Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
1/10
Organization (S): EDF-R & D/MMC, CS
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
Document: V7.14.100
EPICU01 - Validation of the command
POST_K_BETA
Summary:
This test validates the operation of the command POST_K_BETA which calculates the factors of intensity of
constraints with the two points of defects, using the constraints with the nodes resulting from the mechanical resolution.
This test breaks up into two type of modeling:
· Axisymmetric EPICU01a: modeling,
· EPICU01b: modeling 3D.
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
2/10
1
Problem of reference
1.1 Geometry
The studied geometry is that of a section of tank bimetal, limited to 45° in azimuth.
Base metal
Coating
erz
200 mm
200 mm
er
45°
Center
er
R
7.5 mm
the tank
1994 mm
1.1.1 Defect
considered
In the method K, the defect is not modelled in the grid. The grid makes it possible to calculate
constraints with the nodes. A postprocessing is then applied to calculate the factor of intensity
constraints by the method starting from the constraints with the nodes (the method is detailed in
[R7.02.10]).
For this test, the defect considered is elliptic and of longitudinal orientation. Its dimensions are them
following (see figure which follows):
· depth:prof_def = 6mm
· width: 2b = 60mm
· shift in the coating: decaf = 0,2mm
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
3/10
Initial defect
Defect considered
in calculation
2b
2a
- decaf
prof_def
Coating
Base metal
ray_int
ep_rev
ep_mdb
Center tank
1.2
Material properties
For calculation in thermics:
Two properties are indicated, it acts of:
· LAMBDA: thermal conductivity isotropic function of the temperature, expressed in W.m
1.K-1,
· BETA: voluminal enthalpy according to the temperature, expressed in J.m3.
For the coating:
Temperature (°C)
Lambda
0 14.7
20 14.7
50 15.2
100 15.8
150 16.7
200 17.2
250 18
300 18.6
350 19.3
Temperature (°C)
BETA
0 0.000000.E+00
50 1.102100.E+08
100 3.013300.E+08
150 5.014300.E+08
200 7.081300.E+08
250 9.188800.E+08
300 1.132910.E+09
350 1.348980.E+09
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
4/10
For the base metal:
Temperature (°C)
Lambda
0 37.7
20 37.7
50 38.6
100 39.9
150 40.5
200 40.5
250 40.2
300 39.5
350 38.7
Temperature (°C)
BETA
0 0.000000.E+00
50 1.061900.E+08
100 2.903300.E+08
150 4.829100.E+08
200 6.832800.E+08
250 8.921600.E+08
300 1.109440.E+09
350 1.335060.E+09
For calculation in mechanics:
Four parameters are indicated, it acts of:
· E:
modulus Young, expressed out of Pa,
· naked = 0.3
Poisson's ratio,
· ALPHA:
isotropic thermal dilation coefficient, expressed in °C,
· TEMP_DEF_ALPHA = 20: value of the temperature to which values of the coefficient of
thermal dilation ALPHA were determined, expressed in
°C.
For the coating:
Temperature (°C)
E
0 1.985E+11
20 1.97E+11
50 1.95E+11
100 1.915E+11
150 1.875E+11
200 1.84E+11
250.1.8E+11
300 1.765E+11
350 1.72E+11
Modeling has
Modeling B
Temperature (°C)
ALPHA
Temperature (°C)
ALPHA
0 1.756E-05
20 1.764E-05
20 1.64E-05
50 1.7787E-05
50 1.654E-05
100 1.8019E-05
100 1.68E-05
150 1.8225E-05
150 1.704E-05
200 1.8575E-05
200 1.72E-05
250 1.8568E-05
250 1.75E-05
300 1.8768E-05
300 1.777E-05
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
5/10
For the base metal:
Temperature (°C)
E
0 2.05E+11
20 2.04E+11
50 2.03E+11
100 2e+11
150 1.97E+11
200 1.93E+11
250 1.89E+11
300 1.85E+11
350.1.8E+11
Modeling has
Modeling B
Temperature (°C)
ALPHA
Temperature (°C)
ALPHA
0 1.2878E-05
20 1.3002E-05
20 1.122E-05
50 1.3198E-05
50 1.145E-05
100 1.3521E-05
100 1.179E-05
150 1.382E-05
150 1.214E-05
200 1.4102E-05
200 1.247E-05
250 1.4382E-05
250 1.278E-05
300 1.4682E-05
300 1.308E-05
1.3
Boundary conditions and loadings
The boundary conditions imposed are those of an axisymmetric system.
