Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
1/22
Organization (S): EDF-R & D/AMA, CS IF
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
Document: U4.83.11
Operator POST_RCCM
1 Goal
To check criteria of the RCC-M (Edition 1991). They are in particular the criteria of level 0 and
certain criteria of level A of the §B3200, and the criteria of fatigue of the §B3600.
The criteria of level 0 aim at securing the hardware against the damage of excessive deformation,
of plastic instability and elastic and elastoplastic instability. These criteria require the calculation of
equivalent constraints of Pm membrane, local membrane Pl and membrane plus inflection
Pm+Pb.
The criteria of level A aim at securing the hardware against the damage of deformation
progressive and of fatigue. Except fatigue, they require the calculation of the amplitude of variation of constraint
linearized, noted Sn, and possibly of the quantity Sn *. For fatigue, they require in more it
calculation of the amplitude of variation of constraint in a point, noted Sp.
Command POST_RCCM carries out calculations of Pm, Pm+Pb, Sn, Sn *, Sp, of the number of cycles
acceptable and of the factor of use in fatigue. In input, it is necessary to specify is the computation result
thermomechanical on a line of piping (TYPE_RESU_MECA=' TUYAUTERIE'), that is to say tables
constraints on a segment of analysis built afterwards of thermomechanical calculations 2D or 3D
(TYPE_RESU_MECA=' EVOLUTION'), that is to say tables of constraints on a segment of analysis
correspondent with unit loadings and the associated torques of loading
(TYPE_RESU_MECA=' UNITAIRE').
Product a structure of data of the type counts.
Before a first use, it is advised to refer to the consulting and reference documents,
in particular the document [U2.09.03].
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
2/22
2 Syntax
TABL_POST_RCCM = POST_RCCM (
TYPE_RESU
=
/
“VALE_MAX”,
[DEFAUT]
/
“DETAILS”,
INFO
/1
,
[DEFAUT]
/2,
TITER
=
titrate,
[KN]
TYPE_RESU_MECA
=
/
“EVOLUTION”,
[DEFAUT]
/“UNITAIRE”,
/“TUYAUTERIE”,
/TYPE_RESU_MECA = “EVOLUTION”
OPTION =/ |
“SN”,
| “PM_PB”,
| “FATIGUE_ZH210”,
MATER = chechmate, [to subdue]
TRANSITOIRE=_F (
TABL_RESU_MECA
=
tabmeca,
/
[table]
TABL_SIGM_THER = tabth
,
/
[table]
NB_OCCUR
=
/
nocc,
[I]
/
1,
[DEFAUT]
/TOUT_ORDRE = “YES”,
/
NUME_ORDRE =
lordre
,
[l_I]
/
LIST_ORDRE =
lordre
,
[listIs]
/
INST =
linst
,
[l_R]
/
LIST_INST
=
linst
,
[listr8]
| PRECISION
=
/
prec,
[R]
/
1.D-06
,
[DEFAUT]
| CRITERE =
/
“RELATIVE”, [DEFECT]
/
“ABSOLU”
,
)
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
3/22
/TYPE_RESU_MECA = “UNIT”
OPTION =/ |
“SN”,
| “PM_PB”,
| “FATIGUE”,
MATER = chechmate, [to subdue]
TYPE_KE =
/
“KE_MECA”,
[Defect]
/
“KE_MIXTE”
CHAR_MECA
=_F
(
NUME_CHAR
=
numchar,
[I]
NOM_CHAR
=
nomchar,
[KN]
TYPE_CHAR
=
/
“SEISME”,
[KN]
/
typechar,
[KN]
MX
=
MX
,
[R]
MY
=
my
,
[R]
MZ
=
mz
,
[R]
FX
=
fx
,
[R]
FY
=
fy
,
[R]
FZ
=
fz
,
[R]
)
RESU_MECA_UNIT=_F (
TABL_MX =
tabsigmx
,
[tabl]
TABL_MX =
tabsigmy
,
[tabl]
TABL_MX =
tabsigmz
,
[tabl]
TABL_FX = tabsigfx
,
[tabl]
TABL_FY = tabsigfy
,
[tabl]
TABL_FZ = tabsigfz
,
[tabl]
TABL_PRES
=
tabsigpr
,
[tabl]
)
RESU_THER=_F (
NUME_RESU_THER
=
numtran,
[I]
TABL_RESU_THER
=
count,
[tabl])
SITUATION=_F (
NUME_SITU
=
numsitu,
[I]
NOM_SITU
=
nomsitu,
[KN]
NB_OCCUR
=
nbocc,
[I]
NB_CYCL_SEISME = nbsss,
[I]
NUME_GROUPE
=
numgroup
[I]
NUME_PASSAGE
=
(num1,
num2)
[L_I]
COMBINABLE =/“YES”, [DEFECT]
/“NOT”, [kN]
PRES_A
=
pressed
,
[R]
PRES_B
=
pressb
,
[R]
TEMP_REF_A = tempa,
[R]
TEMP_REF_B = tempb,
[R]
CHAR_ETAT_A = (list_num_char_meca), [L_I]
CHAR_ETAT_B = (list_num_char_meca), [L_I]
NUME_RESU_THER = list_num_tran
,
[L_I]
)
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
4/22
/TYPE_RESU_MECA = “PIPING”
OPTION
=/“FATIGUE”,
MODELE
=
model
,
[model]
ZONE_ANALYZE=_F (
/
TOUT
=
“OUI”,
[DEFAUT]
/
GROUP_MA =
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
CARA_ELEM
=
will cara,
[cara_elem]
TYPE_KE =
/
“KE_MECA”,
[Defect]
/
“KE_MIXTE”
CHAM_MATER=
chmat,
[cham_mater]
RESU_MECA=_F (
NUME_CHAR
=
numchar,
[I]
NOM_CHAR
=
nomchar,
[KN]
TYPE_CHAR
=
/
“SEISME”,
[KN]
/
“AUTRE”
,
[DEFAUT]
/
RESULTAT
=
resu,
/
[evol_elas]
/
[evol_noli]
/TOUT_ORDRE
= “OUI”,
/
NUME_ORDRE =
lordre
,
[l_I]
/
LIST_ORDRE =
lordre
,
[listIs]
/
INST =
linst
,
[l_R]
/
NOEUD_CMP
=
lnoecmp,
[l_K16]
/
LIST_INST
=
linst
,
[listr8]
| PRECISION
=
/
prec,
[R]
/
1.D-06
,
[DEFAUT]
| CRITERION =/“RELATIVE”, [DEFECT]
/
“ABSOLU”
,
NOM_CHAM =/“EFGE_ELNO_DEPL”,
/
“SIEF_ELNO_ELGA”,
/
CHAM_GD =
