Code_Aster ®
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
1/24

Organization (S): EDF-R & D/AMA, CS IF
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
Document: V3.03.115

SSLS115 - Composite square Plaque under pressure
uniform

Summary:

One treats the case of a square plate tri-layers, simply supported and subjected to a uniform pressure.
The skins consist of an orthotropic homogeneous material, as well as the core (same axes of orthotropism).
The modules E and G of the core are ten times weaker than those of the skins.

One calculates displacement in the center as well as the constraints with the lower and higher interfaces of
skins.

The test gathers eight modelings: with regard to the four first, the results obtained are
compared for triangular surface meshs then quadrangular, in two reference marks user
different. Four last modelings make it possible to measure the sensitivity of the results the orientation
triangular meshs in the two reference marks user.

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
2/24

1
Problem of reference

1.1 Geometry

Because of the geometrical and physical symmetry of the problem, only the quarter of the plate is
modelled.

L
L
With
= 500 mm
2
2
B
D
Z
y
X
H = 100 mm
C
10 mm
Material 1
Material 2
80 mm
Material 1
10 mm

L
Twinge:
= 10: the plate is relatively thick.
H

1.2
Material properties


Material 1
Material 2
E_L (1011 NR/m ²)
3.4156
0.34156
E_T (1011 NR/m ²)
1.793
0.1793
G_LN (1011 NR/m ²)
0.608
0.0608
G_TN (1011 NR/m ²)
1.015
0.1015
G_LT (1011 NR/m ²)
1.0
0.1
NU_T
0.44
0.44

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

Code_Aster ®
Version
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
3/24

1.3
Boundary conditions and loadings

Simple bearing plate
C.L. :
AB:
DZ = 0.
DRY=0.


AD:
DZ = 0.
DRX=0.

Symmetry
BC:
DX = 0.
DRY=0.
DRZ=0.

CD:
DY = 0.
DRX=0. DRZ=0.

Loading:

FORCE_COQUE
Uniform pressure
P = 1N/m ²

2
Reference solution

2.1
Reference solution

The numerical solution obtained with a theory of plate multi-layer in linear elasticity
orthotropic is given in the reference [bib1] page 341.

2.2
Results of reference

At the point C, one calculates displacement according to Z of the point as well as the constraints with the interfaces
X
lower and higher of the skins.

2.3
Uncertainty on the solution

Numerical solution.

2.4 References
bibliographical

[1]
BATOZ and DHATT. Modeling of the structures by finite elements. Beams and plates.
Hermès, 1990.
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
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:
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3 Modeling
With

3.1
Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The reference mark user is confused with the reference mark of orthotropism.

D
C
With
B

Limiting conditions:
DDL_IMPO
(GROUP_NO=' AB', DZ=0., DRY=0.)
(GROUP_NO=' BC', DX=0., DRY=0.)
(GROUP_NO=' CD', DY=0., DRX=0.)
(GROUP_NO=' DA', DZ=0., DRX=0.)
Not C
net: 72

3.2
Characteristics of the grid

A number of nodes: 56

A number of meshs and types: 72 TRIA3

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
5/24

3.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

DDL_IMPO
GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


4
Results of modeling A

4.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 4.7662E+01
1.194
X

on higher layer 3
5.8800E+01 5.9577E+01
1.323
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 4.7662E+01
1.194
X

on higher layer 2
4.7100E+01 4.7662E+01
1.194
X

on lower layer 1
­ 5.8800E+01 ­ 5.9577E+01
1.323
X

on higher layer 1 ­ 4.7100E+01 ­ 4.7662E+01
1.194
X
DX
0.0.0.0.0.0
Displacement DY
0.0.0.0.0.0
DZ
4.1920E+01 4.1851E+01
­ 0.163

4.2
Contents of the file results

Values at the point of observation of displacements and constraints.
X

4.3 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 5.74 seconds

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

Code_Aster ®
Version
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
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5 Modeling
B

5.1
Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The reference mark user is confused with the reference mark of orthotropism.

D
C
With
B

Limiting conditions:
DDL_IMPO
(GROUP_NO=' AB', DZ=0., DRY=0.)
(GROUP_NO=' BC', DX=0., DRY=0.)
(GROUP_NO=' CD', DY=0., DRX=0.)
(GROUP_NO=' DA', DZ=0., DRX=0.)
Not C
net: 36

5.2
Characteristics of the grid

A number of nodes: 57

A number of meshs and types: 36 QUAD4
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
7/24

5.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

DDL_IMPO
GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


6
Results of modeling B

6.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 5.0881E+01
8.028
X

on higher layer 3
5.8800E+01 6.3601E+01
8.166
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 5.0881E+01
8.028
X

on higher layer 2
4.7100E+01 5.0881E+01
8.028
X

on lower layer 1
­ 5.8800E+01 ­ 6.3601E+01
8.166
X

on higher layer 1 ­ 4.7100E+01 ­ 5.0881E+01
8.028
X
DX
0.0.0.0.0.0
Displacement DY
0.0.0.0.0.0
DZ
4.1920E+01 4.2040E+01
0.29

6.2
Contents of the file results

Values at the point of observation of displacements and constraints.
X

6.3 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.25 seconds

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
8/24

7 Modeling
C

7.1
Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The model of plate associated with modeling A is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta.
C
D
B
With


Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO=' AB', ANGL_NAUT= (20., 30., 0.), DZ=0., DRY=0.)
(GROUP_NO=' BC', ANGL_NAUT= (20., 30., 0.), DX=0., DRY=0.)
(GROUP_NO=' CD', ANGL_NAUT= (20., 30., 0.), DY=0., DRX=0.)
(GROUP_NO=' DA', ANGL_NAUT= (20., 30., 0.), DZ=0., DRX=0.)
Not C
net: 72

7.2
Characteristics of the grid

A number of nodes: 56

A number of meshs and types: 72 TRIA3
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
9/24

7.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

LIAISON_OBLIQUE
ANGLE_NAUT

GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


8
Results of modeling C

8.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 4.7662E+01
1.194
X

on higher layer 3
5.8800E+01 5.9577E+01
1.323
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 4.7662E+01
1.194
X

on higher layer 2
4.7100E+01 4.7662E+01
1.194
X

on lower layer 1
­ 5.8800E+01 ­ 5.9577E+01
1.323
X

on higher layer 1
­ 4.7100E+01 ­ 4.7662E+01
1.194
X
DX
1.9696E+01 1.9663E+01
­ 0.163
Displacement DY
7.1687E+00 7.1570E+00
­ 0.162
DZ
3.6304E+01 3.6244E+01
­ 0.163

8.2 Remarks

The values of reference of displacement to the point C are obtained by projecting displacement
theoretical bench for a plate not turned in the new reference mark user (displacement for
a not turned plate being vertical, new displacement is a function of the projection of the axis
Z). In the local reference mark, the projection of axis Z is as follows:

sin cos


sin sin, with = 20. and =
.
30


cos

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
10/24

8.3
Contents of the file results

Values at the point of observation of displacements and constraints.
X

8.4 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.52 seconds

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
11/24

9 Modeling
D

9.1
Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The model of plate associated with modeling B is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta.

C
D
B
With



Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO=' AB', ANGL_NAUT= (20., 30., 0.), DZ=0., DRY=0.)
(GROUP_NO=' BC', ANGL_NAUT= (20., 30., 0.), DX=0., DRY=0.)
(GROUP_NO=' CD', ANGL_NAUT= (20., 30., 0.), DY=0., DRX=0.)
(GROUP_NO=' DA', ANGL_NAUT= (20., 30., 0.), DZ=0., DRX=0.)
Not C
net: 36

9.2
Characteristics of the grid

A number of nodes: 57

A number of meshs and types: 36 QUAD4
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

Code_Aster ®
Version
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
12/24

9.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

LIAISON_OBLIQUE
ANGLE_NAUT

GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


10 Results of modeling D

10.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 5.0881E+01
8.028
X

on higher layer 3 5.8800E+01 6.3601E+01
8.166
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 5.0881E+01
8.028
X

on higher layer 2 4.7100E+01 5.0881E+01
8.028
X

on lower layer 1
­ 5.8800E+01 ­ 6.3601E+01
8.166
X

on higher layer 1 ­ 4.7100E+01 ­ 5.0881E+01
8.028
X
DX
1.9696E+01 1.9750E+01
0.290
Displacement DY
7.1687E+00 7.1895E+00
0.291
DZ
3.6304E+01 3.6409E+01
0.289

10.2 Remarks

The values of reference of displacement to the point C are obtained by projecting displacement
theoretical bench for a plate not turned in the new reference mark user (displacement for
a not turned plate being vertical, new displacement is a function of the projection of the axis
Z). In the local reference mark, the projection of axis Z is as follows:

sin cos


sin sin, with = 20. and =
.
30


cos

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
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J.M. PROIX, NR. RAHNI Key
:
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10.3 Contents of the file results

Values at the point of observation of displacements and constraints.
X

10.4 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 6.11 seconds

11 Modeling
E

11.1 Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The reference mark user is confused with the reference mark of orthotropism. Compared to modeling A,
the model is characterized here by an orientation different from the surface meshs.

