Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
1/6

Organization (S): EDF/AMA

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
Document: V6.04.200

SSNV200 - Essai of tensile shearing
with 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.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
2/6

1
Problem of reference

1.1 Geometry

y
Face YZ: (1, 3, 5, 7)
1
2

Face XZ: (3, 4, 7, 8)

Face 1YZ: (2, 4, 6, 8)
5
6

Face 1XZ: (1, 2, 5, 6)
(T) O
Face 1

X Z
3
4
(T) imposed shearing
(T)
O

O
Face 1

Y Z
X
(T) imposed pressure
O
Face YZ
(T)
function of effort
7
8
Z


1.2
Material properties

isotropic elasticity
E = 200.000 MPa
= 0,3


plasticity Said Taheri Cinf = 0.065 MPa C1 = - 0.012 Mpa
S = 450
B = 30

m = 0.1
has = 312
= 0.3
Ro = 72
Viscosity:
N=11
UN_SUR_K = 3.28410E-04 UN_SUR_M = 0.17857
LEMAITRE

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.
T (S)
0.
1.


1.4 Conditions
initial

Null constraints and deformations with T = 0.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
3/6

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

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

Modeling 3D:

Cubic elementary with a grid using a hexahedron with 8 nodes.

F
y
22 NR
F
1
2
F
T
F
1s
5
F
6
2F
3
has
X
4
F
2F
7
8
F
Z


3.2
Characteristics of the grid

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
MATRICE
“TANGENTE”

Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
5/6

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

0. 0. 0
p

0 0 0
p
p
0 0 0

64.8 64.8 0
p

4.2 Remarks

The loading used here does not reveal of plasticization, whereas without viscosity, this same
loading leads the structure in elastoplastic mode.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
6.0
Titrate:
SSNV200 - Essai of tensile shearing with method VISC_TAHERI Date:
06/09/02
Author (S):
Key J.M. PROIX
:
V6.04.200-A Page:
6/6

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.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HT-66/02/001/A

Outline document