cham_effo, [cham_elem]
)
INDI_SIGM=_F (
C1
=
/
1.,
[DEFAUT]
/
c1,
[R]
C2
=
/
1.,
[DEFAUT]
/
c2,
[R]
C3
=
/
0.5,
[DEFAUT]
/
c3,
[R]
K1
=
/
1.,
[DEFAUT]
/
k1,
[R]
K2
=
/
1.,
[DEFAUT]
/
k2,
[R]
K3
=
/
1.,
[DEFAUT]
/
k3,
[R]
/
TOUT
=
“OUI”,
[DEFAUT]
/
GROUP_MA =
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
/
GROUP_NO =
gno1,
[groupno]
/
NOEUD =
no1
,
[node]
TYPE_ELEM_STANDARD
=
/
“DRO”,
[KN]
/
“COU”,
[KN]
/
“TRN”,
[KN]
/
“TEE”,
[KN]
)
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
5/22
RESU_THER=_F (
NUME_RESU_THER
=
numtran,
[I]
TABL_RESU_THER
=
count,
[tabl_post_releve]
TABL_MOYE_THER
=
count,
[tabl_post_releve]
/
TOUT
=
“OUI”,
[DEFAUT]
/
GROUP_MA =
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
/
GROUP_NO =
gno1,
[groupno]
/NOEUD
= no1,
[node]
)
SITUATION=_F (
NUME_SITU
=
numsitu,
[I]
NOM_SITU
=
nomsitu,
[KN]
NB_OCCUR
=
nbocc,
[I]
NB_CYCL_SEISME = nbsss,
[I]
NUME_GROUPE
=
numgroup,
[I]
NUME_PASSAGE
= (num1,
num2,)
[L_I]
COMBINABLE =/“YES”, [DEFECT]
/“NOT”, [kN]
PRES_A
=
pressed
,
[R]
PRES_B
=
pressb
,
[R]
TEMP_REF_A = tempa,
[R]
TEMP_REF_B = tempb,
[R]
CHAR_ETAT_A = (list_num_char_meca), [L_I]
CHAR_ETAT_B = (list_num_char_meca), [L_I]
NUME_RESU_THER = list_num_tran
,
[L_I]
)
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
6/22
3
Operands commun runs with all the options
3.1 Operand
TYPE_RESU
TYPE_RESU =/“VALE_MAX”,
/
“DETAILS”,
Type of values contained in the table produced in result:
·
VALE_MAX: only the maximum values are given;
·
DETAILS: the computed values at every moment are provided.
3.2 Operand
TITER
TITER = title
Character string describing the title of the table of values created, which appears with the impression of
this table by IMPR_TABLE [U4.91.03].
3.3 Operand
INFO
INFO =/1
/2
Allows a display more or less detailed in the file message.
3.4
Types of results: key word TYPE_RESU_MECA
Three types of results are manageable by POST_RCCM:
· Results of the evolution type of transient/“EVOLUTION”
· Results of the unit type with combination of situations/“UNITAIRE”
· Results of the piping type for the application of the RCCM on the lines of piping
/“TUYAUTERIE”,
Five types of criteria are accessible each one by an option (key word OPTION):
·
on a segment, starting from tables of constraints extracted from one or more concepts
results obtained by a total command (MECA_STATIQUE, STAT_NON_LINE) on one
modeling 2D or 3D (results of the type “UNITAIRE” or “EVOLUTION”):
-
criteria of level 0 by option PM_PB,
-
criteria of level A (except fatigue) by the option SN,
- criteria of fatigue (of level A) by option FATIGUE_ZH210 for the results of
type “EVOLUTION” or by option FATIGUE for the results of the type “UNITAIRE”.
These options can be called only or simultaneously.
·
From several mechanical computation results (MECA_STATIQUE, STAT_NON_LINE,
COMB_SISM_MODAL) on a line of piping, and complementary data, one can
to calculate criteria of fatigue by option FATIGUE.
3.5 Count
produced
Command POST_RCCM generates a concept of the type counts. Command IMPR_TABLE [U4.91.03]
allows to print the contents of the table. For more information, one will be able to refer to the document
[U2.09.03].
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
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4
Operands specific to the results of the type TRANSITOIRE
For a precise description of the calculations carried out by these options, one can consult the document
[R7.04.03], the note of use [U2.09.03] and notes it [bib2].
One points out however here briefly the definition of the calculated quantities. These options are not
available that for the elements of continuous medium 2D and 3D.
In the three cases, the characteristics of materials necessary to the calculation of the criteria are to be defined
by command DEFI_MATERIAU [U4.43.01]. The computed values and the values limit are
stored in the table tabl_post_rccm, which one prints using command IMPR_TABLE
[U4.91.03].
The analysis is done on a segment, starting from tables of constraints extracted from one or more concepts
results obtained by a total command (MECA_STATIQUE, STAT_NON_LINE) on one
modeling 2D or 3D. The tables of constraints can be created by the command
POST_RELEVE_T. The possible options of calculation are:
· criteria of level 0 by option PM_PB;
· criteria of level A (except fatigue) by the option SN;
· criteria of fatigue (also of level A) by option FATIGUE_ZH210 (the old one
option FATIGUE_SPMAX can be simulated easily by FATIGUE_ZH210, to see case-test
RCCM06a).
These options can be called only or simultaneously.
4.1.1 Operand
MATER
MATER = chechmate
It is the material containing the characteristics useful to POST_RCCM and definite under the key word
RCCM of DEFI_MATERIAU [U4.43.01].
Notice on the curves of fatigue:
For the small amplitudes of constraints, the problem of the prolongation of the curve of
fatigue can be posed: for example, for the curves of fatigue of the RCCM beyond 106
cycles, the corresponding constraint, 180 MPa is regarded as limit of endurance,
i.e. that very forced lower than 180 MPa must produce a factor of null use, or
an infinite number of cycles acceptable.
The method adopted here corresponds to this concept of limit of endurance: if the amplitude of
constraint is lower than the first X-coordinate of the curve of fatigue, then one takes one
factor of null use.
4.1.2 Option
PM_PB
Option allowing to calculate the criteria of level 0 which aim at securing the hardware against
damage of excessive deformation, plastic instability and elastic and elastoplastic instability.
These criteria require the calculation of the equivalent constraints of Pm membrane, of membrane
local Pl, of inflection Pb and membrane plus Pm inflection + Pb.
The operands necessary are MATER, the table of constraints TABL_RESU_MECA (built by
example by POST_RELEVE_T after mechanical calculation on the place of postprocessing) and
possibly the table of constraints TABL_SIGM_THER built starting from a calculation with
thermal loading only.
The points of calculation are the two ends of the segment of analysis. If several segments of extraction
were used to define the same table of constraints, calculation is done successively for each one
of them.
The values limit are Sm and 1.5 Sm, Sm being working stress function of material and of
temperature, given by the key word SM of key word RCCM in DEFI_MATERIAU [U4.43.01].
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
8/22
Note:
· The calculation of PM and PMPB is only done starting from the primary constraints, therefore out
constraints of thermal origin. If TABL_SIGM_THER is indicated, it is supposed that it
result indicated in TABL_RESU_MECA corresponds to a thermomechanical calculation and one
he thus withdraws the thermal stresses. If only TABL_RESU_MECA is indicated, it
calculation is done directly starting from the constraints indicated in the table.
· The calculation of PM and PMPB following the criteria of the RCCM G3000 is possible for
elements of beam POU_D_E and POU_D_T, using operator CALC_ELEM [U4.81.01]
(options “PMPB_ELGA_SIEF” and “PMPB_ELNO_SIEF”).
4.1.3 Option
SN
Option allowing to calculate the criteria of level A (except fatigue) which aim at securing the hardware
against the damage of progressive deformation. They require the calculation of the amplitude of variation
of constraint linearized in a point, noted Sn.
If the user asks it (presence of operand RESU_SIGM_THER) one also the calculation carries out of
Sn *. The points of calculation are the two ends of the segment.
The operands necessary are MATER and the table of constraints TABL_RESU_MECA (built by
example by POST_RELEVE_T after mechanical calculation on the place of postprocessing) to inform
in key word TRANSITOIRE. The Sn calculation * is carried out if a table of the thermal stresses
TABL_SIGM_THER is provided.
The points of calculation are the two ends of the segment of analysis. If several segments of extraction
were used to define the same table of constraints, calculation is done successively for each one
of them.
The limiting Sn value is 3 Sm, Sm being working stress function of material and of
temperature, given by the key word SM of the key word factor RCCM in DEFI_MATERIAU [U4.43.01].
Note:
Key word TABL_RESU_MECA can be repeated several times under only one key word
TRANSITOIRE. For the calculation of SN and SN *, there will be however no combination between
situations thus defined: each table of constraints will be treated successively.
4.1.3.1 Sn calculation *
If operand TABL_SIGM_THER of the key word factor TRANSITOIRE is present, one carries out also it
Sn calculation *.
It is necessary, so that calculation is coherent and in conformity with the RCC-M, that constraints provided in
TABL_SIGM_THER were obtained with a thermal loading only, knowing that the result
given by TABL_RESU_MECA can be due to a combination of this thermal loading with
other loadings. It is necessary thus that the moments of table TABL_SIGM_THER correspond to
those of table TABL_RESU_MECA.
4.1.4 Option
FATIGUE_ZH210
Option allowing to calculate the factor of use resulting from the combination of one or more
transients, according to the method of additional RCC-M ZH210.
The amplitude of variation of constraint in each end of the segment of analysis is calculated to leave
tables of constraints TABL_RESU_MECA, for each combination of moments belonging to (X)
transient (S) definite (S) by the user. Then one applies a method of combination and office plurality for
to obtain the factor of total use, cf [U2.09.03].
The moments corresponding to the extreme states must be specified by the user by the operands
NUME_ORDRE, INST or LIST_INST.
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
9/22
Note:
Key word TABL_RESU_MECA can be repeated several times under only one key word
TRANSITOIRE. For the fatigue analysis, the results contained in each table of
constraints will be combined between them.
4.2 Word
key
TRANSITOIRE
This key word factor makes it possible to define it (or them) transitory (S) to study.
4.2.1 Operand
INTITULE
Allows to give a name to the transient. This name will be displayed in the produced table.
4.2.2 Operand
TABL_RESU_MECA
TABL_RESU_MECA = tabmeca
Count of the constraints on the segment of analysis, built for example by POST_RELEVE_T with
to start from mechanical results of evol_elas type and evol_noli.
4.2.3 Operand
TABL_SIGM_THER
TABL_SIGM_THER = tabth
Count of the constraints on the segment of analysis, built for example by POST_RELEVE_T on one
result obtained with a thermal loading only. This key word allows in particular the calculation of Sn *
[§4.1.3.1].
4.2.4 Operand
NB_OCCUR
NB_OCCUR =/nocc, [DEFAUT]
/
1,
A number of occurrences for the calculation of the factor of use.
