Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
1/8

Organization (S): EDF-R & D/AMA

Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
V7.14.304 document

HSLV304 - Cylindre 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.
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
2/8

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 1011 Pa
= 0.3
= 0.12 X 10­4/°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.

Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
3/8

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 constraints at the points E, F, G for each harmonic.
·
Displacement and constraints at the points E, F, G for the total loading.

2.3
Uncertainty on the solution

Comparison of software.
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
4/8

3 Modeling
With

3.1
Characteristics of modeling

Modeling AXIS_FOURIER, meshs QUAD8

F
D
C
G
Z
R
WITH E B


Loading
Uniform field of temperatures T0 = 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 grid

A number of nodes: 645
A number of meshs and types: 160 QUAD8
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
5/8

3.3 Functionalities
tested

“MECHANICAL” AFFE_MODELE “AXIS_FOURIER”
TOUT
AFFE_CHAR_MECA DDL_IMPO


CREA_CHAM AFFE
“NOEUD_TEMP_R”

TEMP
AFFE_CHAR_MECA TEMP_CALCULEE

CALC_CHAM_ELEM OPTION
“SIGM_ELNO_DEPL”
MODE_FOURIER
COMB_CHAM_NO
COMB_FOURIER


COMB_CHAM_ELEM
COMB_FOURIER
MACRO_ELAS_MULT CHAR_MECA_GLOBAL

CAS_CHARGE
MODE_FOURIER

TYPE_MODE
“SYME”
CHAR_MECA
“ANTI”

4
Results of modeling A

4.1 Values
tested

Localisatio
Type of value
Reference
Aster %
N
(Beaver)
différenc
E
Charge in cos
Not G
ur (m)
0.96 X 10­5
0.963057 10­5
1.22 10­5
U (m)
0.15 X 10­5
0.152412 10­5
2.13 10­5
Charge in sin 2
Not G
ur (m)
0.544426 X 10­5 0.54442614
10­5
2.58 10­5
Total load
Not G
ur (m)
1.50748 10­5
1.5074832 10­5
2.16 10­4
U (m)
1.52412 10­5
1.5241197 10­5
2.13 10­5

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.

Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
6/8

5 Modeling
B

5.1
Characteristics of modeling

Modeling AXIS_FOURIER, meshs QUAD8

F
D
C
G
Z
R
WITH E B


Loading
Field of initial deformations O constant = T0, T0 = 1.
(rr = zz = = 0.12 X 10­4)

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 grid

A number of nodes: 645
A number of meshs and types: 160 QUAD8
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
7/8

5.3 Functionalities
tested

“MECHANICAL” AFFE_MODELE “AXIS_FOURIER”
TOUT
AFFE_CHAR_MECA DDL_IMPO
GROUP_NO

AFFE_CHAM_NO AFFE
GROUP_NO

NOM_CMP
AFFE_CHAR_MECA TEMP_CALCULEE

CALC_CHAM_ELEM OPTION
“SIGM_ELNO_DEPL”
MODE_FOURIER
COMB_CHAM_NO
COMB_FOURIER


COMB_CHAM_ELEM
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
Type of value
Reference
Aster %
N
(Beaver)
différenc
E
Charge in cos
Not G
ur (m)
0.96 X 10­5
0.963057 10­5
1.22 10­5
U (m)
0.15 X 10­5
0.152412 10­5
2.13 10­5
Charge in sin 2
Not G
ur (m)
0.544426 X 10­5 0.54442614
10­5
2.58 10­5
Total load
Not G
ur (m)
1.50748 10­5
1.5074832 10­5
2.16 10­4
U (m)
1.52412 10­5
1.5241197 10­5
2.13 10­5

Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Code_Aster ®
Version
7.1
Titrate:
HSLV304 - Cylindre under thermal loading


Date:
06/11/03
Author (S):
X. DESROCHES Key
:
V7.14.304-A Page:
8/8

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.
Handbook of Validation
V7.14 booklet: Thermomechanical linear statics of the voluminal systems
HT-66/03/008/A

Outline document