D
C
With
B

Limiting conditions:
DDL_IMPO
(GROUP_NO=' AB', DZ=0., DRY=0.)
(GROUP_NO=' BC', DX=0., DRY=0.)
(GROUP_NO=' CD', DY=0., DRX=0.)
(GROUP_NO=' DA', DZ=0., DRX=0.)
Not C
net: 72

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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:
V3.03.115-A Page:
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11.2 Characteristics of the grid

A number of nodes: 56

A number of meshs and types: 72 TRIA3

11.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

DDL_IMPO
GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


12 Results of modeling E
12.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 5.2430E+01
11.317
X

on higher layer 3 5.8800E+01 6.5537E+01 11.459
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 5.2430E+01
11.317
X

on higher layer 2 4.7100E+01 5.2430E+01 11.317
X

on lower layer 1
­ 5.8800E+01 ­ 6.5537E+01
11.459
X

on higher layer 1 ­ 4.7100E+01 ­ 5.2430E+01
11.317
X
DX
0.0.0.0.0.0
Displacement DY
0.0.0.0.0.0
DZ
4.1920E+01 4.2024E+01
0.248

12.2 Contents of the file results

Values at the point of observation of displacements and constraints.
X

12.3 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.14 seconds
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
15/24

13 Modeling
F

13.1 Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The model of plate associated with modeling E is turned of 20 degrees according to the nautical angle
alpha and of 30 degrees according to beta. Compared to modeling C, the model is here
characterized by an orientation different from the meshs.
C
D
B
With


Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO=' AB', ANGL_NAUT= (20., 30., 0.), DZ=0., DRY=0.)
(GROUP_NO=' BC', ANGL_NAUT= (20., 30., 0.), DX=0., DRY=0.)
(GROUP_NO=' CD', ANGL_NAUT= (20., 30., 0.), DY=0., DRX=0.)
(GROUP_NO=' DA', ANGL_NAUT= (20., 30., 0.), DZ=0., DRX=0.)
Not C
net: 72

13.2 Characteristics of the grid

A number of nodes: 56

A number of meshs and types: 72 TRIA3
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
16/24

13.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

LIAISON_OBLIQUE
ANGLE_NAUT

GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


14 Results of modeling F
14.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 5.2430E+01
11.317
X

on higher layer 3
5.8800E+01 6.5537E+01
11.459
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 5.2430E+01
11.317
X

on higher layer 2
4.7100E+01 5.2430E+01
11.317
X

on lower layer 1
­ 5.8800E+01 ­ 6.5537E+01
11.459
X

on higher layer 1
­ 4.7100E+01 ­ 5.2430E+01
11.317
X
DX
1.9696E+01 1.9744E+01
0.248
Displacement DY
7.1687E+00 7.1865E+00
0.249
DZ
3.6304E+01 3.6393E+01
0.248

14.2 Remarks

The values of reference of displacement to the point C are obtained by projecting displacement
theoretical bench for a plate not turned in the new reference mark user (displacement for
a not turned plate being vertical, new displacement is a function of the projection of the axis
Z). In the local reference mark, the projection of axis Z is as follows:

sin cos


sin sin, with = 20. and =
.
30


cos

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
Author (S):
J.M. PROIX, NR. RAHNI Key
:
V3.03.115-A Page:
17/24

14.3 Contents of the file results

Values at the point of observation of displacements and constraints.
X

14.4 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.22 seconds

15 Modeling
G

15.1 Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The model of plate is turned of 20 degrees according to the nautical angle alpha and of 30 degrees according to
beta, without reference to a model not turned.
The orientation of the meshs is here identical to that of the reference [bib1].
C
D
B
With


Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO=' AB', ANGL_NAUT= (20., 30., 0.), DZ=0., DRY=0.)
(GROUP_NO=' BC', ANGL_NAUT= (20., 30., 0.), DX=0., DRY=0.)
(GROUP_NO=' CD', ANGL_NAUT= (20., 30., 0.), DY=0., DRX=0.)
(GROUP_NO=' DA', ANGL_NAUT= (20., 30., 0.), DZ=0., DRX=0.)
Not C
net: 72

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

Code_Aster ®
Version
6.0
Titrate:
SSLS115 - Composite square Plaque under uniform pressure
Date:
23/10/02
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J.M. PROIX, NR. RAHNI Key
:
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18/24

15.2 Characteristics of the grid

A number of nodes: 56

A number of meshs and types: 72 TRIA3

15.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

LIAISON_OBLIQUE
ANGLE_NAUT

GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


16 Results of modeling G

16.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 4.7920E+01
1.742
X

on higher layer 3
5.8800E+01 5.9900E+01
1.872
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 4.7920E+01
1.742
X

on higher layer 2
4.7100E+01 4.7920E+01
1.742
X

on lower layer 1
­ 5.8800E+01 ­ 5.9900E+01
1.872
X

on higher layer 1
­ 4.7100E+01 ­ 4.7920E+01
1.742
X
DX
1.9696E+01 1.9882E+01
0.946
Displacement DY
7.1687E+00 7.2365E+00
0.947
DZ
3.6304E+01 3.6647E+01
0.946