4.2.5 Operands TOUT_ORDRE/NUME_ORDRE/LIST_ORDRE/INST/LIST_INST/
PRECISION/CRITERION
TOUT_ORDRE, NUME_ORDRE, LIST_ORDRE, INST, LIST_INST
These key words allow the selection of the sequence numbers corresponding to the gathered fields
in the tables of constraints tabmeca (and tabth possibly) under the reference symbols
previously specified. The sequence numbers are given either directly (key words
TOUT_ORDRE, NUME_ORDRE, LIST_ORDRE), are indirectly by lists of values of theirs
variables of access (key words INST, LIST_INST).
PRECISION,
CRITERE
Key words (optional) defining the precision (1.D-6 by defect) and the search key
(RELATIF by defect) of a sequence number starting from a value of moment.
4.3 Phase
of execution
If RESU_SIGM_THER is present, it is checked that the moments of calculation of the table tabth are
identical to those of the table tabmeca. On the other hand, one cannot check only the transients
thermics which contributed to the mechanical results tabth and tabmeca are identical. It is with
the user to ensure coherence (including on the data materials).
Handbook of Utilization
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HT-62/06/004/A
Code_Aster ®
Version
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Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
10/22
4.4 Example
of use
An example of use of operator POST_RCCM with results of the type EVOLUTION can be
found in the case test RCCM01.
A calculation of the criteria of the RCCM proceeds in the following way:
· definition of the parameters of material and the curve of fatigue,
· definitions of the mechanical and thermal loadings,
· linear thermomechanical calculation or not linear,
· (if SN calculation *) mechanical calculation with thermal loading only,
· definition of the segment of analysis and extraction of the results with POST_RELEVE_T or
MACR_LIGN_COUPE,
then (possibly in continuation):
SN1=POST_RCCM (MATER=MAT,
TYPE_RESU=' VALE_MAX',
TYPE_RESU_MECA=' EVOLUTION',
OPTION=' SN',
TITER=' SN, RESULT: RESU2b WITH RESUTH',
TRANSITOIRE=_F (TABL_RESU_MECA = T_RESU2b,
TABL_SIGM_THER = T_RESUTHb,)
)
IMPR_TABLE (TABLE = SN1)
For more information, one will be able to refer to the document [U2.09.03].
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
11/22
5
Operands specific to the results of the type TUYAUTERIE
From several mechanical computation results (MECA_STATIQUE, STAT_NON_LINE,
COMB_SISM_MODAL) on a line of piping, and data complementary. One calculates
criteria of fatigue by option FATIGUE.
5.1 Opening remarks concerning the stages preliminary to it
postprocessing
The data necessary to postprocessing are summarized here (and detailed with the § according to):
·
Geometry of the line of piping.
·
The material field: it is the card of materials assigned to the groups of meshs of
grid by AFFE_MATERIAU for which it is necessary to add the curve of fatigue, E_REFE, M_KE and
N_KE (key words RCCM).
·
AFFE_CARA_ELEM makes it possible to affect the elementary characteristics.
·
Indices of constraints (in each node of the grid).
·
The scenario of operation containing the list of the situations:
-
For each situation:
-
Numbers of occurrences of each situation (thus of each stabilized state).
-
Pressure and average temperature of each stabilized state.
-
List mechanical loadings of each stabilized state.
-
The group of membership of the situation.
-
The associated thermal transient.
·
Results of calculations for each mechanical loading (including the seism), located
by its number, with for information the name of the loading case: field by elements with the nodes
generalized efforts, for each loading (EFGE_ELNO_DEPL, or SIEF_ELNO_ELGA).
·
For each node, a reference to a definite thermal result below.
·
Results of thermal calculations: calculations EFF 2D or 3D which give these infos depend
at the same time of the geometry and the transient. There is thus a thermal calculation by type of junction,
and by type of transient. In practice one carries out two POST_RELEVE_T per transient and by
different type of thickness or geometry: a POST_RELEVE_T with option EXTRACTION,
and a second with option MOYENNE
Preliminary calculations to carry out are thus:
·
Calculations of the type beam (elastic design) for each loading (one is only useful oneself
moments, expressed in a local reference mark with each element, locates presumedly identical
for all the results) composing each of the two stabilized states of each situation.
·
A seismic calculation (inertial answer and displacements of anchoring) (only one type of seism
taken into account).
·
The calculation of each thermal transient, in as many grids 2D or 3D there is
different thicknesses or components.
The operands and key words of option FATIGUE were selected in order to allow a use
later in link with tool OAR. They are thus inspired by the specifications of the data base
OAR [bib3].
5.2 Operand
CHAM_MATER
CHAM_MATER = chmat
It is the material field containing, for all the meshs of the model, the characteristics
material useful to FATIGUE and definite under key words ELAS_FO, FATIGUE and RCCM of
DEFI_MATERIAU [U4.43.01] (E, NAKED, ALPHA, WOHLER, E_REFE, M_KE, N_KE, SM).
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Date
:
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:
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Notice on the curves of fatigue:
For the small amplitudes of constraints, the problem of the prolongation of the curve of
fatigue can be posed: for example, for the curves of fatigue of the RCCM beyond 106
cycles, the corresponding constraint, 180 MPa is regarded as limit of endurance,
i.e. that very forced lower than 180 MPa must produce a factor of null use, or
an infinite number of cycles acceptable.
The method adopted here corresponds to this concept of limit of endurance: if the amplitude of
constraint is lower than the first X-coordinate of the curve of fatigue, then one takes one
factor of null use.
5.3 Operand
CARA_ELEM
CARA_ELEM
= will cara
It is the field of characteristics of the elements of beams (external radius and thickness, angle and
radius of curvature of the elbows) defined by AFFE_CARA_ELEM.
5.4 Operand
MODELE
MODELE
= model
It is the model (finite element of beam) on which were carried out calculations of the loadings
mechanics.
