Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
1/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
Organization (S):
EDF/MTI/MN, SAMTECH
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.139
SSNV139 - Plate 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.
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
2/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
1
Problem of reference
1.1 Geometry
X
y
Z
5
.
0
=
H
100
=
L
20
=
B
X
O
20
=
F
P
P
1
P
2
P
Oblique plate embedded in
P P
1 2
and subjected in
P
with a concentrated vertical force:
F
E
= -
>
F
F
Z
;
0
1.2
Material properties
Elastic behavior:
E
=
=
2100000
1
3
;
1.3
Boundary conditions and loadings
Embedding in
P P
1 2
. One seeks the successive states of balance under the loading made up of
the force:
()
F T
T
=
in
P T
,
being pseudo time.
One is interested particularly in displacements horizontal and vertical in
P
.
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
3/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
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].
elements
20
elements
4
The mesh considered is of
4
20
×
quadrilateral elements with 4noeuds each one.
2.1 References
bibliographical
[1]
The SAMCEF software, Manual of reference V7.1 Elements Volume, 1998
[2]
J-L. BATOZ, G.DHATT: “Modeling of the Structures by Finite elements: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: Nonlinear kinematics of the Hulls. Report/ratio SAMTECH, Contract
PP/GC-134/96, 1998
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
4/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
3 Modeling
With
3.1
Characteristics of modeling
Element MEC3QU9H (voluminal hull)
Modeling
COQUE_3D
elements
15
elements
4
3.2
Characteristics of the mesh
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”
)
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
5/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
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
Overall dimension memory:
8 Mo
Time CPU To use total:
756.59 seconds
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
6/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
5 Modeling
B
5.1
Characteristics of modeling
Element MEC3TR7H (voluminal hull)
Modeling
COQUE_3D
elements
15
elements
4
5.2
Characteristics of the mesh
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”
)
)
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
7/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
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
Overall dimension memory:
8 Mo
Time CPU To use total: 762.78 seconds
Code_Aster
®
Version
5.0
Titrate:
SSNV139 - Plate Skews
Date:
09/02/00
Author (S):
P. MASSIN, Mr. Al MIKDAD
Key
:
V6.04.139-A
Page:
8/8
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/01/010/A
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 Lagrangian total [R3.07.04].
For this thin hull, the triangle and the quadrangle give good results.