Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 1/6
Organization (S): EDF-R & D/AMA
Handbook of Utilization
U4.4- booklet: Modeling
Document: U4.43.04
Operator DEFI_TRC
1 Goal
To define a diagram TRC (Transformations in Refroidissement Continu) of reference for
metallurgical calculations.
The diagram trc thus defined is necessary to the characterization of a law of behavior
metallurgical with cooling in operator DEFI_MATERIAU (key word factor META_ACIER).
For the definition of the metallurgical data and the modeling which is made by it, one will refer to
document [R4.04.01].
Product a structure of data of the trc type.
Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 2/6
2 Syntax
name [trc] = DEFI_TRC
(HIST_EXP = _F
(
VALE = lval,
[l_R]
)
TEMP_MS = _F
(
SEUIL
=
zs,
[R]
AKM
=
akm
,
[R]
BKM
=
bkm
,
[R]
TPLM =
Vc, [R]
)
GRAIN_AUST = _F (DREF =
C, [R]
With =
has
,
[R]
)
)
Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 3/6
3 Operands
3.1 Word
key
HIST_EXP
HIST_EXP
=
An occurrence of the key word factor HIST_EXP makes it possible to define the ferrite evolutions, pearlite and
bainite associated with a thermal history with cooling and conditions with austenitization
data.
3.1.1 Operand
VALE
VALE = lval
List values defining the austenitization, the thermal history (
T T) and ferrite evolutions,
pearlite and bainite.
The first value is the value of derived from the function (
T T) (i.e. the speed of
cooling) when T is worth 700°C.
The second value is the size of grain (i.e. their diameter) resulting from the conditions
of austenitization associated with the TRC.
The 6 following values define the thermal history between AR3 and TMF (temperature of
beginning of decomposition of austenite in “quasi-static” cooling and temperature of end of
martensitic transformation respectively). These values are the respective coefficients of
students'rag processions of degree 0 to 5 such as the polynomial of a nature 5 thus built either the interpolation enters
AR3 and TMF within the meaning of least squares of the function (
F)
T deduced from the thermal history and
such as:
(
F)
T = ln (T (T))
If the experimental thermal history to define is a function closely connected of time
(i.e. where the speed of cooling is constant) one will inform these six values like
all equal to zero.
The following values (necessarily by group of 4) define the respective proportions of
ferrite, pearlite and bainite present at a temperature given for the thermal history
experimental defined by the first 8 values.
The ferritic, perlitic and bainitic transformations associated a thermal history are
defined by the whole of the final proportions of each phase (final Z1, final Z2, Z3
final) and corresponding temperatures, for each transformation with:
·
the temperature to which the transformation begins,
·
the temperature to which 1% of new phase are formed,
·
the temperature to which Zfinal 1% of new phase is formed,
·
the temperature to which the transformation is finished (with Zfinal of formed phase).
Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 4/6
The whole of the “points” (Z, Z, Z,)
T
1
2
3
defining an experimental history presents itself
thus as follows:
coefficients of the polynomial
P5 representing F (T)
.
such as F (T) = ln (T (T))
T (T) for T (T) = 700°C
U
Cut grain associated to the TRC
N
D
with
HIST_EXP = _F
(VALE =
(
R
espo
- 8.784D-03, 1.100D-06, 8.563D+00, - 2.760D-02,
1.220D-04, - 2.955D-07, 3.402D-10, - 1.517D-13,
horn
P
0.000D+00, 0.000D+00, 0.000D+00,
8.360D+02,
X
0.000D+00, 0.000D+00, 0.000D+00,
7.897D+02,
_
E
1.000D-02, 0.000D+00, 0.000D+00,
7.860D+02,
ST
7.039D-01, 0.000D+00, 0.000D+00,
6.568D+02,
temperature of
7.270D-01, 1.000D-02, 0.000D+00,
6.525D+02,
beginning of
E
U
R
HI
7.370D-01, 2.728D-02, 0.000D+00,
6.488D+02,
transformation
7.370D-01, 1.840D-01, 0.000D+00,
6.150D+02,
ferritic
E fact
7.370D-01, 1.940D-01, 0.000D+00,
6.107D+02,
7.370D-01, 1.940D-01, 0.000D+00,
5.218D+02,
O
T
Cl
E
7.370D-01, 1.940D-01, 1.000D-02,
4.900D+02,
m
7.370D-01, 1.940D-01, 5.900D-02,
4.120D+02,
E
ntal
7.370D-01, 1.940D-01, 6.900D-02,
3.802D+02
R
I
m
),)
EP
U
R
R
E
NCE of
beginning of transformation
temperature corresponding
O
I
R
E
ex
perlitic and proportion
to formed bainite 1% and
N
E
occ
St
of ferrite formed with this
proportion of ferrite
U
hi
temperature
and pearlite formed with this
temperature
3.2 Word
key
TEMP_MS
TEMP_MS
This key word factor makes it possible to define the law of evolution of temperature ms according to
quantities of ferrite, pearlite and bainite already formed according to the law:
Ms = Ms0
if
Z + Z + Z
1
2
3 SEUIL
Ms = Ms0 + AKM (Z + Z + Z
1
2
3) + BKM
if
Z + Z + Z
1
2
3 > SEUIL
where Ms0 is the “traditional” temperature of martensitic beginning of transformation when this one
(it is total is defined under the key word factor META_ACIER of DEFI_MATERIAU.
Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 5/6
3.2.1 Operand
SEUIL
SEUIL
= zs,
Z
is the quantity of austenite transformed into on this side which ms is
S
invariant.
3.2.2 Operand
AKM
AKM
= akm,
akm is the factor of proportionality between the reduction in temperature ms
and quantity of transformed austenite (Z + Z + Z
1
2
3).
3.2.3 Operand
BKM
BKM
= bkm,
bkm is the ordinate at the origin of the equation closely connected connecting the reduction in ms to
quantity of transformed austenite.
3.2.4 Operand
TPLM
TPLM
=
Vc,
Vc is the speed of cooling with 700°C of the experimental history more
slow, which makes it possible to form a little martensite.
These four key words define the values of sizes SEUIL, AKM, BKM intervening in
law of evolution of ms that one supposes independent of the size of grain.
3.3 Word
key
GRAIN_AUST
Allows to define the influence of the size of grain on the metallurgical transformations in
cooling defined by the diagram trc.
3.3.1 Operand
DREF
DREF =
C,
C is the size of grain (i.e. its diameter) associated the diagram defined under the key word
factor HIST_EXP.
3.3.2 Operand
With
With =
has
,
A is a parameter material which makes it possible to characterize the effect of the size of grain on
diagram TRC of a steel (cf [R4.04.01]).
Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
Code_Aster ®
Version
7.4
Titrate:
Operator DEFI_TRC
Date:
19/01/05
Author (S):
V. CANO Key
:
U4.43.04-G Page
: 6/6
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Handbook of Utilization
Booklet U4.4- Modeling
HT-66/05/004/A
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