Two types of loadings are applied:
· heat exchange in internal skin,
· fluid pressure in internal skin.
2
Reference solution
2.1
Results of reference
The results of reference are those resulting from a similar calculation carried out starting from code CUVE1D.
2.2
Uncertainty on the solution
2%
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
6/10
3 Modeling
With
3.1
Characteristics of modeling
2D, axisymetic (SEG3, QUAD8)
5 mm
3.2
Characteristics of the grid
A number of nodes: 63
A number of elements: 12
3.3 Functionalities
tested
Commands
MECA_STATIQUE
INTE_MAIL_2D DEFI_SEGMENT
POST_K_BETA FISSURES
PROFONDEUR
LARGEUR
ORIENTATION
K1D
TABL_MECA_REV
TABL_MECA_MDB
TABL_THER
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
7/10
4
Results of modeling A
4.1 Values
tested
Below, the comparison of the Aster results compared to the results of reference resulting from the code
of calculation CUVE1D:
Type of value
Moment
Reference Aster
% difference
K1_REV
0
1.5298E+07
1.5198E+07
0
KCP_REV 0
1.8239E+07
1.8239E+0.7 0
TEMPPF_REV
0
287
287
0
K1_MDB
0
1.53234E+07
1.5234E+07
0
KCP_MDB 0
2.03147E+07
2.03147E+07 0
TEMPFF_MDB
0
287
287
0
K1_REV
3871
9.4963E+06
9.4963E+06
0
KCP_REV 3871
2.70057E+07
2.70057E+07 0
TEMPPF_REV
3871
84.93
84.93
0
K1_MDB
3871
4.3231E+06
4.3231E+06
0
KCP_MDB 3871
2.9587E+06
2.9587E+06 0
TEMPFF_MDB
3871
86.09
86.09
0
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
8/10
5 Modeling
B
5.1
Characteristics of modeling
3D (SEG3, QUAD8, HEXA20)
5.2
Characteristics of the grid
A number of nodes: 480
A number of elements: 2559
5.3 Functionalities
tested
Commands
MECA_STATIQUE
INTE_MAIL_3D DEFI_SEGMENT
POST_K_BETA FISSURES
PROFONDEUR
LARGEUR
ORIENTATION
K1D
TABL_MECA_REV
TABL_MECA_MDB
TABL_THER
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
9/10
6
Results of modeling B
6.1 Values
tested
Below, the comparison of the Aster results compared to the results of reference resulting from the code
of calculation CUVE1D:
Type of value
Moment
Reference Aster
% difference
K1_REV
3871
9.419E+06
9.517E+06
1.04
KCP_REV 3871
25.563E+06
25.503E+06 0.23
TEMPPF_REV
3871
84.84
84.92
0.10
K1_MDB
3871
3.578E+06
3.604E+06
0.74
KCP_MDB 3871
26.363E+06
26.197E+06 0.63
TEMPFF_MDB
3871
86.02
86.08
0.07
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Code_Aster ®
Version
6.3
Titrate:
EPICU01 - Validation of command POST_K_BETA
Date:
07/01/04
Author (S):
A. Key DAHL, A. BOYER
:
V7.14.100-A Page:
10/10
7
Summary of the results
This case test validates command POST_K_BETA for the two types of modeling.
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-26/03/023/A
Outline document