5.5 Operand
TYPE_KE
TYPE_KE =
/
“KE_MECA”,
[Defect]
/
“KE_MIXTE”
The elastoplastic factor of correction Ke can be calculated in two ways:
·
KE_MECA: it is the original method, only available in the versions former to
version 7.2 [cf R7.04.03]
·
KE_MIXTE: Since the modifying 1997 of the RCC-M, one can choose another formula,
based on a decomposition of Salt:
1
(I,)
E
J
C
=.
.
,
.
,
+
,
.
,
alt
(Kmeca (Sn (p Q) Smeca
p
(I J) K ther (Sn (p Q) Sther
p
(I J) with:
2nd
E
E
K meca (S
,
is equal to Ke defined in [R7.04.03], and
N (p Q)
E
1
ther
K
S p Q
E
(N (,)
1
= max
.
.86
1
1
-
.S
66
.
1
+ N
Sm
S meca
p
(I, J) represents the quantity Sp, amplitude of variation on mechanical behalf of
constraints, between the moments I and J, or maximum value of this quantity during the transient,
calculated on the basis of stress of mechanical origin: pressure, actual weight, seism (inertial
and displacements of anchoring), thermal expansion.
S ther, represents the Sp quantity calculated starting from the generated mechanical constraints
p
(I J)
only by the thermal transients.
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5.6 Word
key
ZONE_ANALYZE
This key word makes it possible to limit the fatigue analysis to meshs or groups of mesh of the line of
piping.
5.6.1 Operands
ALL/GROUP_MA/MESH
/
TOUT =
“OUI”
,
/GROUP_MA
=
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
By defect the calculation of the factor of use is made for all the nodes of the model.
These key words make it possible to restrict the analysis with meshs or groups
meshs, which makes it possible to save calculating time.
5.7 Word
key
RESU_MECA
This key word factor makes it possible to define the results of mechanical calculations. It is répétable as much of
time that there are mechanical loadings different as a whole from the situations.
5.7.1 Operand
NUME_CHAR
Number of the mechanical loading. This number is used to define the loadings associated with
each situation (see key word SITUATION).
5.7.2 Operand
NOM_CHAR
Name (optional) of the mechanical loading.
5.7.3 Operand
TYPE_CHAR
TYPE_CHAR
=
/
“SEISME”,
[KN]
/
“AUTRE”
,
[DEFAUT]
Mechanical type of loading. This type is used only in the case of it
SEISME, which profits from a particular processing (combination quadratic from
efforts). In the other cases, the combinations are linear.
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5.7.4 Operand
RESULT/CHAM_GD
/
RESULTAT
=
resu,
/
[evol_elas]
/
[evol_noli]
/TOUT_ORDRE = “YES”,
/
NUME_ORDRE =
lordre
,
[l_I]
/
LIST_ORDRE =
lordre
,
[listIs]
/
INST =
linst
,
[l_R]
/
NOEUD_CMP
=
lnoecmp,
[l_K16]
/
LIST_INST
=
linst
,
[listr8]
| PRECISION
=
/
prec,
[R]
/
1.D-06
,
[DEFAUT]
| CRITERE =
/
“RELATIVE”, [DEFECT]
/
“ABSOLU”
,
NOM_CHAM
=
/
“EFGE_ELNO_DEPL”,
/
“SIEF_ELNO_ELGA”,
/
CHAM_GD =
cham_effo
,
[cham_elem]
)
Results of calculations for each loading: fields by elements with the nodes of efforts
generalized:
one can give:
· that is to say a field by element
: cham_effo which is of type EFGE_ELNO_DEPL, or
SIEF_ELNO_ELGA,
· that is to say a structure of data result (exit of MECA_STATIQUE or STAT_NON_LINE)
with parameters of extraction
: moment, NOM_CHAM=' EFGE_ELNO_DEPL', or
“SIEF_ELNO_ELGA”…) either resulting from COMB_SISM_MODAL or MODE_STATIQUE with
additional parameter of extraction NOEUD_CMP.
For the latter, the fields of efforts relating to the seism are the moments for each component
of each seism (resulting from a quadratic combination NOEUD_CMP= (“COMBI”, “QUAD”), for
the inertial response and of the nodes and the directions: for example NOEUD_CMP= (“N1”, “DX”) for
displacements of anchorings.
5.8 Operand
INDI_SIGM
INDI_SIGM=_F (
C1
=
/
1. ,
[DEFAUT]
=
/
c1,
[R]
C2
=
/
1. ,
[DEFAUT]
=
/
c2,
[R]
C3
=
/
0.5
,
[DEFAUT]
=
/
c3,
[R]
K1
=
/
1. ,
[DEFAUT]
=
/
k1,
[R]
K2
=
/
1. ,
[DEFAUT]
=
/
k2,
[R]
K3
=
/
1. ,
[DEFAUT]
=
/
k3,
[R]
/
TOUT
=
“OUI”,
/
GROUP_MA =
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
/
GROUP_NO =
gno1,
[groupno]
/NOEUD
= no1,
[node]
TYPE_ELEM_STANDARD
=
/
“DRO”,
[KN]
/
“COU”,
[KN]
/
“TRN”,
[KN]
/
“TEE”,
[KN]
)
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:
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Values of the indices of constraints to be used in the analysis of fatigue (values codified in
RCC-M B3683, variable according to the type of junction). the user provides for each group of meshs,
or each node of each mesh, values of C1, C2, C3, K1, K2, K3, knowing that values by
defect are those which correspond to the right parts of pipings, which facilitates the introduction
data. One will be able to have for example:
INDI_SIGM= _F (
GROUP_MA=' GMA1'),
(assignment of the default values for all the nodes of all the meshs of GMA1)
_F (
MAILLE=' MA2', NOEUD=' NO2', C1=1.2, C2=1.4…),
(assignment of particular indices for node NO2 of mesh MA2)
TYPE_ELEM_STANDARD is an optional key word, purely informative, making it possible to display more
clearly in the table results according to the type of elements and junctions. One will be able to give,
as in OAR, [bib3] a description of the type:
· DRO: to some extent right,
· COU: for an elbow,
· TRN: for a transition from thickness,
· TEE: for a t-piece.
