This study examines metadynamic recrystallization in coarse-grained Nb microalloyed austenite steel. There is a transition between static and metadynamic recrystallization between the critical strain εc and transition strain εT = 2.2εc. Below εc only static recrystallization occurs. Between εc and εT both static and metadynamic recrystallization contribute to softening. Above εT only metadynamic recrystallization occurs. A new model was developed that considers the contributions of both static and metadynamic recrystallization between εc and εT. The model predictions matched experimental validations
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Storage Temperature -30~+70℃
Deflagration in Magnetism, J. Tejada, A. Hernández-Mínguez, F. Macià, S. Vélez and J.M. Hernández
Grup de Magnetisme, Dept. de Física Fonamental, Universitat de Barcelona
Electrical and Acoustic Characteristics.
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Resonance Frequency 800±20%Hz
Output Sound Pressure Level 92±3dB/0.1M 0.1W at 0.8,1.0,1.2,1.5KHz Average
Frequency Response Fo~20KHz
Operating Temperature -20~+65℃
Storage Temperature -30~+70℃
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Study of Metadynamic Recrystallization Phenomena in Coarse Grained Nb Microalloyed Austenite
1. 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)
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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)
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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)
20. 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).
21. 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.
22. Study of Metadynamic Recrystallization Phenomena
in Coarse Grained Nb Microalloyed Austenite