial variables:
– Processing variables: Strain, strain-rate, temperature…
– Initial Grain Size Distribution
Static and Metadynamic Softening
Interaction with Precipitation
Grain Size Evolution
Outputs:
– Recrystallized and Unrecrystallized Grain Size
  Distributions at the entry of any rolling pass
Study of Metadynamic Recrystallization Phenomena
                 in Coarse Grained Nb Microalloyed Austenite




                         Model Validation

Torsion Test Schedule                        Initial Grain Size Distribution
T                                                               30
    1400 ºC
                                                                25




                                                Frequency (%)
                       ε = 0.93                                 20
                       strain rate = 5 s-1
                       T = 1080ºC                               15
     1100 ºC
      (20 min)                                                  10

                   T = 1000ºC                                    5

                                                                 0
                                                                     0   500   1000   1500   2000   2500   3000
                                                                               Grain Size (μm)


                                      t

                                               Mean Grain Size: 806 μm
Study of Metadynamic Recrystallization Phenomena
   in Coarse Grained Nb Microalloyed Austenite




  Model Validation Results

                                           0.4
                                                       Model
                                                       Experimental
                                           0.3




                           Area Fraction
                                           0.2



                                           0.1



                                            0
                                                 20    100     180    260   340   420   500
                                                               Grain Size (μ m)


                                                      XSRX = 0.86
                                                      XMDRX = 0.12
Study of Metadynamic Recrystallization Phenomena
                                            in Coarse Grained Nb Microalloyed Austenite



                                         Comparison between models
                                                                                                                       Classical
New Model                                                                                                              Approach
                0.4                                                                    0.4
                           Model                            a)                                    Model                             b)
                           Experimental                                                           Experimental
                0.3                                                                    0.3
Area Fraction




                                                                       Area Fraction
                0.2                                                                    0.2



                0.1                                                                    0.1



                 0                                                                      0
                      20   100     180    260   340   420        500                         20   100     180    260    340   420    500
                                   Grain Size (μm)                                                        Grain Size (μm)
Study of Metadynamic Recrystallization Phenomena
             in Coarse Grained Nb Microalloyed Austenite



                    Conclusions
Results show that once the applied strain is higher than
the critical value εc, there is a transition regime
between εc and εT where both classical static and
metadynamic recrystallization softenings intervene.
In the analyzed 0.035%Nb microalloyed steel, for the
case of coarse initial grain sizes, a value of the
transition strain equal to εT = 2.2·εc has been obtained.
 Taking into account the typical reductions of the first
rolling passes, real situations will correspond to fully
classical static recrystallization (ε < εc) or to mixed
conditions (ε > εc).
Study of Metadynamic Recrystallization Phenomena
            in Coarse Grained Nb Microalloyed Austenite



               Conclusions (II)
The model considers a mean recrystallized
microstructure combining both classical static and
metadynamic grains through the law of mixtures.
The model predictions have been validated with
specific tests. The model leads to good predictions when
both static and metadynamic softening are included for
applied strains ε > εc. Some important divergences are
observed if only metadynamic softening is considered.
Study of Metadynamic Recrystallization Phenomena
   in Coarse Grained Nb Microalloyed Austenite

Study of Metadynamic Recrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite

  • 1.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite STUDY OF METADYNAMIC RECRYSTALLIZATION PHENOMENA IN COARSE GRAINED Nb MICROALLOYED AUSTENITE P. Uranga, A.I. Fernández, B. López and J.M. Rodriguez-Ibabe CEIT and Univ. of Navarra, Pº M. Lardizábal 15, 20018 - San Sebastian, Basque Country (Spain)
  • 2.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Introduction Thin Slab Casting Technology – Coarse Grained As-cast Austenite Structure – Microalloying Elements in Solution – High Deformation in First Stands Possibility of Dynamic Recrystallization? Study of Post-Dynamic Softening Microstructural Modeling
  • 3.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Dynamic Recrystallization in First Stand? Critical Strain 0.035% Nb 1120 0.6 1100 Strain rate: 5 s-1 0.7 1080 0.8 T(ºC) 1060 0.9 1040 1.0 1020 1.1 1000 100 200 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 D0 (μm) • Onset of Dynamic Recrystallization for Reductions > 55%, ε > 0.8 • Softening Mechanisms for Strains Higher than Critical Strain
  • 4.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Usually when: ε > εc Dynamic Metadynamic Recrystallization Recrystallization Recently, Bai et al. (2000): Metadynamic ε > εT With εT = 1.5· εp Recrystallization Transition between different regions
  • 5.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Material and Experimental Procedure C Mn Si S P Nb N 0.1 1.42 0.31 0.008 0.018 0.035 0.0053 T 1400 ºC Strains between εc and ε = 4 ε1 tip ε2 ε = 1 s −1 → t ip = 1 s & 1100ºC ε = 5 s −1 → t ip = 0.3 s & t
  • 6.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Influence of Strain on Softening 1 1 T = 1100ºC Strain rate = 1 s -1 T = 1100ºC Strain rate = 5 s-1 t=1s t = 0.3 s Fractional Softening Fractional Softening 0.8 0.8 εT = 1.3 0.6 0.6 εT = 1.7 0.4 0.4 0.2 0.2 εC = 0.6 εC = 0.75 0 0 0 1 2 3 4 5 0 1 2 3 4 5 Strain Strain • Strain dependent softening for strains higher than εc εT = 2.2·εc • Strain independent behaviour for strains higher than εT
  • 7.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Softening Kinetics 200 T = 1100ºC -1 Strain rate=1 s εc εT 150 Stress (MPa) 100 50 I II III 0 0 1 2 3 4 5 Strain
  • 8.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Softening Kinetics 200 T = 1100ºC •Range I: (ε < εc) -1 Strain rate=1 s εc εT Static Recrystallization 150 Stress (MPa) •Range III: (εT < ε) 100 Metadynamic Recrystallization 50 I II III •Range II: (εc <ε < εT) 0 Static and Metadynamic 0 1 2 3 4 5 Recrystallization Strain
  • 9.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite εT : Critical Value to achieve the minimum dynamic recrystallized fraction for a complete post-dynamic softening by metadynamic recrystallization Coarse Grained Austenite: εc High Industrial Conditions: – εT much higher than applied strain – Deformation and Softening Mechanisms: Ranges I / II
  • 10.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Different Softening Mechanisms Range I (ε < εc): Static Recrystallization – Initial Grain Size t0.5 SRX = f (D0 ,ε ,ε ,[Nb ],T ) & – Strain – Strain Rate – Temperature Range III (εΤ < ε): Metadynamic Recrystallization – Strain Rate t0.5 MDRX = f (ε ,T ) & – Temperature Grain Refinement
  • 11.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Softening Kinetics Region II (εc < ε < εT): Static and Metadynamic Recrystallization ⎡ ⎛ ⎛ t ⎞ ⎞⎤ X MDRX = MDRX Xf ⎢1 − exp⎜ − 0.693⎜ ⎜ ⎟ ⎟⎥ ⎟⎟ ⎜ ⎢ ⎣ ⎝ ⎝ t 0.5MDRX ⎠ ⎠⎥ ⎦ ⎡ ⎛ ⎛ t ⎞ ⎞⎤ X = X MDRX + X SRX X SRX = X f ⎢1 − exp SRX ⎜ − 0.693⎜ ⎟ ⎟⎥ ⎜ ⎜ ⎟⎟ ⎢ ⎣ ⎝ ⎝ t 0.5SRX ⎠ ⎠⎥ ⎦ ε − εc MDRX Xf = X SRX = 1 − X f MDRX εT − εc f
  • 12.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Softening Kinetics 1 1 XSRX 0.8 0.8 Fractional Softening Fractional Softening εT XMDRX XSRX εT XMDRX 0.6 0.6 εc 0.4 0.4 X εc -1 0.2 Strain rate = 1 s 0.2 X t=1s Strain rate = 5 s-1 t = 0.3 s 0 0 0 1 2 3 4 5 0 1 2 3 4 5 Strain Strain
  • 13.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Post-Dynamic Softening with Time 1 Strain = 0.9 Strain rate = 1 s-1 • Applied Strain in Range II Fractional Softening 0.8 0.6 • Sum of Individual Components: Overall 0.4 XMDRX Softening 0.2 XSRX 0 0.01 0.1 1 10 100 Time (s)
  • 14.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Dependence of t0.5 with Applied Strain 100 • Below εc: Strong dependence 10 on strain εc εp εT • ε > εT: Strain independent t0.5 (s) 1 T = 1100ºC • εc< ε < εT: Correct Prediction Strain rate = 1 s-1 D0 = 806 μm 0.1 0.1 1 10 Strain
  • 15.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Microstructural Evolution Thin Slab Casting and Direct Rolling Technology – Heterogeneous Initial Grain Size – Solid Solution Recrystallization delayed Need of a Model taking into account these singularities
  • 16.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Modeling Microstructural Evolution Initial variables: – Processing variables: Strain, strain-rate, temperature… – Initial Grain Size Distribution Static and Metadynamic Softening Interaction with Precipitation Grain Size Evolution Outputs: – Recrystallized and Unrecrystallized Grain Size Distributions at the entry of any rolling pass
  • 17.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Model Validation Torsion Test Schedule Initial Grain Size Distribution T 30 1400 ºC 25 Frequency (%) ε = 0.93 20 strain rate = 5 s-1 T = 1080ºC 15 1100 ºC (20 min) 10 T = 1000ºC 5 0 0 500 1000 1500 2000 2500 3000 Grain Size (μm) t Mean Grain Size: 806 μm
  • 18.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Model Validation Results 0.4 Model Experimental 0.3 Area Fraction 0.2 0.1 0 20 100 180 260 340 420 500 Grain Size (μ m) XSRX = 0.86 XMDRX = 0.12
  • 19.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Comparison between models Classical New Model Approach 0.4 0.4 Model a) Model b) Experimental Experimental 0.3 0.3 Area Fraction Area Fraction 0.2 0.2 0.1 0.1 0 0 20 100 180 260 340 420 500 20 100 180 260 340 420 500 Grain Size (μm) Grain Size (μm)
  • 20.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Conclusions Results show that once the applied strain is higher than the critical value εc, there is a transition regime between εc and εT where both classical static and metadynamic recrystallization softenings intervene. In the analyzed 0.035%Nb microalloyed steel, for the case of coarse initial grain sizes, a value of the transition strain equal to εT = 2.2·εc has been obtained. Taking into account the typical reductions of the first rolling passes, real situations will correspond to fully classical static recrystallization (ε < εc) or to mixed conditions (ε > εc).
  • 21.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite Conclusions (II) The model considers a mean recrystallized microstructure combining both classical static and metadynamic grains through the law of mixtures. The model predictions have been validated with specific tests. The model leads to good predictions when both static and metadynamic softening are included for applied strains ε > εc. Some important divergences are observed if only metadynamic softening is considered.
  • 22.
    Study of MetadynamicRecrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite