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Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
1/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
Organization (S):
EDF-R & D/MMC, AMA, NECS
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
Document: V6.02.127
SSNL127 - Tensile test with the model
CORR_ACIER
Summary:
This test of nonlinear quasi-static mechanics makes it possible to validate the elastoplastic model
endommageable
CORR_ACIER
.
5 modelings make it possible to validate the behavior:
·
modelings A, B, C in 1D for the elements
BAR
,
POU_D_EM
,
POU_D_TGM
;
·
modeling D in 3D in the case of an axisymmetric test-tube (state of stresses and of
homogeneous deformation) subjected to a simple tensile test; modeling 3D of the test-tube is
realized with elements CU20;
·
modeling E in
COQUE_3D
in the case of a plate subjected to a simple traction, with one
net
QUAD9
.
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
2/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
1
Problem of reference
1.1 Geometry
The geometry is selected voluntarily simple, to translate a state of stresses and of
deformations homogeneous, as it is the case in uniaxial traction. In the case 1D and 3D, it acts here
of a bar of diameter
= 6 mm and length 100mm. In 3D, one net only one quarter of
bar. Traction is done with displacement imposed in 1D and 3D with the length of the test-tube. In
case
COQUE_3D
, the plate is square on side 100mm, and thickness
4
2
(so that the efforts are
identical to the case 1D).
1.2
Properties of material
Modulate
YOUNG
= 2.E11 AP
Poisson's ratio
= 0.33
Key word
CORR_ACIER
:
Coefficient of damage
D_CORR
= 0.2
Parameters of work hardening
ECRO_K
= 500 MPa
Elastic limit
ECRO_M
= 2.781
SY =
500. MPa
The degree of corrosion is given using the control
CREA_CHAM
:
NOM_CMP = “CORR” VALE = 0.0, 2.5, 13
(in percent)
1.3
Boundary conditions and loadings
Modeling 1D
Displacements DX DZ and DY locked at point A
Displacement DX and DZ imposed on the point B
Modeling 3D
Displacement DX prevented on Surf_int
Displacement DY prevented on Surf_1
Displacement DZ prevented on Surf_2
Displacement DX imposed on Surf_ext
Modeling COQUE_3D:
Displacement DX prevented on Li4
Displacement DY prevented on Li1
Displacement DX imposed on Li3
X
Surf_int
Surf_ext
Surf_1
Surf_2
Z
Y
3D
With
B
X
Y
1D
X
y
Li3
Li1
Li2
COQUE_3D
Code_Aster
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Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
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V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
1.4 Conditions
initial
Null stresses and deformations.
2
Reference solution
2.1
Method of calculation
The reference solution is consisted the results of the tensile tests carried out on bars
corroded (the initial diameter is 6 mm). Following these tests, one notes the reduction in
plastic deformation with rupture with increase in the degree of corrosion.
2.2
Results of reference
Evolution of the plastic deformation with rupture of the bars corroded according to the degree of
corrosion (the reduction of the diameter of bars or thickness of flat reinforcement compared to
those not corroded) is presented on [Figure 2.2-a] and it [Figure 2.2-b].
0
0.08
0.16
0.24
0
10
20
30
40
50
Rate of corrosion, %
D
E
for
m
has
T
ion pla
S
T
ic
with
R
upture
Appear 2.2-a: Influences corrosion on
behavior of steel according to the rate
of corrosion
Appear 2.2-b: the evolution of the deformation
plastic with rupture according to the rate of
corrosion
2.3
Uncertainties on the solution
Precision of the codes.
2.4 References
bibliographical
[1]
A.A. ALMUSALLAM: “Effect off off dismantles corrosion one the properties off reinforcing steel
bars ", Construction and Building Materials 15, 2001.
[2]
A. OUGLOVA, Y. BERTHAUD, I. PETRE-LAZAR: “Experimental Characterization of
corrosion of steels in the concrete on old analogues. First approach of
modeling ", HT-25/02/030/A, EDF, 2002.
13%
2.5%
17.5%
50%
22.4%
35%
2% 0%
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
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Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
3 Modeling
With
3.1
Characteristics of modeling
It is about an element
BAR
. Maximum displacement at the point B is of 0.021m, it is reached into 50
increments.
3.2
Characteristics of the mesh
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
3.3 Functionalities
tested
Controls
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
4
Results of modeling A
The efforts maximum (in NR) are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.019
21857.1
21857.1
0
2.5% of corrosion
0.0164
21451.6
21451.6
0
13% of corrosion
0.0075
19610.1
19610.1
0
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
21193.7
21193.7
0
2.5% of corrosion
0.018
20557.6
20557.6
0
13% of corrosion
0.008
18758.6
18758.6
0
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
5/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
5 Modeling
B
5.1
Characteristics of modeling
It is about an element
POU_D_EM
(beam multifibre). Maximum displacement at the point B is of
0.021m, it is reached in 50 increments.
