Code_Aster ®
Version
5.0
Titrate:
SSLS113 - Excentrement of homogenized plates

Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND Clé
:
V3.03.113-A Page:
1/4

Organization (S): EDF/AMA, CS IF
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.113

SSLS113 - Excentrement of plates
homogenized

Summary:

This test makes it possible to validate the offsetting of the plates having a behavior “ELAS_COQUE”.

The reference is given by a first resolution where one models double-layered orthotropic not having one
material symmetry compared to the average plan.

The validation is done in the second calculation where one models the behavior of the preceding plate by 2
offset full-course plates having a behavior “ELAS_COQUE”.

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS113 - Excentrement of homogenized plates

Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND Clé
:
V3.03.113-A Page:
2/4

1
Problem of reference

1.1 Geometry
N60 GRNO13
N87

0,7071m

Z

N1
GRNO11
N28
0,1m
y

0,1m

0,7071m
X

Co-ordinates of the points:

N1 (0,0,0)
N87 (0,7071,0.7071, 0)


N28 (0,7071,0,0)
N60 (0,0.7071, 0)

1.2
Material properties

The material is double-layered.

The material constituting the first layer is orthotropic and is characterized by the data
following:

EL = 6800. Pa
AND = 6800.Pa
VLT = 0.35
GLT = 2530.Pa.

The material constituting the second layer is also orthotropic and is characterized by
following data:

EL = 14000.Pa
AND = 14000.Pa
VLT = 0.144
GLT = 2070.Pa.

1.3
Boundary conditions and loadings

Side N1N28 (GRN011) is embedded:

dx = 0.
Dy = 0.
dz = 0.



dRx = 0.
dRy = 0.
dRz = 0.

One imposes the ddls dx and Dy of the nodes on the side N80N60 (GROUPNO GRN013) on the values
following:

dx = 0.07071 m,
Dy = 0.07071 m

Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS113 - Excentrement of homogenized plates

Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND Clé
:
V3.03.113-A Page:
3/4

2
Reference solution

2.1
Method of calculation used for the reference solution

The reference solution results from the first calculation with ASTER with the double-layered one describes in
problem of reference.

2.2
Results of reference

They are consisted of the values of the field of displacement to the N1 node of co-ordinates (0, .0., 0.) (ddl
DZ) and with the N10 node of co-ordinates (0.216760, 0.0764431, 0.).

2.3
Uncertainty on the solution

Null, since it is about the same calculation carried out by two different ways.

3 Modeling

3.1
Characteristics of modeling

The model consists of 2 plates corresponding to the average plan of the 2 layers of the model of
reference.

To represent these 2 plates, one leaves the grid of the average plan of double-layered which one offsets
distances - 0.05 m and 0.05 Mr.

PLAQ1
The elements used are elements of

plate DKT.


PLAQ
2

+
0.05
-
0.05

One assigns behavior “ELAS_COQUE” to each one of these plates corresponding to
homogenized orthotropic behavior of the corresponding layer.

The values of the coefficients material introduced under “ELAS_COQUE” were calculated directly
[U4.43.01], page 27.

3.2
Characteristics of the grid

The model has 87 triangular nodes and 140 elements DKT.

3.3 Functionalities
tested

Order Mot
key
AFFE_CARA_ELEM
Offsetting

DEFI_MATERIAU
ELAS_COQUE


Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS113 - Excentrement of homogenized plates

Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND Clé
:
V3.03.113-A Page:
4/4

4
Result of modeling A

4.1 Values
tested

Identification Reference
ASTER %
Difference
DZ (N1)
­ 0.169388 ­ 0.169388
0
DX (N10)
0.008962 0.008962
0
DY (N10)
0.008170 0.008170
0
DZ (N10)
0.163598 0.163598
0
DRX (N10)
4.196430 4.196428
0
DRY (N10)
­ 0.050793 ­ 0.050793
0

4.2 Remarks

No the error compared to double-layered orthotropic.

5 Synthesis

The results show the good taking into account of offsetting for ELAS_COQUE.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

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