Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
1/10
Organization (S): EDF-R & D/AMA, INSA LYON
Handbook of Validation
V6.05 booklet: Nonlinear statics
Document: V6.05.101
SSNS101 Claquage of a cylindrical panel
under specific force
Summary:
This test of nonlinear quasi-static mechanics makes it possible to validate elements SHB8 into nonlinear
geometrical and material.
Three modelings make it possible to study various configurations:
·
linear modeling a: elastic behavior, great displacements, support on average surface
·
linear modeling b: elastic behavior, great displacements, support on surface
lower
·
modeling C: elastoplastic behavior of Von Mises with linear isotropic work hardening, large
displacements, support on average surface.
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
2/10
1
Problem of reference
1.1 Geometry
F
2L
2
One models a quarter of the panel because of symmetries:
SU0
L31290
P2 ·
L4590
SUSUP
·
Cylindrical panel
- Angle 2 = 0.1 rad
- L=254mm
- R=2450mm
- Thickness h=12.7mm
1.2
Properties of material
The fixed characteristics are as follows:
Elastic characteristics:
E=3102.75 MPa
NU=0.3
Traction diagram:
Eps
Sig
1.e-03
3.102,
0.1 33.5,
1.
150,
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
3/10
1.3
Boundary conditions and loadings
Conditions of symmetry on coasts SU0 and SUSUP
Embedding on the side L31290 (what returns in a simple support) for modelings A and C.
Embedding on the line L4590 (simple support on the lower part of the hull) for
modeling B.
Nodal force FX=-0.25 NR on the P2 point. (total resultant by taking of account symmetries: 1N).
The loading is controlled by the value of displacement following X of the P2 point. The amplitude of the force
(ETA coefficient of control) is increased so that displacement crosses until 45mm by
no the 1mm.
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
4/10
2
Reference solution
2.1
Method of calculation
Numerical solution [bib1] [bib2]: values of the parameter of control (thus of the force F) according to
time (thus of displacement DX of the P2 point).
2.2
Sizes and results of reference
Coefficient of control (coeff. Multiplier of the force applied) according to displacement DX of
not P2
In the case of simple modeling a: support on the average surface of the hull: results
obtained by the code INCA [bib1].
In the case of modeling B, with conditions of simple support on the lower edge of the hull,
the curve of reference given in [bib2], is:
Displacement
Force (NR) [bib1]
Force (NR) [bib2]
2 0.706 0.730
4 1.273 1.315
6 1.707 1.760
8 2.007 2.066
10 2.160 2.221
12 2.129 2.189
14 1.827 1.876
16 1.180 1.178
18 0.677 0.654
20 0.592 0.582
In the case of modeling C: simple support on the average surface of the hull, in
elastoplasticity, the results are obtained by the code INCA [bib1].
2.3
Uncertainties on the solution
Without object
2.4 References
[1]
“Elastoplastic Stability analysis oh shells using the physically stabilized finite element
SHB8PS " A. Legay, A. Combescure, International Journal for Numerical Methods in
Engineering, 20 1-6, 2000,
[2]
“A geometrical non-linear brig element based one the eas method” Kinkel S, Wagner W.,
International Journal for Numerical Methods in Engineering, 40 4529-4545 1997,
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
5/10
3 Modeling
With
3.1
Characteristics of modeling
Simple support on the average line. Linear elasticity in great displacements.
3.2
Characteristics of the grid
A number of nodes: 242
A number of meshs and types: 100 HEXA8.
3.3 Functionalities
tested
Commands
AFFE_MODELE MODELING
SHB8
STANDARD STAT_NON_LINE CONTROL
DDL_IMPO
4
Results of modeling A
4.1
Sizes tested and results
Identified parameters: displacement in X of the P2 point, and coefficient of control (values of not
regression):
Identification (moment)
Values of displacement DX
Aster
P2 point
1.00000E+00 - 1.00000E+00 4.32117E+02
2.00000E+00 - 2.00000E+00 8.34401E+02
3.00000E+00 - 3.00000E+00 1.20919E+03
4.00000E+00 - 4.00000E+00 1.55870E+03
5.00000E+00 - 5.00000E+00 1.88499E+03
6.00000E+00 - 6.00000E+00 2.18993E+03
7.00000E+00 - 7.00000E+00 2.47513E+03
8.00000E+00 - 8.00000E+00 2.74194E+03
9.00000E+00 - 9.00000E+00 2.99133E+03
1.00000E+01 - 1.00000E+01 3.22392E+03
1.10000E+01 - 1.10000E+01 3.43983E+03
1.20000E+01 - 1.20000E+01 3.63865E+03
1.30000E+01 - 1.30000E+01 3.81934E+03
1.40000E+01 - 1.40000E+01 3.98007E+03
1.50000E+01 - 1.50000E+01 4.11808E+03
1.60000E+01 - 1.60000E+01 4.22949E+03
1.70000E+01 - 1.70000E+01 4.30899E+03
1.80000E+01 - 1.80000E+01 4.34962E+03
1.90000E+01 - 1.90000E+01 4.34249E+03
2.00000E+01 - 2.00000E+01 4.27684E+03
2.10000E+01 - 2.10000E+01 4.14064E+03
2.20000E+01 - 2.20000E+01 3.92259E+03
2.30000E+01 - 2.30000E+01 3.61577E+03
2.40000E+01 - 2.40000E+01 3.22226E+03
2.50000E+01 - 2.50000E+01 2.75610E+03
2.60000E+01 - 2.60000E+01 2.24175E+03
2.70000E+01 - 2.70000E+01 1.70911E+03
2.80000E+01 - 2.80000E+01 1.18864E+03
2.90000E+01 - 2.90000E+01 7.08393E+02
3.00000E+01 - 3.00000E+01 2.92100E+02
3.10000E+01 - 3.10000E+01 - 4.24886E+01
3.20000E+01 - 3.20000E+01 - 2.84670E+02
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
6/10
3.30000E+01 - 3.30000E+01 - 4.30543E+02
3.40000E+01 - 3.40000E+01 - 4.81447E+02
3.50000E+01 - 3.50000E+01 - 4.41876E+02
3.60000E+01 - 3.60000E+01 - 3.17650E+02
3.70000E+01 - 3.70000E+01 - 1.14685E+02
3.80000E+01 - 3.80000E+01 1.61662E+02
3.90000E+01 - 3.90000E+01 5.06865E+02
4.00000E+01 - 4.00000E+01 9.17273E+02
4.10000E+01 - 4.10000E+01 1.39005E+03
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
7/10
5 Modeling
B
5.1
Characteristics of modeling
Simple support on the lower line. Linear elasticity in great displacements.
