Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
1/8
Organization (S): EDF/RNE/MTC
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
V6.04.118 document
SSNV118 - Essai of tensile shearing
with the viscoplastic model of Chaboche
Summary:
Nonlinear quasi static problem of mechanics of the structures in transient.
Analyze response of an element of volume to a loading of traction-shearing which imposes a state of
uniform stress-strain.
On an identical problem, one carries out two modelings to test the taking into account of the parameters
constant or depend on the temperature and integration with a tangent or elastic matrix.
This test validates the numerical integration of the model of behavior elastoviscoplastic of fascinating Chaboche
in account the phenomenon of memorizing of work hardening.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
2/8
1
Problem of reference
1.1 Geometry
Z, dz
D
5
8
7
Face YZ: (1, 4, 5, 8)
6
Face XZ: (1, 2, 5, 6)
D
D
Face 1YZ: (2, 3, 6, 7)
Face 1XZ: (4, 3, 8, 7)
D
D
1
4
y, Dy
D: imposed pressure
D: imposed shearing
3
2
X, dx
1.2
Material properties
Isotropic elasticity E = 145.000 MPa = 0.3
Model viscoplasticity VISCOCHAB
K
35 MPa
B
12
ETA
0.04
C2
65000 MPa
A_K
1.
M_R
2
C1
1950 MPa
M_2
4
A_R
0.65
G_R
2107
M_1
4
D2
0.552 101
K_0
70 MPa S1/NR
DRIVEN
19
D1
0.397 103
G_X2
1. 1012
MPam1 S1
NR
24
Q_M
460
G_X1
2. 1013
G2_0
1300 MPa
MPam1 S1
ALP
0 MPa
Q_0
40 MPa
G1_0
50 MPa
A_I
0.5
QR_0
200 MPa
1.3
Boundary conditions and loadings
N6
dx = Dy = dz = 0
Face XZ: FX = D/4
N7
dx = Dy = 0
Face YZ: FY = D/4, FX = D/4
N2, N3
Dy = 0
Face 1XZ: FX = D/4
Face 1YZ: FY = D/4, FZ = D/4
1.4 Conditions
initial
Null constraints and deformations with T = 0.
D
P
0
D
D (T) and D (T) linear, the point P being reached into 10 S with D (10) = 150 MPa and D (10) = 60 MPa
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
3/8
2
Reference solution
2.1
Method of calculation used for the reference solution
One uses to establish the reference solution the software SIDOLO which allows simulation and
identification of laws of behavior.
The equations of the model are written by the user in FORTRAN in the form of a system of equations
first order differentials, solved by a method of Runge Kutta of command 4 with adaptive step.
2.2
Results of reference
xx, xy, xx, xy, X1xx, X 2xx, p, R, Q, xx at the moment P (T = 10 S) or X1et X 2 are the variables
of kinematic work hardening, p cumulated plastic deformation, R (p, Q) the variable of work hardening
isotropic and the internal variable allowing the taking into account of the memory of work hardening.
2.3
Uncertainty on the solution
Uncertainty of SIDOLO.
2.4 References
bibliographical
[1]
SIDOLO, version 2.3, Notice of use, École nationale supérieure of Mines of Paris,
Center of Matériaux, September 1995.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
4/8
3 Modeling
With
3.1
Characteristics of modeling
Modeling 3D
Z
5
8
7
6
1
4
y
3
2
X
3.2
Characteristics of the grid
1 HEXA8
3.3 Functionalities
tested
Order
Key word factor
Simple key word
Argument
Keys
DEFI_MATERIAU
VISCOCHAB
[U4.23.01]
STAT_NON_LINE
COMP_INCR
RELATION
“VISCOCHAB”
[U4.32.01]
NEWTON
MATRICE
“TANGENTE”
NEWTON
ITER_LINE_MAXI
5
CONVERGENCE
ITER_INTE_PAS
10
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
5/8
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
xx
150
149.991
0.006
xy
60
59.949
0.009
xx
1.49455 E2
1.50735 E2
0.856
xy
0.888452 E2
0.896134 E2
0.865
X xx
1
12.4955
12.4880
0.060
X 2xx
30.0352
30.0546
0.065
p
1.69335 E2
1.70435 E2
0.709
R
8.36836
8.43440
0.789
Q
6.76633 E4
6.81646 E4
0.741
1.33485 E2
1.34492 E2
0.754
xx
4.2 Remarks
One uses only 11 increments of time in Aster, but the step of time is redécoupé by 10
for the local integration of the equations of the model.
SIDOLO uses several hundreds of step of times, calculated automatically.
4.3 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System:
UNICOS
Obstruction memory:
8 MW
Time CPU To use:
68.8 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
6/8
5 Modeling
B
5.1
Characteristics of modeling
Modeling 3D
Z
5
8
7
6
1
4
y
3
2
X
5.2
Characteristics of the grid
1 HEXA8
5.3 Functionalities
tested
Order
Key word factor
Simple key word
Argument
Keys
DEFI_MATERIAU
VISCOCHAB_FO
[U4.23.01]
STAT_NON_LINE
COMP_INCR
RELATION
“VISCOCHAB_FO”
[U4.32.01]
NEWTON
MATRICE
“ELASTIQUE”
NEWTON
ITER_LINE_MAXI
5
CONVERGENCE
ITER_INTE_PAS
15
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
7/8
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
xx
150
149.899
0.067
xy
60
59.969
0.052
xx
1.49455 E2
1.50922 E2
0.982
xy
0.888452 E2
0.897261 E2
0.991
X xx
1
12.4955
12.4831
0.100
X 2xx
30.0352
30.0459
0.035
p
1.69335 E2
1.69886 E2
0.385
R
8.36836
8.40477
0.435
Q
6.76633 E4
6.79380 E4
0.406
1.33485 E2
1.34060 E2
0.431
xx
6.2 Remarks
The precision of the results is of the same command as for modeling A with a tangent matrix
rubber band and a smaller recutting of the step of time for the local integration of the equations of
model.
6.3 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System:
UNICOS
Obstruction memory:
8 MW
Time CPU To use:
94.5 seconds
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A
Code_Aster ®
Version
3
Titrate:
SSNV118 Essai of tensile shearing - Chaboche viscoplastic
Date:
21/07/99
Author (S):
P. GEYER
Key:
V6.04.118-A Page:
8/8
7
Summary of the results
The equations of the model being strongly nonlinear, it is necessary to use increments of
small times to obtain a precise solution.
On this test presenting a geometry and boundary conditions simple, the recutting of the step of
time at the local level makes it possible to improve the precision of the results without increasing the time too much of
calculation.
Handbook of Validation
V6.04 booklet: Nonlinear statics of the voluminal structures
HI-75/96/044 - Ind A