Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
1/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
Organization (S):
EDF-R & D/AMA, DeltaCAD
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
Document: V4.04.105
TPLV105 - Stationary nonlinear thermics in
identify mobile: simulation of the Varestrain test
Summary:
This test presents thermal simulation by finite elements of the Varestraint test. This test of weldability is
employee to characterize resistance to the hot cracking of materials.
This test makes it possible to test a nonlinear thermal problem formulated in a pointer under condition of
stationnarity.
In this test only one modeling is carried out, it acts of a thermal modeling PLAN associated with
the operator
THER_NON_LINE_MO
allowing to calculate the nonlinear stationary response with one
mobile loading.
Code_Aster
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Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
2/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
1
Problem of reference
1.1 Geometry
The studied geometry is a 200 mm length parallelepipedic plate, of 60 mm width
and 7 mm thickness.
Feel displacement
torch
Torch TIG
Thickness
test-tube
Width of
the test-tube
Length of
the test-tube
7 mm
60 mm
200 mm
1.2
Properties of material
The material considered is a forged austenitic stainless steel of 316L type (Z2CND17-12).
For nonlinear thermal modeling thermal conductivity and the product
density
heat-storage capacity
C
vary according to the temperature. Their values are given in
table below:
Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
3/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
T
Temperature (°C)
Thermal conductivity
(
)
(
/
C
mm
W
°
)
C
(
)
(
/
3
C
mm
J
°
)
Enthalpy
(
3
/mm
J
)
20
14.0 E-3
36.00 E-4
0.0
50 14.4
E-3
100
15.2 E-3
39.05 E-4
150 15.8
E-3
200
16.6 E-3
41.63 E-4
250 17.3
E-3
300
17.9 E-3
43.00 E-4
350 18.6
E-3
400
19.2 E-3
43.90 E-4
450 19.9
E-3
500
20.6 E-3
44.50 E-4
550 21.2
E-3
600
21.8 E-3
44.95 E-4
650 22.4
E-3
700
23.1 E-3
45.80 E-4
2.979
750 23.7
E-3
800
24.3 E-3
47.80 E-4
900
26.0 E-3
49.00 E-4
1000
27.3 E-3
49.90 E-4
1200
29.9 E-3
50.40 E-4
1370
32.2 E-3
50.40 E-4
6.232
1400
48.9 E-3
50.40 E-4
8.184
1450 8.444
Thermal conductivity
0
0.01
0.02
0.03
0.04
0.05
0.06
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)
C
onduc
T
I
v
I
T
E
T
her
m
I
that (
W
/
m
m
²
/
°
C
)
Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
4/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
density X specific heat
0.0036
0.0038
0.0040
0.0042
0.0044
0.0046
0.0048
0.0050
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)
R
H
O
C
p
(
J
/m
m
/.°
C
)
Enthalpy
0
1
2
3
4
5
6
7
8
9
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)
E
N
T
hall
pi
E (
J
/
m
m
²
)
Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
5/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
1.3
Boundary conditions
The parameters of welding are presented in the table below:
I
(Intensity)
U
(Voltage)
V
(Scrolling speed
part)
Diameter of electrode
200A
13V
14 cm/min
3 mm
The upper surface of the plate is subjected to the action of a torch. This torch is placed at
center plate, to 15 mm of the edge, and parallel to moves its length at constant speed
(14cm/min) until 85.5mm of the edge corresponding to the position of extinction of the torch.
1.4 Conditions
initial
None.
Code_Aster
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Version
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Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
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Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
2
Reference solution
2.1
Method of calculation
Method of calculation of the density flux constant to impose, boundary conditions imposed,
as well as the test results are presented in [bib1].
2.2
Sizes and results of reference
Temperatures on the higher and lower face of the plate close to the torch
2.3 References
bibliographical
[1]
D. BUI: “Thermal Simulations by finite elements of the Varestraint test”, Note HI74/97/09
Code_Aster
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Version
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Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
7/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
3 Modeling
With
3.1
Characteristics of modeling
Y Modeling “PLAN” (QUAD8):
WITH LSUP B
I LSUP J X
DC1
DC2
LINF
82. mm
90. mm
Central area of the mesh
Torch
B LZA I
The center of the torch is placed has x=86. mm of the left edge.
Boundary conditions:
·
Side DC1: adiabatic condition (flux=0)
·
Side DC2: imposed temperature 20°C
·
Surface upper LSUP: this part is made up on the sides AB and IJ
-
Nonlinear flow imposed QINOX (see table and figure below)
-
Convectif exchange: H = 15x10
- 6
W/(mm ².°C), T
ext.