5.2
Characteristics of the grid
A number of nodes: 242
A number of meshs and types: 100 HEXA8.
5.3 Functionalities
tested
Commands
AFFE_MODELE MODELING
SHB8
STANDARD STAT_NON_LINE CONTROL
DDL_IMPO
6
Results of modeling B
6.1
Sizes tested and results
Identified parameters: displacement in X of the P2 point, and coefficient of control (values of not
regression):
Identification
Values of
Reference
Aster %
difference
(moment)
displacement DX
P2 point
1.00000E+00 - 1.00000E+00
3.62356E+02
2.00000E+00 - 2.00000E+00
718
6.90827E+02
3.7
3.00000E+00 - 3.00000E+00
9.86370E+02
4.00000E+00 - 4.00000E+00
1273
1.24973E+03
1.2
5.00000E+00 - 5.00000E+00
1.48135E+03
6.00000E+00 - 6.00000E+00
1707
1.68135E+03
1.5
7.00000E+00 - 7.00000E+00
1.84935E+03
8.00000E+00 - 8.00000E+00
2007
1.98436E+03
1
9.00000E+00 - 9.00000E+00
2.08451E+03
1.00000E+01 - 1.00000E+01
2160
2.14675E+03
0.6
1.10000E+01 - 1.10000E+01
2.16625E+03
1.20000E+01 - 1.20000E+01
2129
2.13546E+03
0.02
1.30000E+01 - 1.30000E+01
2.04250E+03
1.40000E+01 - 1.40000E+01
1827
1.86895E+03
2.2
1.50000E+01 - 1.50000E+01
1.58986E+03
1.60000E+01 - 1.60000E+01
1180
1.19840E+03
1.5
1.70000E+01 - 1.70000E+01
7.94355E+02
1.80000E+01 - 1.80000E+01
677
5.24466E+02
9
1.90000E+01 - 1.90000E+01
3.94813E+02
2.00000E+01 - 2.00000E+01
592
3.65830E+02
38
2.10000E+01 - 2.10000E+01
4.11856E+02
2.20000E+01 - 2.20000E+01
5.18868E+02
2.30000E+01 - 2.30000E+01
6.79056E+02
2.40000E+01 - 2.40000E+01
8.87954E+02
2.50000E+01 - 2.50000E+01
1.14302E+03
2.60000E+01 - 2.60000E+01
1.44286E+03
2.70000E+01 - 2.70000E+01
1.78686E+03
2.80000E+01 - 2.80000E+01
2.17489E+03
2.90000E+01 - 2.90000E+01
2.60718E+03
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
8/10
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
9/10
7 Modeling
C
7.1
Characteristics of modeling
Simple support on the average line. Elastoplasticity of Von Mises with linear isotropic work hardening in
great displacements.
7.2
Characteristics of the grid
A number of nodes: 242
A number of meshs and types: 100 HEXA8.
7.3 Functionalities
tested
Commands
AFFE_MODELE MODELING
SHB8
STANDARD STAT_NON_LINE CONTROL
DDL_IMPO
STAT_NON_LINE COMP_INCR RELATION VMIS_ISOT_TRAC
8
Results of modeling C
8.1
Sizes tested and results
Identified parameters: displacement in X of the P2 point, and coefficient of control:
Identification (moment)
Values of displacement
Aster
DX of the P2 point
1.00000E+00 - 1.00000E+00 4.28527E+02
2.00000E+00 - 2.00000E+00 7.21147E+02
3.00000E+00 - 3.00000E+00 9.10346E+02
4.00000E+00 - 4.00000E+00 1.04103E+03
5.00000E+00 - 5.00000E+00 1.13571E+03
6.00000E+00 - 6.00000E+00 1.20789E+03
7.00000E+00 - 7.00000E+00 1.26591E+03
8.00000E+00 - 8.00000E+00 1.31619E+03
9.00000E+00 - 9.00000E+00 1.36018E+03
1.00000E+01 - 1.00000E+01 1.39699E+03
1.10000E+01 - 1.10000E+01 1.42820E+03
1.20000E+01 - 1.20000E+01 1.45365E+03
1.30000E+01 - 1.30000E+01 1.47285E+03
1.40000E+01 - 1.40000E+01 1.48474E+03
1.50000E+01 - 1.50000E+01 1.48607E+03
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
Code_Aster ®
Version
7.2
Titrate:
SSNS101 Claquage of a cylindrical panel under specific force
Date:
03/11/03
Author (S):
J.M. PROIX, S. BAGUET, A. COMBESCURE Key
:
V6.05.101-A Page:
10/10
9
Summary of the results
The results obtained by Code_Aster with modeling SHB8 show the capacity of this element
to deal with problems of thin hulls with nongeometrical and behavioral linearities.
Handbook of Validation
V6.05 booklet: Nonlinear statics
HT-66/03/008/A
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