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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
Date:
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Organization (S): EDF-R & D/AMA, DeltaCAD
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
Document: V4.04.105

TPLV105 - Stationary nonlinear Thermique in
locate 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
operator THER_NON_LINE_MO allowing to calculate the nonlinear stationary response with one
mobile loading.

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
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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.

Torch TIG
Feel displacement
torch


Thickness
Width of
Length of
test-tube
the test-tube
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:
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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TPLV105 - Stationary nonlinear Thermique in pointer
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T

C

Temperature (°C)
Thermal conductivity
(J/(
3
mm C
°))
Enthalpy
(W/(mm C
°))
(
3
J/mm)
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
0.06
)
²
/
°
C
0.05
m
/
m
W
0.04
I
that (
m
0.03
0.02
T
I
v
I
T
E
T
her
0.01
onduc
C
0
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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TPLV105 - Stationary nonlinear Thermique in pointer
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density X specific heat
0.0050
0.0048
)
0.0046
C
/.°
m
0.0044
J
/m
p
(
0.0042
R
H
O
C
0.0040
0.0038
0.0036
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)


Enthalpy
9
8
7
²
)
m
6
J
/
m
5
E (
pi
4
T
hall
N
3
E
2
1
0
0
200
400
600
800
1000
1200
1400
1600
Temperature (°C)

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
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1.3
Boundary conditions

The parameters of welding are presented in the table below:

V
I
U
(Scrolling speed
Diameter of electrode
(Intensity)
(Voltage)
part)
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.

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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TPLV105 - Stationary nonlinear Thermique in pointer
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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 test Varestraint”, Note HI74/97/09

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
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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 zone of the grid
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), Text= 20°C.
· Lower surface: LINF
- Nonlinear Flow imposed QINOX (see table and figure below)
- Convectif Exchange: H = 15x10-6 W/(mm ².°C), Text= 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
QINOX
Temperature
QINOX
(°C)
Nonlinear flow
(°C)
Nonlinear flow
(W/mm ²)
(W/mm ²)
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
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
Date:
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Non-linear flow (QINOX)
0
200
400
600
800
1000 1200 1400 1600
0
- 0.1
²
) - 0.2
m
/m
W - 0.3
X
(
L
U
F - 0.4
- 0.5
- 0.6
Temperature (°C)


3.2
Characteristics of the grid

A number of meshs: 144 (QUAD8)
A number of nodes: 565

3.3 Functionalities
tested

Commands



DEFI_MATERIAU
THER_NL LAMBDA
BETA

AFFE_MODELE AFFE
“THERMAL” PHENOMENON
MODELISATION
“PLAN”
AFFE_CHAR_THER_F
TEMP_IMPO GROUP_NO
TEMP

FLUX_NL
GROUP_MA

FLUN

ECHANGE
GROUP_MA

COEF_H

TEMP_EXT

FLUX_REP
GROUP_MA

FLUN

CONVECTION
VITESSE

THER_NON_LINE_MO CONVERGENCE
CRIT_TEMP_RELA

CRIT_ENTH_RELA

ITER_GLOB_MAXI

TEMP_INIT

MODELE

CHAM_MATER

EXCIT
CHARGE

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

Code_Aster ®
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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
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3.4
Sizes tested and results

Identification
Size Reference
Aster
% Difference

(°C)
(°C)
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
Nodes located on the left of
Nodes located on the left of
under the torch (Zone 1)
torch (Zone 2)
torch and in lower part of
plate (Zone 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



Y
y
Center torch
Zone 1
Zone 2
X
X
Zone 3


Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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Titrate:
TPLV105 - Stationary nonlinear Thermique in pointer
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V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/04/005/A

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