In this study a new constitutive equation, using the extrapolation of dynamic recovery (DRV) flow stress curve and kinetic equation for dynamic recrystallization (DRX), has been developed. This model is expressed in terms of characteristic points such as critical stress, critical strain, DRX steady state stress, and DRV saturation stress. Moreover, this analysis was done for the stress-strain curves under hot working condition for Ti-IF steel, but it is not dependent on the type of material and can be extended for any condition that a single peak dynamic recrystallization occurs. The results indicate that the stress-strain curves predicted by this model are in a good agreement with experimentally measured ones at all deformation conditions.

References

References
1.
McQueen
,
H. J.
, and
Rayan
,
N. D.
,
2002
, “
Constitutive Analysis in Hot Working
,”
Mater. Sci. Eng., A
,
322
, pp.
43
63
.10.1016/S0921-5093(01)01117-0
2.
Ueki
,
M.
,
Horie
,
S.
, and
Nakamura
,
T.
,
1987
, “
Factors Affecting Dynamic Recrystallization of Metals and Alloys
,”
Mater. Sci. Tech.
,
3
, pp.
329
337
.10.1179/026708387790122585
3.
He
,
X.
,
Yu
,
Zh.
, and
Lai
,
X.
,
2008
, “
A Method to Predict Flow Stress Considering Dynamic Recrystallization During Hot Deformation
,”
Comput. Mater. Sci.
,
44
, pp.
760
764
.10.1016/j.commatsci.2008.05.021
4.
Zeng
,
Zh.
,
Jonsson
,
S.
,
Roven
,
H. J.
, and
Zhang
,
Y.
,
2009
, “
Modelling of Flow Curves for Single Peak Dynamic Recrystallization
,”
Mater. Des.
,
30
, pp.
1939
1943
.10.1016/j.matdes.2008.09.004
5.
Kugler
,
G.
, and
Turk
,
R.
,
2004
, “
Modeling the Dynamic Recrystallization Under Multi Stage Hot Deformation
,”
Acta Mater.
,
52
, pp.
4659
4668
.10.1016/j.actamat.2004.06.022
6.
Liu
,
J.
,
Cui
,
Zh.
, and
Li
,
C.
,
2008
, “
Modelling of Flow Stress Characterizing Dynamic Recrystallization for Magnesium Alloy AZ31B
,”
Comput. Mater. Sci.
,
41
, pp.
375
382
.10.1016/j.commatsci.2007.04.024
7.
Kim
,
S. I.
,
Lee
,
Y.
, and
Byon
,
S. M.
,
2003
, “
Study on Constitutive Relation in AISI 4140 Steel Subject to Large Strain at Elevated Temperature
,”
J. Mater. Process. Tech.
,
140
, pp.
84
89
.10.1016/S0924-0136(03)00742-8
8.
Ebrahimi
,
R.
,
Zahiri
,
S. H.
,
Najafizadeh
,
A.
,
2006
, “
Mathematical Modeling of the Stress-Strain Curves of Ti-IF Steel at High Temperature
,”
J. Mater. Process. Tech.
,
171
, pp.
301
306
.10.1016/j.jmatprotec.2005.06.072
9.
Zahiri
,
S. H.
,
Davis
,
C. H. J.
, and
Hodgson
,
P. D.
,
2005
, “
A Mechanical Approach to Quantify Dynamic Recrystallization in Polycrystalline Metals
,”
Scr. Mater.
,
52
, pp.
299
304
.10.1016/j.scriptamat.2004.10.011
10.
Poliak
,
E. I.
, and
Jonas
,
J. J.
,
2003
, “
Initiation of Dynamic Recrystallization in Constant Strain Rate Hot Deformation
,”
ISIJ Int.
,
43
, pp.
684
691
.10.2355/isijinternational.43.684
11.
Ebrahimi
,
R.
, and
Solhjoo
,
S.
,
2007
, “
Characteristic Points of Stress-Strain Curves at High Temperature
,”
Int. J. Iron Steel Soc. Iran
,
4
, pp.
24
27
.
12.
Laasraouli
,
A.
, and
Jonas
,
J. J.
,
1991
, “
Prediction of Steel Flow Stresses at High Temperatures and Strain Rates
,”
Metall. Trans. A
,
22
, pp.
1545
1557
.10.1007/BF02667368
13.
Imbert
,
C. A. C.
, and
McQueen
,
H. J.
,
2001
, “
Peak Strength, Strain Hardening and Dynamic Restoration of A2 and M2 Tool Steels in Hot Deformation
,”
Mater. Sci. Eng., A
,
313
, pp.
88
103
.10.1016/S0921-5093(01)00976-5
14.
Ebrahimi
,
R.
,
2003
, “
Hot and Warm Deformation of IF Steel
,” Ph.D thesis, Isfahan University of Technology, Isfahan, Iran.
15.
Jonas
,
J. J.
,
Quelennec
,
X.
,
Jiang
,
L.
, and
Martin
,
E.
,
2009
, “
The Avrami Kinetics of Dynamic Recrystallization
,”
Acta Mater.
,
57
, pp.
2748
2756
.10.1016/j.actamat.2009.02.033
You do not currently have access to this content.