5.9 Word
key
RESU_THER
This key word factor makes it possible to define the results of thermal calculations. It is répétable as many time
that there are different thermal calculations and geometrical discontinuities or materials.
As an indication, there can be: (Nb discontinuities) * (Nb thermal transients).
5.9.1 Operand
NUME_RESU_THER
NUME_RESU_THER
=
numtran [I]
Number of the thermal transients. This number is used to identify it
thermal transient associated each situation (see key word SITUATION).
5.9.2 Operand
TABL_RESU_THER
TABL_RESU_THER
=
count
[tabl_post_releve]
Count resulting from POST_RELEVE_T, containing for each thermal calculation
transient, the statement of the temperatures on a section (chosen by the user) of
grid 2D or 3D of a junction or a right part at various moments of
transient. The origin of the section must be the internal skin.
TABL_MOYE_THER
=
count
[tabl_post_releve]
Count resulting from POST_RELEVE_T, (OPERATION=' MOYENNE') containing for
each transitory thermal calculation, averages of command 0 and 1 of the temperatures
on the selected section (in coherence with TABL_RESU_THER) at various moments of
transient.
These quantities are used to calculate the values of T
, T
, T and T
1
2
has
B
[R7.04.03].
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5.9.3 Operands
ALL/GROUP_MA/MESH/GROUP_NO/NODE
/ALL = “YES”,
/
GROUP_MA
=
gma1,
[groupma]
/
MAILLE
=
ma1
,
[mesh]
/GROUP_NO
=
gno1,
[groupno]
/NOEUD = no1
,
[node]
The table and the transient are associated is with a group of meshs, (in general
this group contains all the right parts which see the same transient
thermics), is with a mesh, and a node of this mesh (what corresponds in
General with a junction). One will be able to have for example:
RESU_THER =_F (NUME_RESU_THER =
1,
TABL_RESU_THER = tabl1,
TABL_MOYE_THER = tabl11,
GROUP_MA=' gma1'),
_F (NUME_RESU_THER = 1,
TABL_RESU_THER = tabl2,
TABL_MOYE_THER = tabl22,
MAILLE
=
“ma1”
,
NOEUD
=
“no2”
)
5.10 Word
key
SITUATION
This key word factor makes it possible to define the definitions of the situations. It is répétable as many time as it y
has situations.
5.10.1 Operands NUME_SITU/NOM_SITU/NB_OCCUR
NUME_SITU
=
numsitu,
[I]
NOM_SITU
=
nomsitu,
[KN]
NB_OCCUR
=
nbocc
,
[I]
NB_CYCL_SEISME
=
nbsss
,
[I]
Number of the situation, and name (indicative). NB_OCCUR corresponds to the key word
OCCURRENCE of file OAR and indicates the number of occurrences of the situation.
NB_CYCL_SEISME provides the number of under-cycles for each occurrence of
seism.
5.10.2 Operands PRES_A/PRES_B/TEMP_REF_A/TEMP_REF_B
PRES_A
=
pressed
,
[R]
PRES_B
=
pressb
,
[R]
TEMP_REF_A = tempa,
[R]
TEMP_REF_B = tempb,
[R]
Temperatures (stabilized) and pressures associated with each of the two states
stabilized situation.
These operands are useless if the situation corresponds to a seism.
5.10.3 Operands CHAR_ETAT_A/CHAR_ETAT_B
CHAR_ETAT_A
=
(list_num_char_meca)
,
[L_I]
CHAR_ETAT_B
=
(list_num_char_meca)
,
[L_I]
List mechanical numbers of loadings associated in each stabilized state.
These numbers correspond to key word NUME_CHAR of the key word factor CHAR_MECA.
Operand CHAR_ETAT_B is useless if the situation corresponds to a seism, only
the loadings provided under CHAR_ETAT_A are used (quadratic combination)
(they must correspond to the results of inertial calculation using
COMB_SISM_MODAL, and of each displacement of anchoring under seism, obtained either
using MODE_STATIQUE, that is to say on a case-by-case basis).
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5.10.4 Operand NUME_RESU_THER
NUME_RESU_THER = list_num_tran
[L_I]
List numbers of tables resulting from thermal calculations associated the situation. With
each situation is associated a thermal transient (or several in the case of
various sections of lines). If for a given situation, there is
physically two transients, like heating-cooling for example, it
is of use in B3600 to combine these two transients in only one.
For each situation, one provides N tables which represent the calculation of same
thermal transient in various places of the line (for each thickness or
each discontinuity). These numbers must belong to the list of the provided numbers
under key word NUME_RESU_THER of the key word factor RESU_THER.
5.10.5 Operand NUME_GROUPE/NUME_PASSAGE
NUME_GROUPE
=
numgroup
, [I]
NUME_PASSAGE
=
(num1,
num2)
,
[L_I]
Number of group to which the situation belongs.
The fatigue analysis combines between them only the situations of the same group,
except if there is a situation of passage between the two groups.
For the situations of passage, num1 and num2 indicate the two numbers of
groups connected by this situation. A situation of passage is defined, like one
another situation, by two lists of loadings and a thermal transient. It can
to belong to a group of situations containing of other situations.
5.10.6 COMBINABLE operand
COMBINABLE =
/“OUI”
,
[DEFAUT]
/“NON”
,
[KN]
This key word indicates if a situation is combinable with the others inside sound
group (general case).
If COMBINABLE=' NON', that means that the situation is a under-cycle.
5.10.7 Operand NB_CYCL_SEISME
NB_CYCL_SEISME = nbsss,
A number of cycles associated with each occurrence with the seism, considered as
under-cycles in the calculation of the factor of use.
5.11 Example
of use
Test RCCM02 provides a complete example of use. For more information, one will be able to refer
with the document [U2.09.03].
