Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
1/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
Organization (S):
EDF/IMA/MN
Manual of Validation
V9.01 booklet: Tire
Document: V9.01.102
SZLZ102 - Tire with various methods of
counting
Summary:
This test relates to the methods of countings of cycles (RAINFLOW, RCCM) starting from a history of
loading in stresses.
Starting from a simple history of loading defined by
DEFI_FONCTION
[U4.21.02], the cycles are extracted
elementary by the method of counting of cycles of the RAINFLOW [R7.04.01], then by the method of
counting of cycles RCCM [R7.04.01].
One also tests the taking into account of the coefficient of stress concentration K
T
.
This example is a test of validation of software POSTDAM developed by Department REME, provided in
the Manual of Validation of version 1.0 of this software.
Results provided by the operator
POST_FATIGUE
[U4.67.01] are completely identical to those provided by
software POSTDAM.
Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
2/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
1
Problem of reference
1.1 Geometry
The analysis consists in extracting the elementary cycles starting from a history from loading in
stresses.
·
First call to
POST_FATIGUE
:
One extracts the elementary cycles by the method of counting of cycles RAINFLOW, on
history of loading
1
(T).
·
Second call to
POST_FATIGUE
:
One extracts the elementary cycles by the method of counting of cycles RCCM, on the history of
loading
1
(T).
·
Third call to
POST_FATIGUE
:
One extracts the elementary cycles by the method of counting of cycles RAINFLOW, on
history of loading
2
(T) and one uses a coefficient of stress concentration K
T
= 2.
·
Fourth call to
POST_FATIGUE
:
One extracts the elementary cycles by the method of counting of cycles RCCM, on the history of
loading
2
(T) and one uses a coefficient of stress concentration K
T
= 2.
History of the loading
T
0.
1.
2.
3.
4.
5.
6.
7.
8.
1
(T)
0.
500.
200.
400.
300.
500.
- 300.
200.
- 500.
T
0.
1.
2.
3.
4.
5.
6.
7.
8.
2
(T)
0.
250.
100.
200.
150.
250.
- 150.
100.
- 250.
Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
3/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
2
Reference solution
2.1
Method of calculation used for the reference solution
This test results from the manual of validation of software POSTDAM version 1.0. Reference solutions
are given in this document.
2.2
Results of reference
·
First call to
POST_FATIGUE
: method RAINFLOW from
1
(T)
Nb_Cycl = 4
Cycle 1
Vale_Min:
300.
Vale_Max:
400.
Cycle 2
Vale_Min:
200.
Vale_Max:
500.
Cycle 3
Vale_Min:
300.
Vale_Max:
200.
Cycle 4
Vale_Min:
500.
Vale_Max:
500.
·
Second call to
POST_FATIGUE
: method RCCM from
1
(T)
Nb_Cycl = 5
Cycle 1
Vale_Min:
500.
Vale_Max:
500.
Cycle 2
Vale_Min:
300.
Vale_Max:
500.
Cycle 3
Vale_Min:
0.
Vale_Max:
400.
Cycle 4
Vale_Min:
200.
Vale_Max:
300.
Cycle 5
Vale_Min:
88.8889
Vale_Max:
200.
·
Third call to
POST_FATIGUE
: method RAINFLOW from
2
(T) with K
T
=2.
(Results identical to the first call to
POST_FATIGUE
since a loading is taken
2
(T) =
1/2
1
(T), then one multiplies the history of loading by a coefficient of concentration of
stresses K
T
= 2.).
Nb_Cycl = 4
Cycle 1
Vale_Min:
300.
Vale_Max:
400.
Cycle 2
Vale_Min:
200.
Vale_Max:
500.
Cycle 3
Vale_Min:
300.
Vale_Max:
200.
Cycle 4
Vale_Min:
500.
Vale_Max:
500.
·
Fourth call to
POST_FATIGUE
: method RCCM from
2
(T) with K
T
=2.
(Results identical to the second call to
POST_FATIGUE
since a loading is taken
2
(T) = 1/2
1
(T), then one multiplies the history of loading by a coefficient of concentration of
stresses K
T
= 2.).
Nb_Cycl = 5
Cycle 1
Vale_Min:
500.
Vale_Max:
500.
Cycle 2
Vale_Min:
300.
Vale_Max:
500.
Cycle 3
Vale_Min:
0.
Vale_Max:
400.
Cycle 4
Vale_Min:
200.
Vale_Max:
300.
Cycle 5
Vale_Min:
88.8889
Vale_Max:
200.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
Manual of validation of POSTDAM version 1.0. Baker I., Vatin E. HP-14/93/016B
Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
4/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
3 Modeling
With
3.1 Functionalities
tested
Order
POST_FATIGUE
[U4.67.01]
Key word
Operands
HISTORY
SIGM:
COUNTING:
“RCCM”
“RAINFLOW”
COEF_MULT
KT:
INFORMATION:
1
Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
5/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
First call to
POST_FATIGUE
and Third call to
POST_FATIGUE
NB_CYCL
4.
4.
0.
Cycle 1 VALE_MIN
300.
300.
0.
VALE_MAX
400.
400.
0.
Cycle 2 VALE_MIN
200.
200.
0.
VALE_MAX
500.
500.
0.
Cycle 3 VALE_MIN
- 300.
- 300.
0.
VALE_MAX
200.
200.
0.
Cycle 4 VALE_MIN
- 500.
- 500.
0.
VALE_MAX
500.
500.
0.
Second call to
POST_FATIGUE
and Fourth call to
POST_FATIGUE
NB_CYCL
5.
5.
0.
Cycle 1 VALE_MIN
- 500.
- 500.
0.
VALE_MAX
500.
500.
0.
Cycle 1 VALE_MIN
- 300.
- 300.
0.
VALE_MAX
500.
500.
0.
Cycle 1 VALE_MIN
0.
0.
0.
VALE_MAX
400.
400.
0.
Cycle 1 VALE_MIN
200.
200.
0.
VALE_MAX
300.
300.
0.
Cycle 1 VALE_MIN
88.8889
88.8889
0.
VALE_MAX
200.
200.
0.
4.2 Parameters
of execution
Version: 3.06.18
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
2.2582 seconds
Code_Aster
®
Version
4.0
Titrate:
SZLZ102 Tires with various methods of counting
Date:
19/01/98
Author (S):
A. Mr. DONORE
Key:
V9.01.102-A
Page:
6/6
Manual of Validation
V9.01 booklet: Tire
HI-75/96/038 - Ind A
5
Summary of the results
Results of
Code_Aster
are identical to the values of reference provided in the manual of
validation of version 1.0 of POSTDAM.