16.2 Remarks

The values of reference of displacement to the point C are obtained by projecting displacement
theoretical bench for a plate not turned in the new reference mark user (displacement for
a not turned plate being vertical, new displacement is a function of the projection of the axis
Z). In the local reference mark, the projection of axis Z is as follows:

sin cos


sin sin, with = 20. and =
.
30


cos

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

Code_Aster ®
Version
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
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J.M. PROIX, NR. RAHNI Key
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16.3 Contents of the file results

Values at the point of observation of displacements and constraints.
X

16.4 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.22 seconds

17 Modeling
H

17.1 Characteristics of modeling

Element of hull DST (modeling of a quarter of plate).
The model of plate is turned of 20 degrees according to the nautical angle alpha and of 30 degrees according to
beta, without reference to a model not turned.
C
D
B
With

Limiting conditions:
LIAISON_OBLIQUE
(GROUP_NO=' AB', ANGL_NAUT= (20., 30., 0.), DZ=0., DRY=0.)
(GROUP_NO=' BC', ANGL_NAUT= (20., 30., 0.), DX=0., DRY=0.)
(GROUP_NO=' CD', ANGL_NAUT= (20., 30., 0.), DY=0., DRX=0.)
(GROUP_NO=' DA', ANGL_NAUT= (20., 30., 0.), DZ=0., DRX=0.)
Not C
net: 142
Handbook of Validation
V3.03 booklet: Linear statics of the hulls and the plates
HT-66/02/001/A

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17.2 Characteristics of the grid

A number of nodes: 101

A number of meshs and types: 144 TRIA3

17.3 Functionalities
tested

Commands




AFFE_MODELE
“MECANIQUE”
“DST”


MODI_MAILLAGE
ORIE_NORME_COQUE

AFFE_CARA_ELEM
COQUE
EPAIS

ANGLE_REP

DEFI_MATERIAU
ELAS_ORTH

DEFI_COQU_MULT
COUCHE
EPAIS

ORIENTATION

AFFE_CHAR_MECA
FORCE_COQUE
PRES
TOUT

LIAISON_OBLIQUE
ANGLE_NAUT

GROUP_NO

MECA_STATIQUE

CALC_CHAM_ELEM
SIGM_ELNO_DEPL


18 Results of modeling H

18.1 Values
tested

Not C
Identification
Reference
Aster %
Difference

on lower layer 3
4.7100E+01 5.0957E+01
8.19
X

on higher layer 3
5.8800E+01 6.3691E+01
8.32
X
Constraints
on lower layer 2
­ 4.7100E+01 ­ 5.0957E+01
8.19
X

on higher layer 2
4.7100E+01 5.0957+01
8.19
X

on lower layer 1
­ 5.8800E+01 ­ 6.3696E+01
8.32
X

on higher layer 1
­ 4.7100E+01 ­ 5.0957E+01
8.19
X
DX
1.9696E+01 1.9735E+01
0.199
Displacement DY
7.1687E+00 7.1830E+00
0.200
DZ
3.6304E+01 3.6376E+01
0.200

18.2 Remarks

The values of reference of displacement to the point C are obtained by projecting displacement
theoretical bench for a plate not turned in the new reference mark user (displacement for
a not turned plate being vertical, new displacement is a function of the projection of the axis
Z). In the local reference mark, the projection of axis Z is as follows:

sin cos


sin sin, with = 20. and =
.
30


cos

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

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Titrate:
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18.3 Contents of the file results

Values at the point of observation of displacements and constraints.
X

18.4 Parameters
of execution

Version: 6.0.29



Machine: SGI - ORIGIN 2000


Obstruction memory:
32 Mo
Time CPU To use: 4.22 seconds

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

Code_Aster ®
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Titrate:
SSLS115 - Composite square Plaque under uniform pressure
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19 Synthesis
graph



Modeling C
Modeling D


Modeling F
Modeling G




























Modeling H
% Forced
% Displacement
C
1.2
­ 0.17
D
8.1
0.23
F
11.4
0.25
G
1.8
0.95
H
8.2
0.20

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

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20 Summary of the results

The results obtained show that:

· With identical grid (standard of surface meshs and orientation of the meshs), change
of reference mark user does not influence the constraints;
· Because of orthotropism of the problem, there is a considerable sensitivity to the orientation
triangular surface meshs (the precision of calculations passes from 1 to 11% for
constraints and from 0.17 to 0.95% for displacements). This sensitivity does not disappear in
refining the grid. This point is thus to take into account at the time of the comparison of
performances triangle/quadrangle.

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

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

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