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6
Operands specific to the results of the type UNITAIRE
6.1 Preliminaries
It is supposed here that the calculation of the component was carried out in Aster (exploitation of a statement of
forced on a segment chosen by the user), or comes from one request at the data base
OAR [bib1], in which profiles of constraints can be stored. One here is used
common specification of the form of the results resulting from these two paths.
Calculations 2D or 3D of the component are to be made only for unit loadings (efforts and
unit total moments applied to the limits of the model, by connections 3D beam for example).
It are combined then linearly according to the values of the efforts and moments resulting from calculation
beam of piping, for all the loadings intervening in the situations of calculation. Attention,
the reference mark used for calculation 2D or 3D must be coherent with that in which are expressed
total efforts resulting from calculation beam.
Preliminary calculations to carry out in Aster or to extract from the data base OAR (so available):
·
Calculation of the line of piping, type beam (elastic design) for each loading, y
included/understood the seism (one is generally useful of the moments, expressed in a local reference mark with
each element, identical for all the results), in order to deduce the efforts from them to be applied
with the limits of the model 2D or 3D.
·
Calculation of each thermal transient, on the same grid 2D or 3D.
The data necessary to postprocessing are summarized here (and detailed with the § according to):
·
The material (presumedly single initially) that the segment of study crosses:
isotropic elastic material for which it is necessary to add the curve of fatigue, E_REFE, M_KE and N_KE.
·
The scenario of operation (available in OAR) containing the list of the situations:
-
For each situation:
-
Numbers of occurrences of each situation (thus of each stabilized state).
-
Pressure and average temperature of each stabilized state.
-
List mechanical loadings of each stabilized state.
-
The group of membership of the situation.
-
The associated thermal transient.
·
The definition of each mechanical loading (including the seism), located by sound
number, with for information the name of, and the torque loading case of generalized efforts
correspondent with this loading, to apply to the limits of the model.
·
Results of calculations for each unit mechanical loading (extraction of the values
constraints on a segment chosen by the user of the model 2D or 3D).
·
Results of thermal calculations: extraction of the constraints on a segment of the model
EFF 2D or 3D One thus has a thermal calculation by transient.
6.1.1 Option
PM_PB
Option allowing to calculate the criteria of level 0 which aim at securing the hardware against
damage of excessive deformation, plastic instability and elastic and elastoplastic instability.
These criteria require the calculation of the equivalent constraints of Pm membrane, of membrane
local Pl, of inflection Pb and membrane plus Pm inflection + Pb.
See [§4.1.2].
6.1.2 Option
SN
Option allowing to calculate the criteria of level A (except fatigue) which aim at securing the hardware
against the damage of progressive deformation. They require the calculation of the amplitude of variation
of constraint linearized in a point, noted Sn.
See [§4.1.3].
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6.1.3 Option
FATIGUE
The fatigue analyzes (option “FATIGUE”) within the meaning of the RCCM B3200 are carried out on a segment
of analysis, starting from statements of constraints on this segment for unit loadings. These
calculations are in conformity with what is done in design, and the data necessary are accessible
(in the files of analysis of behavior, or in OAR).
6.2 Operand
MATER
MATER = chechmate
Name of material containing, for the analyzed segment, the characteristics useful to
FATIGUE_B3200 and definite under key words ELAS and RCCM of DEFI_MATERIAU [U4.43.01]
(E, NAKED, ALPHA, WOHLER, E_REFE, M_KE, N_KE, SM)
Notice on the curves of fatigue:
For the small amplitudes of constraints, the problem of the prolongation of the curve of
fatigue can be posed: for example, for the curves of fatigue of the RCCM beyond 106
cycles, the corresponding constraint, 180 MPa is regarded as limit of endurance,
i.e. that very forced lower than 180 MPa must produce a factor of null use, or
an infinite number of cycles acceptable.
The method adopted here corresponds to this concept of limit of endurance: if the amplitude of
constraint is lower than the first X-coordinate of the curve of fatigue, then one takes one
factor of null use.
6.3 Operand
TYPE_KE
TYPE_KE =
/
“KE_MECA”,
[Defect]
/
“KE_MIXTE”
The elastoplastic factor of correction Ke can be calculated in two ways:
·
KE_MECA: it is the original method, only available in the versions former to
version 7.2 [cf R7.04.03];
·
KE_MIXTE: Since the modifying 1997 of the RCC-M, one can choose another formula,
based on a decomposition of Salt [cf U2.09.03].
6.4 Word
key
CHAR_MECA
This key word factor makes it possible to define, for each mechanical loading appearing in
situations, torques applied to the limits of the model, resulting from calculations of the beam type. It is
répétable as many time as there are mechanical loadings different as a whole from
situations.
6.4.1 Operand
NUME_CHAR
Number of the mechanical loading. This number is used to define the loadings associated with
each situation (see key word SITUATION).
6.4.2 Operand
NOM_CHAR
Name (optional) of the mechanical loading.
6.4.3 Operand
TYPE_CHAR
TYPE_CHAR
=
/
“SEISME”,
[KN]
/
typechar,
[KN]
Mechanical type of loading. This type is used only in the case of the SEISME, which profits
of a particular processing. In the other cases, it is purely informative.
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6.4.4 Operands
MX/MY/MZ/FX/FY/FZ/NEAR
MX
=
MX
,
[R]
MY
=
my
,
[R]
MZ
=
mz
,
[R]
FX
=
fx
,
[R]
FY
=
fy
,
[R]
FZ
=
fz
,
[R]
Generalized efforts resulting from calculations of the line of piping, beam type, for
each loading, to apply to the profiles of constraints provided under
RESU_MECA_UNIT, by linear combination.
Attention, this supposes that these values are provided in a coherent reference mark with
that used for modeling 2D or 3D of the component.
Among these efforts one finds also the results of calculations for each seism:
moments for each component of each seism, the inertial answer and
for displacements of anchorings.
