Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
1/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
Organization (S):
EDF/IMA/MN, CISI
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.123
SSNV123 - Solid mass resting on a mattress
rubber band
Summary
This test makes it possible to validate modeling
“APPUI_REP”
[U4.22.04] for elements of faces of elements
three-dimensional. It corresponds to a static analysis of a cube subjected to its own weight, and which rests on
an elastic mattress.
Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
2/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
1
Problem of reference
1.1 Geometry
H
D
C
G
B
E
y
X
E
H
G
F
C
With
Z
X
has
C
D
B
case 1
case 2
= 1. m has
B = 1.5 m
C = 0.5 m
F
With
Z
B
1.2
Material properties
E = 2.1 10
11
AP
= 0.3
= 7800 kg/m
3
E_N
= 7 10
7
NR/m
3
1.3
Boundary conditions and loadings
·
Loading: actual weight following Z
Following displacements X and Y locked with zero.
·
Loading: actual weight following Y
Following displacements X and Z locked with zero.
1.4 Conditions
initial
Without object.
Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
3/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
Each node of the solid mass must undergo a displacement equal to:
case 1
case 2
:
….
.
:
D
B C has
G
B E has
C
G
E
D
B C has
G
C E has
B
G
E
F
F
F
F
1
2
=
=
=
=
2.2
Results of reference
case 1: displacement following Z
case 2: displacement following y
2.3
Uncertainty on the solution
Analytical solution.
Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
4/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
C
With
Z
y
D
B
X
case 1
Modeling
APPUI_REP
: 1 QUAD8
E
F
B
With
y
X
Z
case 2
Modeling
APPUI_REP
: 2 TRIA6
Boundary conditions:
for all the nodes DX = DY = 0.
Boundary conditions:
for all the nodes DX = DZ = 0.
3.2
Characteristics of the mesh
A number of nodes: 22
A number of meshs and types: 2 PENTA15
3.3 Functionalities
tested
Controls
Keys
DEFI_GROUP
CREA_GROUP_NO
GROUP_MA
[U4.12.03]
CREA_MAILLAGE
CREA_GROUP_MA
GROUP_MA
[U4.12.06]
DEFI_MATERIAU
APPUI_ELAS
[U4.23.01]
AFFE_MODELE
MODELING: APPUI_REP
[U4.22.01]
CALC_MATR_ELEM
RIGI_MECA
[U4.41.01]
Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
5/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
4
Results of modeling A
4.1 Values
tested
Case 1
Identification
Reference
Aster
% difference
WITH DZ
- 5.46557E-04
- 5.46485E-04
- 0.013
B DZ
- 5.46557E-04
- 5.46455E-04
- 0.019
C DZ
- 5.46557E-04
- 5.46455E-04
- 0.019
D DZ
- 5.46557E-04
- 5.46485E-04
- 0.013
E DZ
- 5.46557E-04
- 5.46615E-04
0.011
F DZ
- 5.46557E-04
- 5.46645E-04
0.016
G DZ
- 5.46557E-04
- 5.46645E-04
0.016
H DZ
- 5.46557E-04
- 5.46615E-04
0.011
Case 2
Identification
Reference
Aster
% difference
WITH DY
- 1.63967E-03
- 1.63951E-03
- 0.010
B DY
- 1.63967E-03
- 1.63966E-03
- 0.001
C DY
- 1.63967E-03
- 1.63966E-03
- 0.001
D DY
- 1.63967E-03
- 1.63951E-03
- 0.010
E DY
- 1.63967E-03
- 1.64014E-03
0.029
F DY
- 1.63967E-03
- 1.64019E-03
0.032
G DY
- 1.63967E-03
- 1.64019E-03
0.032
H DY
- 1.63967E-03
- 1.64014E-03
0.029
4.2 Parameters
of execution
Version: 3.06.04
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
5 seconds
Code_Aster
®
Version
3
Titrate:
Massive SSNV123 resting on an elastic mattress
Date:
24/08/99
Author (S):
B. QUINNEZ, L. VIVAN
Key:
V6.04.123-A
Page:
6/6
Manual of Validation
V6.04 booklet: Non-linear statics of the voluminal structures
HI-75/98/040 - Ind A
5
Summary of the results
The results obtained agree well with the results of reference.