Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
1/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
Organization (S):
EDF-R & D/AMA
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
Document: V3.03.128
SSLS128 -
CALC_ELEM
: Validation of the option
CRIT_ELNO_RUPT
Summary:
This option allows, in the case of the multi-layer hulls to calculate in a layer the stresses in
identify the aforementioned as well as the corresponding criterion of Tsai-Hill.
Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
2/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
1
Problem of reference
1.1 Geometry
It is about a composite material made up of 16 superimposed layers of the same material and of
fiber directions different forming plate a 4.48 m thickness. The longitudinal direction or
feel fibers of each layer is defined by the first direction of orthotropism.
1.2
Property of material
The properties of material are:
·
longitudinal Young modulus: E_L = 59000 MPa
·
transverse Young modulus: E_T = 59000 MPa
·
modulus of rigidity in plan LT: G_LT = 3700 MPa
·
Poisson's ratio in plan LT:NU_LT = 0.08
·
criterion of rupture in traction in the longitudinal direction: XT = 560 MPa
·
criterion of rupture in compression in the longitudinal direction: TESTSTEMXÇS = - 475 MPa
·
criterion of rupture in traction in the transverse direction: YT = 560 MPa
·
criterion of rupture in compression in the transverse direction: TESTSTEMYÇS = - 475 MPa
·
criterion of rupture in shearing in plan LT: S_LT = 48 MPa
The orientation of the first layer is 0° compared to the reference mark of reference, for the second layer
45°, for the third 0° and so on.
1.3
Boundary conditions and loadings
·
N1
DY=0, DZ=0, DRX=0, DRY=0, DRZ=0
·
LEFT
DX=0
·
STRAIGHT LINE
FX= - 784 NR
LEFT
STRAIGHT LINE
N1
Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
3/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
2
Reference solution given by the software “Plates”
In the first layer with 0°
Sxx Syy Szz
- 242 - 67 0
Stresses in the reference mark of the plate
SSL ST
SLT
- 242 - 67 0
Stresses in the reference mark of the layer
Criterion of Tsai-Hill
TH
C
= 0.344
In the second with 45°
Sxx Syy Szz
- 108 - 67 0
Stresses in the reference mark of the plate
SSL ST
SLT
- 88 - 88 21
Stresses in the reference mark of the layer
Criterion of Tsai-Hill
TH
C
= 0.223
SSL is the stress in the first direction of orthotropism of the layer, ST the second and SLT
shear stress.
Sxx, Syy, Szz are the stresses in the reference mark of the user.
Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
4/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
3 Modeling
With
3.1
Characteristics of modeling
The hull is modelized by elements DKT. Its characteristics are defined in
AFFE_CARA_ELEM
:
·
thickness: 16 X 0.28 = 4.48 m
·
identify reference of the hull defined by
ANGL_REP
= 0.
The various layers are defined by the operator
DEFI_COQU_MULT
who gives for each
its thickness, its material and its orientation compared to the reference mark of reference sleep defined in
AFFE_CARA_ELEM
.
3.2
Characteristics of the mesh
A number of nodes: 624
A number of meshs and types: 48 SEG2 and 576 QUA4
3.3 Functionalities
tested
Controls
THICK DEFI_COQU_MULT
MATER
ORIENTATION
CALC_ELEM SIGM_ELNO_DEPL
CRIT_ELNO_RUPT
4
Results of modeling A
4.1 Values
tested
For the layer with 0°
Identification Reference
Aster %
difference
Sxx - 242 - 2.41623E+02
0.15
Syy 67
6.66229E+01
0.56
SSL - 242
- 2.41623E+02
0.15
ST 67
6.66229E+01
0.56
|SLT| 0
2.82232E-12
0
CTH 0.344
3.44256E-01
0.06
For the layer with 45°
Identification Reference
Aster %
difference
Sxx - 108 - 1.08377E+02
0.35
Syy - 67
- 6.66229E+01
0.56
SSL - 88
- 8.75000E+01
0.57
ST - 88
- 8.75000E+01
0.57
|SLT| 21
2.08771E+01
0.58
CTH 0.223
2.23106E-01
0.05
Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
5/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
5 Synthesis
The results obtained are satisfactory. The maximum of difference is approximately 0.6% and it is due to
fact that the results resulting from the software “Plate” are given with little precision.
Code_Aster
®
Version
7.2
Titrate:
SSLS128 - Validation of the option
CRIT_ELNO_RUPT
of
CALC_ELEM
Date:
05/03/04
Author (S):
J.M. PROIX
Key
:
V3.03.128-A
Page:
6/6
Manual of Validation
V3.03 booklet: Linear statics of the plates and hulls
HT-66/04/005/A
Intentionally white left page.