6.5 Word
key
RESU_MECA_UNIT
RESU_MECA_UNIT=_F (
TABL_MX =
tabsigmx
[tabl_post_releve]
TABL_MY =
tabsigmy
[tabl_post_releve]
TABL_MZ =
tabsigmz
[tabl_post_releve]
TABL_FX = tabsigfx
[tabl_post_releve]
TABL_FY = tabsigfy
[tabl_post_releve]
TABL_FZ = tabsigfz
[tabl_post_releve]
TABL_PRES
=
tabsigpr
[tabl_post_releve]
)
This key word factor makes it possible to provide the profiles of constraints on the segment chosen,
resulting from unit mechanical calculations. For the realization of these calculations, it is
recommended to apply to the limits of the model 3D of the connections of the 3Dpoutre type
with specific discrete elements. One of these elements is embedded, and on
the other, one applies unit generalized efforts. Let us note that it is of use in
calculations RCCM of the piping type to consider only the moments, it is
why the key words factors TABL_FX, TABL_FY TABL_FZ are optional.
TABL_PRES corresponding to a calculation under pressure interns unit, without forgetting
the basic effect.
6.6 Word
key
RESU_THER
This key word factor makes it possible to define the results of thermal calculations. It is répétable as many time
that there are different thermal calculations.
6.6.1 Operand
NUME_RESU_THER
NUME_RESU_THER
=
numtran [I]
Number of the thermal transients. This number is used to identify it
thermal transient associated each situation (see key word SITUATION).
6.6.2 Operand
TABL_RESU_THER
TABL_RESU_THER
=
count
[tabl_post_releve]
Count resulting from POST_RELEVE_T, containing for each thermal calculation
transient, the statement of the constraints due to the thermal loading on the section of
grid 2D or 3D chosen by the user at various moments of the transient. The origin
section must be the internal skin.
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
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6.7 Word
key
SITUATION
This key word factor makes it possible to define the definitions of the situations. It is répétable as many time as it y
has situations.
6.7.1 Operands
NUME_SITU/NOM_SITU/NB_OCCUR
NUME_SITU
=
numsitu,
[I]
NOM_SITU
=
nomsitu,
[KN]
NB_OCCUR
=
nbocc
,
[I]
Number of the situation, and name (indicative). nbocc corresponds to the number
occurrences of the situation.
6.7.2 Operands
PRES_A/PRES_B/TEMP_REF_A/TEMP_REF_B
PRES_A
=
pressed
,
[R]
PRES_B
=
pressb
,
[R]
TEMP_REF_A = tempa,
[R]
TEMP_REF_B = tempb,
[R]
Temperatures (stabilized) and pressures associated with each of the two stabilized states
situation.
6.7.3 Operands
CHAR_ETAT_A/CHAR_ETAT_B
CHAR_ETAT_A = (list_num_char_meca)
,
[L_I]
CHAR_ETAT_B = (list_num_char_meca)
,
[L_I]
List mechanical numbers of loadings associated in each stabilized state.
These numbers correspond to key word NUME_CHAR of the key word factor CHAR_MECA.
6.7.4 Operand
NUME_RESU_THER
NUME_RESU_THER = list_num_tran
[L_I]
List thermal numbers of transients associated the situation. There can be 0
or 1 transient section by section of line (what corresponds to groups of meshs)
for each situation. These numbers correspond to key word NUME_RESU_THER of
key word factor RESU_THER.
If for a given situation, there are physically two transients for
a section, like heating-cooling for example, it is of use in
B3600 to combine these two transients in only one.
6.7.5 Operand
NUME_GROUPE/NUME_PASSAGE
NUME_GROUPE
=
numgroup
, [L_I]
NUME_PASSAGE
= (num1,
num2),
[L_I]
Number (S) of group (S) of situation for each situation (situations of two
different groups cannot be combined between them, except if there is one
situation of passage). In general, a situation belongs to only one group. But it
can exist cases where the same situation belongs to several groups.
For the situations of passage, num1 and num2 indicate the two numbers of
groups connected by this situation. A situation of passage is defined, like one
another situation, by two lists of loadings and a thermal transient. It can
to belong to a group.
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Code_Aster ®
Version
8.2
Titrate:
Operator POST_RCCM
Date
:
22/02/06
Author (S):
E. CRYSTAL, L. VIVAN Key
:
U4.83.11-F1 Page:
22/22
6.7.6 Operand
COMBINABLE
COMBINABLE =
/“OUI”
,
[DEFAUT]
/“NON”
,
[KN]
This key word indicates if a situation is combinable with the others inside sound
group (general case). If COMBINABLE=' NON', that means that
situation is a under-cycle.
6.7.7 Operand
NB_CYCL_SEISME
NB_CYCL_SEISME = nbsss,
A number of cycles associated with each occurrence with the seism, considered as
under-cycles in the calculation of the factor of use.
Notice on the seism:
Only one loading of the type SEISME can be defined by group of situations. On the other hand it
is possible to define several groups of situations comprising each one in the more one
loading of the type SEISME.
6.8 Example
Tests RCCM04 and RCCM07 provide complete examples of use. For more
information, one will be able to refer to the document [U2.09.03].
7 Bibliography
[1]
“RCC-M: Rules of Conception and Construction of the mechanical hardware of the small islands
nuclear PWR. Edition 1993 “Edité by the AFCEN: French association for the rules of
design and of construction of the hardware of the nuclear boilers.
[2]
Y. WADIER, J.M. PROIX: “Specifications for an ordering of Aster allowing of
analyzes according to rules' of the RCC-M B3200 “. Note EDF/DER/HI-70/95/022/0
[3]
I. BAKER, K. AABADI, A.M. DONORE: “Project OAR: Description of “file OAR”,
filing system of feeding of the data base “Note EDF/R & D/HI-75/01/008/C
[4]
F. CURTIT: “Realization of a software tool for analysis to fatigue for a line of piping
- schedule of conditions “Note EDF/R & D/HT-26/02/010/A
[5]
F. CURTIT: “Analysis with the fatigue of an interior line VVP Br with under-thickness” Note
EDF/R & D/HT-26/00/057/A
Handbook of Utilization
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
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