Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
1/8

Organization (S): EDF/MTI/MN, SAMTECH

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.139

SSNV139 - Plaque skews

Summary:

Quasi static calculation of a horizontal oblique elastic plate embedded on a side and subjected to a force
concentrated vertical. The results are compared with those of software the SAMCEF software.

The interest is to test the finite element of COQUE_3D into nonlinear geometrical COQUE_3D while using
the algorithm of update of great rotations 3D GREEN_GR in STAT_NON_LINE.

Rotations are 3D and slightly higher than 1 radian.

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
2/8

1
Problem of reference

1.1 Geometry

y
Z
L = 100
P
P2
F
B = 20
O
= 20
X
H = 0.5
X
P1
P


Oblique plate embedded out of P P
1 2 and subjected out of P to a concentrated vertical force:

F = - F E
F
Z
;
> 0

1.2
Material properties

Elastic behavior:

1
E = 2100000; =
3

1.3
Boundary conditions and loadings

Embedding out of P P
1 2. One seeks the successive states of balance under the loading made up of
the force:

F (T) = T

out of P, T being pseudo time.

One is interested particularly in displacements horizontal and vertical in P.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
3/8

2
Reference solution

This solution [bib4] is that which is obtained with software the SAMCEF software [bib1]. Modeling is
based on a theory of hull in resulting efforts with a Co-rotational formulation [bib3] and
a discretization DSQ [bib2].

4 elements
20 elements


The grid considered is 20 × 4 elements quadrilateral with 4noeuds each one.

2.1 References
bibliographical

[1]
The SAMCEF software, Manuel of reference V7.1 Volume Eléments, 1998
[2]
J-L. BATOZ, G.DHATT: “Modeling of Structures by Eléments Finis:Beams and
Plates ", Hermès, Paris, 1992
[3]
Mr. A. CRISFIELD: “Non-linear Finite Element Analysis off Solids and Structures”, Volume 1:
Essentials, John Wiley, Chichester, 1994
[4]
PH. JETTEUR: Non Linéaire kinematics of Coques. Report/ratio SAMTECH, Contract
PP/GC-134/96, 1998
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
4/8

3 Modeling
With

3.1
Characteristics of modeling

Element MEC3QU9H (voluminal hull)

Modeling COQUE_3D

4 elements
15 elements


3.2
Characteristics of the grid

A number of nodes: 387

A number of meshs and types: 60 QUAD9

3.3 Functionalities
tested

· Modeling COQUE_3D into nonlinear geometrical.
· The static algorithm of update of great rotations GREEN_GR of STAT_NON_LINE.

COMP_ELAS:
(RELATION
: “ELAS”
COQUE_NCOU
: 1
DEFORMATION: “GREEN_GR”
)
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
5/8

4
Results of modeling A

4.1 Values
tested

History of horizontal displacement DX to the node charged

Moment
Force F
Aster
Reference
% difference
250. 250.
­ 3.902E+01
­ 3.807E+01
+2.514
500. 500.
­ 5.432E+01
­ 5.200E+01
+4.470

History of vertical displacement DZ to the node charged

Moment
Force F
Aster
Reference
% difference
250. 250.
­ 7.218E+01
­ 7.240E+01
­ 0.307
500. 500.
­ 8.103E+01
- 8.073E+01
+0.371

4.2 Remarks

One uses the default value of COEF_RIGI_DRZ = 0.00001.



4.3 Parameters
of execution

Version: 5.01.18



Machine: SGI

System:
CLASTER
Obstruction memory:
8 Mo
Time CPU total User:
756.59 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
6/8

5 Modeling
B

5.1
Characteristics of modeling

Element MEC3TR7H (voluminal hull)

Modeling COQUE_3D

4 elements
15 elements


5.2
Characteristics of the grid

A number of nodes: 507

A number of meshs and types: 120 TRIA7

5.3 Functionalities
tested

· Modeling COQUE_3D into nonlinear geometrical.
· The static algorithm of update of great rotations GREEN_GR of STAT_NON_LINE.

STAT_NON_LINE:
(
COMP_ELAS:
(
RELATION
: “ELAS”
COQUE_NCOU
: 1
DEFORMATION: “GREEN_GR”
)
)

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
7/8

6
Results of modeling B

6.1 Values
tested

History of horizontal displacement DX to the node charged

Moment
Force F
Aster
Reference
% difference
250. 250.
­ 3.744E+01
­ 3.807E+01
­ 1.648
500. 500.
­ 5.227E+01
­ 5.200E+01
+0.517

History of vertical displacement DZ to the node charged

Moment
Force F
Aster
Reference
% difference
250. 250.
­ 7.044E+01
­ 7.240E+01
­ 2.705
500. 500.
­ 7.917E+01
­ 8.073E+01
­ 1.930

6.2 Remarks

One uses the default value of COEF_RIGI_DRZ = 0.00001.



6.3 Parameters
of execution

Version: 5.01.18



Machine: SGI

System:
CLASTER
Obstruction memory:
8 Mo
Time CPU total User: 762.78 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Code_Aster ®
Version
5.0
Titrate:
SSNV139 - Plate Skews


Date:
09/02/00
Author (S):
P. MASSIN, Key Mr. Al MIKDAD
:
V6.04.139-A Page:
8/8

7
Summary of the results

The model used for the reference solution is based on a theory in resulting efforts with
Co-rotational formulation [bib3], whereas that of Code_Aster uses a voluminal approach with
a formulation in total Lagrangien [R3.07.04].

For this thin hull, the triangle and the quadrangle give good results.

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A

Outline document