5.2
Characteristics of the mesh
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
5.3 Functionalities
tested
Controls
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
6
Results of modeling B
The efforts maximum (in NR) are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.019
21857.1
21860
0.02
2.5% of corrosion
0.0164
21451.6
21455
0.02
13% of corrosion
0.0075
19610.1
19613
0.02
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
21193.7
21197
0.02
2.5% of corrosion
0.018
20557.6
20560
0.02
13% of corrosion
0.008
18758.6
18761
0.02
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
6/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
7 Modeling
C
7.1
Characteristics of modeling
It is about an element
POU_D_TGM
(beam multifibre). Maximum displacement at the point B is of
0.021m, it is reached in 50 increments.
7.2
Characteristics of the mesh
A number of nodes: 10
A number of meshs and type: 10 (SEG2)
7.3 Functionalities
tested
Controls
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
8
Results of modeling C
The efforts maximum (in NR) are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.019
21857.1
21860
0.02
2.5% of corrosion
0.0164
21451.6
21455
0.02
13% of corrosion
0.0075
19610.1
19613
0.02
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
21193.7
21197
0.02
2.5% of corrosion
0.018
20557.6
20560
0.02
13% of corrosion
0.008
18758.6
18761
0.02
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07668
0
The damage is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.0192
0.00229
0.00229
0
2.5% of corrosion
0.0164
0.01371
0.01371
0
13% of corrosion
0.0075
0.01188
0.01188
0
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
7/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
9 Modeling
D
9.1
Characteristics of modeling
It is about a modeling 3D.
9.2
Characteristics of the mesh
A number of nodes: 39
A number of meshs and type: 3 (HEXA20)
9.3 Functionalities
tested
Controls
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
10 Results of modeling D
The efforts maximum (in NR) are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.019
7.730 10
8
7.730
10
8
0
2.5% of corrosion
0.0164
7.588 10
8
7.588
10
8
0
13% of corrosion
0.0075
6.936 10
8
6.936
10
8
0
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
7.487 10
8
7.487
10
8
0
2.5% of corrosion
0.018
7.261 10
8
7.261
10
8
0
13% of corrosion
0.008
6.612 10
8
6.612
10
8
0
The cumulated equivalent plastic deformation maximum is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
0.19625
0.19625
0
2.5% of corrosion
0.018
0.17636
0.17636
0
13% of corrosion
0.008
0.07668
0.07669
0.02
The damage is worth:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.0192
0.00345
0.00345
0
2.5% of corrosion
0.0164
0.01505
0.01505
0
13% of corrosion
0.0075
0.015
0.015
0
X
Surf_int
Surf_ext
Surf_1
Surf_2
Z
Y
P1
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
8/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
11 Modeling
E
11.1 Characteristics of modeling
It is about a modeling
COQUE_3D
.
11.2 Characteristics of the mesh
A number of nodes: 9
A number of meshs and type: 1 (QUAD9)
11.3 Functionalities
tested
Controls
CREA_CHAM CORR
DEFI_MATERIAU CORR_ACIER
STAT_NON_LINE COMP_INCR RELATION
CORR_ACIER
12 Results of modeling E
The efforts maximum (in NR) are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.019
21857.1
22676
3.7
2.5% of corrosion
0.0164
21451.6
22798
6
13% of corrosion
0.0075
19610.1
20221
3
the efforts corresponding to maximum displacement at the point B are:
Identification Displacement
imposed (m)
Reference
Aster %
difference
0% of corrosion
0.02
21193.7
21534
2
2.5% of corrosion
0.018
20557.6
20749
1
13% of corrosion
0.008
18758.6
18813
0.3
X
y
Li3
Li1
Li2
COQUE_3D
Code_Aster
®
Version
8.1
Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
9/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
13 Summary of the results
For modelings A, B, C, D, E the results correspond well to those obtained
in experiments.
The curves effort-displacement obtained for the 3 rates of corrosion tested are as follows:
Code_Aster
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Version
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Titrate:
SSNL127 - Tensile test with the model
CORR_ACIER
Date:
01/09/05
Author (S):
I. PETRE-LAZAR, A. ASSIRE, L. DAVENNE
Key
:
V6.02.127-B
Page:
10/10
Manual of Validation
V6.02 booklet: Nonlinear statics of the linear structures
HT-66/05/005/A
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