Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
1/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
Organization (S):
EDF-R & D/AMA
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
V7.14.304 document
HSLV304 - Roll under thermal loading
Summary:
The goal of the test is to validate a decomposable thermal loading in 2 harmonics, applied to one
axisymmetric structure (cylinder in fact).
The harmonies considered are harmonies 1 and 2.
The comparison is carried out compared to a model hull, with a software finite elements.
In modeling B, one imposes a field of initial deformations
O
defined by AFFE_CHAR_MECA,
corresponding to the field of deformations resulting from model A. the goal is to compare the results compared to
those obtained for model A.
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
2/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
1
Problem of reference
1.1 Geometry
Length
:
L
= 4 m
Position of the points E, F, G
Thickness:
H
=
0.1
m
·
E, F, G
remote Ro of the axis
Average radius:
Ro = 1 m
·
G
with middle height
1.2
Material properties
E = 2.1 X 10
11
AP
= 0.3
= 0.12 X 10
4
/°C
1.3
Boundary conditions and loadings
·
Sections AB and CD embedded
·
Field of temperature T = cos
+ sin 2
1.4 Conditions
initial
Without object for the static analysis.
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
3/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
2
Reference solution
2.1
Method of calculation used for the reference solution
Comparison of the results compared to the software finite elements CA.ST.OR-SD of CETIM.
The element of CA.ST.OR used is an isoparametric element of hull with 8 nodes, based on
formulation of Ahmad. It is about a degenerated three-dimensional element, of which the applicability
is that of the thick hulls.
2.2
Results of reference
·
Displacement and stresses at the points E, F, G for each harmonic.
·
Displacement and stresses at the points E, F, G for the total loading.
2.3
Uncertainty on the solution
Comparison of software.
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
4/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
3 Modeling
With
3.1
Characteristics of modeling
Modeling AXIS_FOURIER, meshs QUAD8
Loading
Uniform field of temperatures T
0
= 1.
Cutting:
80 elements according to the length
2 elements according to the radius
Name of the nodes:
WITH = NR 1
B = N2
C = NR 3
D = NR 4
E = NR 9
F = NR 171
G = NR 371
3.2
Characteristics of the mesh
A number of nodes: 645
A number of meshs and types: 160 QUAD8
D
F
C
G
Z
R
WITH E B
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
5/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
3.3 Functionalities
tested
“MECHANICAL” AFFE_MODELE “AXIS_FOURIER”
ALL
AFFE_CHAR_MECA DDL_IMPO
CREA_CHAM AFFE
“NOEUD_TEMP_R”
TEMP
AFFE_CHAR_MECA TEMP_CALCULEE
CALC_CHAM_ELEM OPTION
MODE_FOURIER
“SIGM_ELNO_DEPL”
COMB_CHAM_NO
COMB_CHAM_ELEM
COMB_FOURIER
COMB_FOURIER
MACRO_ELAS_MULT CHAR_MECA_GLOBAL
CAS_CHARGE
MODE_FOURIER
TYPE_MODE
CHAR_MECA
“SYME”
“ANTI”
4
Results of modeling A
4.1 Values
tested
Localisatio
N
Type of value
Reference
(Beaver)
Aster %
différenc
E
Charge in cos
Not G
U
R
(m)
U
(m)
0.96 X 10
5
0.15 X 10
5
0.963057 10
5
0.152412 10
5
1.22 10
5
2.13 10
5
Charge in sin 2
Not G
U
R
(m)
0.544426 X 10
5
0.54442614
10
5
2.58 10
5
Total load
Not G
U
R
(m)
U
(m)
1.50748 10
5
1.52412 10
5
1.5074832 10
5
1.5241197 10
5
2.16 10
4
2.13 10
5
4.2 Notice
Model EFF of reference: 640 elements of hull with 8 nodes (10 elements according to the length
64 elements according to the circumference.
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
6/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
5 Modeling
B
5.1
Characteristics of modeling
Modeling AXIS_FOURIER, meshs QUAD8
Loading
Field of initial deformations
O
constant =
T
0
, T
0
= 1.
(
rr
=
zz
=
= 0.12 X 10
4
)
Cutting:
80 elements according to the length
2 elements according to the radius
Name of the nodes:
WITH = NR 1
B = N2
C = NR 3
D = NR 4
E = NR 9
F = NR 171
G = NR 371
5.2
Characteristics of the mesh
A number of nodes: 645
A number of meshs and types: 160 QUAD8
D
F
C
G
Z
R
WITH E B
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
7/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
5.3 Functionalities
tested
“MECHANICAL” AFFE_MODELE “AXIS_FOURIER”
ALL
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO
AFFE_CHAM_NO AFFE
GROUP_NO
NOM_CMP
AFFE_CHAR_MECA TEMP_CALCULEE
CALC_CHAM_ELEM OPTION
MODE_FOURIER
“SIGM_ELNO_DEPL”
COMB_CHAM_NO
COMB_CHAM_ELEM
COMB_FOURIER
COMB_FOURIER
MACRO_ELAS_MULT CHAR_MECA_GLOBAL
CAS_CHARGE
MODE_FOURIER
TYPE_MODE
CHAR_MECA
6
Results of modeling B
6.1 Values
tested
Localisatio
N
Type of value
Reference
(Beaver)
Aster %
différenc
E
Charge in cos
Not G
U
R
(m)
U
(m)
0.96 X 10
5
0.15 X 10
5
0.963057 10
5
0.152412 10
5
1.22 10
5
2.13 10
5
Charge in sin 2
Not G
U
R
(m)
0.544426 X 10
5
0.54442614
10
5
2.58 10
5
Total load
Not G
U
R
(m)
U
(m)
1.50748 10
5
1.52412 10
5
1.5074832 10
5
1.5241197 10
5
2.16 10
4
2.13 10
5
Code_Aster
®
Version
7.1
Titrate:
HSLV304 - Roll under thermal loading
Date:
06/11/03
Author (S):
X. DESROCHES
Key
:
V7.14.304-A
Page:
8/8
Manual of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A
7
Summary of the results
Results obtained for the modeling B in which one imposes like initial deformations
the deformations resulting from modeling A, are identical to those of modeling A.