109 – Traction test with the model VISC_CI [...] This

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Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
Date : 03/08/2011 Page : 1/6
Révision
Clé : V6.01.109
:
054678e2a3c0
SSNA109- Traction test with the model
VISC_CIN2_CHAB
Summary:
This test of nonlinear quasi-static mechanics enables to validate the model VISC_CIN2_CHAB in 2D in the
case of an axisymmetric test-tube (homogeneous stress and strain state) subjected to a simple traction test.
The characteristic of the test (the model VISC_CIN2_CHAB being tested in addition) comes from the
coefficients, which was identified on steel 10 CD 9−10 with 545° C , and for which the initial threshold of
plasticity is very weak.
The modelization of the test-tube is carried out with an element
2D (QUA4).
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
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Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
1
Reference problem
1.1
Geometry
Date : 03/08/2011 Page : 2/6
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Clé : V6.01.109
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054678e2a3c0
The geometry is selected voluntarily simple, to interpret a stress and strain state homogeneous, as it
is the case in uniaxial tension. It is here about an element of volume represented by a square on side
0.01mm . Modelization is axisymmetric, and traction is done with imposed strain.
1.2
Material properties
The caracteristics are:
Keyword ELAS :
YOUNG = 143006.0 MPa
NU = 0.33
Keyword CIN2_CHAB :
R0 = 0.01893467592 MPa
B = 0.2709891156
R_I = 0.04392231516 MPa
K = 2.751852265
W = −1.157794066
G1_0 = 211.5567568
G2_0 = 0.9105873193
C1_I = 3946.594428
C2_I = 49.33873423
A_I = 10.60515818
Keyword LEMAITRE
EXP_N = 14.97577311
ETA = 278.5754646
UN_SUR_K = 1/278.5754646
UN_SUR_M = 0.0
1.3
Boundary conditions and loadings
DY =0 on the lower side
DX =0 on the left side
DY imposed on the top, such as:
DY t= EPS final∗H /tmax∗t
With EPS final =0.01
H =0.01 mm
Tmax=10000s
This corresponds at a strain-rate imposed of
0.01/10000=1.E – 6/ s
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
1.4
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Date : 03/08/2011 Page : 3/6
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Initial conditions
Null stresses and strains.
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
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Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
2
Reference solution
2.1
Computation method
Date : 03/08/2011 Page : 4/6
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Clé : V6.01.109
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054678e2a3c0
Numerical solution computed by SIDOLO:
S ig m a M P a
1% en 1000s
180
160
140
120
100
80
60
40
20
0
0
2.2
2000
4000
6000
8000
10000
1 2 0 0 0 te m p s
Quantities and reference results
Evolution of the uniaxial component of the stresses according to the time (or of the strain which is
homothetic for him). This value is tested MPa  at various times:
Moment
100.2
1002
10000
2.3
Reference
14,315
112,471
155,233
Aster
14,329
111,903
155,084
% difference
0.01
-0.5
0.1
Uncertainties on the solution
Accuracy of the codes.
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
Version
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Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
3
Modelization A
3.1
Characteristics of modelization
Date : 03/08/2011 Page : 5/6
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Clé : V6.01.109
One uses 100 increments of identical quantities to compute the time interval (
3.2
:
054678e2a3c0
0, 10000s ).
Characteristics of the mesh
Number of nodes: 4
Number of meshes and types: 1 (QUAD4)
3.3
Quantities tested and results
Stresses
MPa  at various times:
Moment
100.2
1002
10000
3.4
Reference
14,315
112,471
155,233
Aster
14,329
111,903
155,084
% difference
0.01
- 0.5
0.1
Remarks
The noted variation is due to the discretization in time, which is relatively coarse. Computation from
reference (SIDOLO) is obtained with 500 increments.
By taking 500 increments, one obtains a maximum change of 0.06% .
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
Code_Aster
Titre : SSNA109 – Essai de traction avec le modèle VISC_CI[...]
Responsable : HABOUSSA David
4
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Date : 03/08/2011 Page : 6/6
Révision
Clé : V6.01.109
:
054678e2a3c0
Summary of results
Results obtained by Code_Aster are close to the reference solution since the variation with the reference
solution is lower than 0.5% . This variation is due to the discretization in time.
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)