Code_Aster
®
Version
5.0
Titrate:
SSLS113 - Offsetting of homogenized plates
Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND
Key
:
V3.03.113-A
Page:
1/4
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
Organization (S):
EDF/AMA, CS IF
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.113
SSLS113 - Offsetting 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 modelizes double-layered orthotropic not having one
material symmetry compared to the average plan.
The validation is done in the second calculation where one modelizes the behavior of the preceding plate by 2
offset full-course plates having a behavior
“ELAS_COQUE”
.
Code_Aster
®
Version
5.0
Titrate:
SSLS113 - Offsetting of homogenized plates
Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND
Key
:
V3.03.113-A
Page:
2/4
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
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. AP
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
N28
N87
X
y
Z
N60 GRNO13
GRNO11
0,1m
0,1m
N1
0,7071m
0,7071m
Code_Aster
®
Version
5.0
Titrate:
SSLS113 - Offsetting of homogenized plates
Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND
Key
:
V3.03.113-A
Page:
3/4
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
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 channels.
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 mesh of the average plan of double-layered which one offsets
distances - 0.05 m and 0.05 Mr.
PLAQ1
PLAQ
2
+
0.05
-
0.05
The behavior is affected
“ELAS_COQUE”
with each one of these plates corresponding to
homogenized orthotropic behavior of the corresponding layer.
Values of the coefficients material introduced under
“ELAS_COQUE”
were calculated directly
[U4.43.01], page 27.
3.2
Characteristics of the mesh
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
The elements used are elements of
plate DKT.
Code_Aster
®
Version
5.0
Titrate:
SSLS113 - Offsetting of homogenized plates
Date:
23/09/02
Author (S):
J.M. PROIX, G. BERTRAND
Key
:
V3.03.113-A
Page:
4/4
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A
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
.