= 20°C.
·
Lower surface: LINF
-
Nonlinear flow imposed QINOX (see table and figure below)
-
Convectif exchange: H = 15x10
- 6
W/(mm ².°C), T
ext.
= 20°C.
·
Scrolling speed of the V=-2.33m/s part
Loading: Density flux brought by the torch
·
Density flux imposed Q=19.62 W/mm ² on the with dimensions LZA (B I)
Temperature
(°C)
QINOX
Nonlinear flow
(
²
/mm
W
)
Temperature
(°C)
QINOX
Nonlinear flow
(
²
/mm
W
)
20 0.00E+00
800 - 7.96E-02
100 - 1.76E-03
900 - 1.08E-01
200 - 5.04E-03
1000 - 1.46E-01
300 - 9.80E-03
1100 - 1.92E-01
400 - 1.63E-02
1200 - 2.48E-01
500 - 2.59E-02
1300 - 3.17E-01
600 - 3.89E-02
1400 - 3.99E-01
700 - 5.64E-02
1500 - 4.97E-01
Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
8/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
Non-linear flow (QINOX)
- 0.6
- 0.5
- 0.4
- 0.3
- 0.2
- 0.1
0
0
200
400
600
800
1000 1200 1400 1600
Temperature (°C)
F
L
U
X
(
W
/m
m
²
)
3.2
Characteristics of the mesh
A number of meshs: 144 (QUAD8)
A number of nodes: 565
3.3 Functionalities
tested
Controls
DEFI_MATERIAU
THER_NL LAMBDA
BETA
AFFE_MODELE AFFE
“THERMAL” PHENOMENON
MODELING
“PLANE”
AFFE_CHAR_THER_F
TEMP_IMPO GROUP_NO
TEMP
FLUX_NL
GROUP_MA
FLUN
EXCHANGE
GROUP_MA
COEF_H
TEMP_EXT
FLUX_REP
GROUP_MA
FLUN
CONVECTION
SPEED
THER_NON_LINE_MO CONVERGENCE
CRIT_TEMP_RELA
CRIT_ENTH_RELA
ITER_GLOB_MAXI
TEMP_INIT
MODEL
CHAM_MATER
EXCIT
CHARGE
Code_Aster
®
Version
6.4
Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
9/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
3.4
Sizes tested and results
Identification
Size Reference
(°C)
Aster
(°C)
% Difference
N1 (X=82, Y=0)
TEMP
1755.0
1756.11
0.063
N2 (X=83, Y=0)
TEMP
1920.0
1919.29
0.037
N3 (X=84, Y=0)
TEMP
1910.0
1908.63
0.072
N7 (X=88, Y=0)
TEMP
1494.0
1493.46
0.036
N8 (X=89, Y=0)
TEMP
1300.0
1297.51
0.191
N173 (X=46.93, Y=0)
TEMP
1160.0
1155.76
0.365
N174 (X=57.36, Y=0)
TEMP
1215.0
1213.32
0.139
N175 (X=67.79, Y=0)
TEMP
1295.0
1291.86
0.243
N478 (X=10.43, Y=-7)
TEMP
1007.0
1001.09
0.587
N522 (X=52.14, Y=-7) TEMP
989.0
982.39
0.668
N559 (X=0, Y=-7)
TEMP
980.0
973.92
0.621
3.5 Remarks
In the table below we present the position of the nodes in the reference mark (xy) of the torch.
Nodes located
under the torch (Area 1)
Nodes located on the left of
torch (Area 2)
Nodes located on the left of
torch and in lower part of
plate (Area 3)
N1: x=-4 mm, y=0
N173: X = - 39.0 mm, y=0
N478: X = - 86.0 mm
N2: x=-3 mm, y=0
N174: X = - 28.6 mm, y=0
N522: X = - 81.0 mm
N3: x=-2 mm, y=0
N175: X = - 18.2 mm, y=0
N559: X = - 18.2 mm
N7: x= 2 mm, y=0
N8: x= 3 mm, y=0
X
Y
X
y
Center torch
Area 2
Area 1
Area 3
Code_Aster
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Version
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Titrate:
TPLV105 - Stationary nonlinear thermics in pointer
Date:
11/05/04
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
V4.04.105-A
Page:
10/10
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A
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