Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
1/8

Organization (S): EDF/AMA, INSA-Lyon
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
V3.03.109 document
SSLS109 - Plaque in traction made up of three
tablecloths of reinforcements (Modčle GRILL)

Summary

This test quasi-static 2D forced plane enters within the framework of the validation of the finite elements in elasticity
linear. A plate made up of three tablecloths of reinforcements offset compared to the average layer is
subjected to a uniaxial traction. The orientations of the reinforcements and the mechanical characteristics are
different for the three tablecloths.

The principal interest of this test is to validate in linear elasticity the model “GRILL” which is in fact an element
of thin section (DKT) with a offsetting compared to the average layer.

The results provided by model “GRILL” (modeling B) are identical to those obtained by
modeling “DEFI_COQU_MULT” of Code_Aster (modeling A).

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

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
2/8

1
Problem of reference

1.1 Geometry

Y
NO4
NO3
Xref
30°
X
NO1
NO2


Xref
Z
Y
Xref
- 75°
- 20°
Xref
1
E
E
2
X
E
3


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

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
3/8

1.2
Properties of materials

Solid 1
E
1
1 =;
7
1
G
10
=
;
0
1 =
;
=
=1
1
L
T1
; offsetting = +0,01; épaisseur=0,01
Solid 2
E
2
2 =
;
7
G2 10
=
;
0
2 =
;
=
=1
L2
T 2
; offsetting = 0,00; épaisseur= 0,01
Solid 3
E
3
3 =
;
7
3
G
10
=
;
0
3 =
;
=
= 1
L3
T3
; offsetting = - 0,01; épaisseur= 0,01

1.3
Boundary conditions and loadings

Embedded side NO1-NO4.
One imposes a tractive effort on side NO2-NO3: FX = 2

2
Reference solution

2.1 Solution
formal

Model DEFI_COQU_MULT of Code_Aster (modeling A) makes it possible to validate the model
“GRILL” proposed (modeling B).

2.2
Numerical values of reference

Values of:

U, v, W, X and y with node NO2,
membrane deformation: xx, yy, xy in solid 1 calculated with node NO2,
variation of curvature: xx, yy, xy in solid 1 calculated with node NO2,
constraints 3D: xx, yy, zz, xy in solid 1 calculated with node NO2.

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

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
4/8

3 Modeling
With

3.1
Characteristics of modeling

The test-tube is with a grid with four elements “DKT”

Y
NO4
NO3
1
1
NO5
X
1
1
NO1
NO2


Grid:

A number of nodes: 5
A number of meshs and type: 4 meshs TRIA3

The grid is symmetrical in order to avoid the parasitic modes of deformations.

3.2
Stages of calculation and functionalities tested

The principal stages of calculation correspond to the functionalities which one wishes to validate:

Commands



AFFE_MODELE AFFE MODELING
“DKT”

AFFE_CARA_ELEM HULL



DEFI_MATERIAU ELAS_ORTH



DEFI_COQU_MULT SLEEP



MECA_STATIQUE



CALC_ELEM


CALC_NO


RECU_CHAMP


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

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
5/8

4
Results of modeling A



Variables
DEFI_COQU_MULT

(modeling A)
Displacements node NO2

U 81.9373
v ­ 18.6398
W 2098.66
X
­ 1239.88
y
­ 3820.42
Deformations node NO2

(Solid 1)
xx
32.9433
yy
2.33011
xy
­ 34.3522
zz
0
Constraints node NO2

(Solid 1)
xx
42.7252
yy
63.0951
xy
­ 5.88029
zz
0
Curvatures node NO2

(Solids 1, 2 and 3)
xx
­ 531.043
yy
­ 2035.19
xy
2058.44

4.1 Remarks

R
R
The results presented are given in the reference mark of reference (X
, Y
)
ref.
ref. forming an angle of 30°
R R
compared to (X, Y), concerning the deformations, constraints and curvatures.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
6/8

5
Modeling B (GRID)

5.1
Characteristics of modeling

The test-tube is with a grid with 12 elements “GRILL” (4 elements by tablecloth of reinforcements) with three
nodes (thin section: formulation DKT with offsetting compared to the datum-line).
nodes are common to each tablecloth.

Y
NO4
NO3
1
1
NO5
X
1
1
NO1
NO2


Grid:
A number of nodes: 5
A number of meshs and type: 3x4 meshs TRIA3

The grid is symmetrical in order to avoid the parasitic modes of deformations.

5.2
Stages of calculation and functionalities tested

The principal stages of calculation correspond to the functionalities which one wishes to validate:

Commands



AFFE_MODELE AFFE
MODELING “ROASTS”


PHENOMENE
“MECANIQUE”

DEFI_MATERIAU ELAS


AFFE_CARA_ELEM ROASTS



MECA_STATIQUE



CALC_ELEM OPTION
EPSI_ELNO_DEPL



SIGM_ELNO_DEPL



DEGE_ELNO_DEPL



EFGE_ELNO_DEPL



SIEF_ELGA_DEPL


CALC_NO OPTION
FORC_NODA


RECU_CHAMP


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

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
7/8

6
Results of modeling B





Variables
Modeling A
Modeling B
% difference
Displacements node NO2



U 81.9373
81.9373
0
v ­ 18.6398
­ 18.6398
0
W 2098.66
2098.66
0
X
­ 1239.88 ­ 1239.88 0
y
­ 3820.42 ­ 3820.42 0
Deformations node NO2



(Solid 1)
xx
32.9433 32.9433 0
yy
2.33011 2.33011 0
xy
­ 34.3522 ­ 34.3522 0
zz
0 0
0
Constraints node NO2



(Solid 1) xx
42.7252 42.7252 0
yy
63.0951 63.0951 0
xy
­ 5.88029 ­ 5.88029 0
zz
0 0
0
Curvatures node NO2



(Solids 1, 2 and 3)
xx
­ 531.043 ­ 531.043 0
yy
­ 2035.19 ­ 2035.19 0
xy
2058.44 2058.44 0

6.1 Remarks

R
R
The results presented are given in the reference mark of reference (X
, Y
)
ref.
ref. forming an angle of 30°
R R
compared to (X, Y), concerning the deformations, constraints and curvatures.
Handbook of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
SSLS109 ­ Plaque in traction made up of three tablecloths of Date reinforcements
:

21/03/02
Author (S):
C. CHAVANT, O. MERABET, Key Mr. DJERROUD
:
V3.03.109-A Page:
8/8

7
Summary of the results and remarks general

The results of modeling A are identical to those of modeling B.

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

Outline document