Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
1/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
Organization (S):
EDF/AMA
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.200
SSNV200 - Tensile test shearing
with the model
VISC_TAHERI
Summary:
The problem is quasi-static nonlinear in mechanics of the structures.
One analyzes the response of an element of volume to a loading in traction-shearing, carried out of such
way that that imposes a uniform state of stress-strain in the element. There is only one modeling
voluminal 3D.
This test is inspired by the SSNV102, which tests the behavior of S. Taheri in elastoplasticity. Here, one takes in
count viscosity.
Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
2/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
1
2
3
4
5
6
7
8
Face YZ: (1, 3, 5, 7)
Face XZ: (3, 4, 7, 8)
Face 1YZ: (2, 4, 6, 8)
Face 1XZ: (1, 2, 5, 6)
imposed shearing
y
X
Z
T
()
O
T
()
O
T
()
O
imposed pressure
T
()
O
function of effort
T
()
Face 1 X Z
Face 1Y Z
Face YZ
1.2
Material properties
isotropic elasticity
E = 200.000 MPa
= 0,3
plasticity Said Taheri C
inf
= 0.065 MPa
C
1
= - 0.012 Mpa
S = 450
B = 30
m = 0.1
has = 312
= 0.3
R
O
= 72
Viscosity:
LEMAITRE
N=11
UN_SUR_K = 3.28410E-04
UN_SUR_M = 0.17857
1.3
Boundary conditions and loadings
N04
dx = Dy = 0
Face YZ:
FX = FY = - F (T)
N08
dx = Dy = dz = 0
Face XZ:
FX = - F (T)
N02, N06
dx = 0
Face 1YZ:
FY = F (T)
Face 1XZ:
FX = F (T)
F (NR)
88.
1.
T (S)
0.
1.4 Conditions
initial
Null stresses and deformations with T = 0.
Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
3/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
2
Reference solution
2.1
Method of calculation used for the reference solution
The test is of nonregression. One thus notes the values obtained by Code_Aster, with the version
5.10
2.2
Results of reference
Values of
,
,
,
p
p
p
and
p
with the nodes with T = 1 S.
2.3
Uncertainty on the solution
2.4 References
bibliographical
[1]
S. ANDRIEUX - P. SCHOENBERGER - S. TAHERI: With three dimensional cyclic constitutive
law for metals with has semi-discrete memory variable - HI-71/8147 (1992)
[2]
P. GEYER - J.M. PROIX - P. SCHOENBERGER - S. TAHERI: Modeling of
phenomena of progressive deformation - Collection of the notes intern DER
93NB00153
Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
4/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
Modeling 3D:
Cubic elementary with a grid using a hexahedron with 8 nodes.
1
2
7
8
y
X
F
F
F
F
F
F
2F
2F
T
1s
22 NR
F
Z
5
6
3
4
has
3.2
Characteristics of the mesh
1 mesh HEXA8, width side has = 1.
3.3 Functionalities
tested
Order
Key word factor
Simple key word
Argument
DEFI_MATERIAU
TAHERI
DEFI_MATERIAU
LEMAITRE
STAT_NON_LINE
COMP_INCR
RELATION
VISC_TAHERI
NEWTON
STAMP
“TANGENT”
Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
5/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster %
difference
in all nodes
2.10
- 5
2.10
- 5
0
2.610
- 5
2.610
- 5
0
p
0. 0. 0
p
0 0 0
p
0 0 0
p
64.8 64.8 0
4.2 Remarks
The loading used here does not reveal of plasticization, whereas without viscosity, this same
loading leads the structure in elastoplastic mode.
Code_Aster
®
Version
6.0
Titrate:
SSNV200 - Tensile test shearing with the method
VISC_TAHERI
Date:
06/09/02
Author (S):
J.M. PROIX
Key
:
V6.04.200-A
Page:
6/6
Manual of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A
5
Summary of the results
This test of nonregression allows a minimal checking of the correct operation of the model
VISC_TAHERI
. It would ask to be supplemented by a test implementing a true solution of
reference.