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Titrate:
Operator
POST_RELEVE_T
Date:
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Author (S):
X. DESROCHES, L. VIVAN
Key
:
U4.81.21-G1
Page:
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Instruction manual
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
Organization (S):
EDF-R & D/AMA, CS IF














Instruction manual
U4.8- booklet: Postprocessing and dedicated analyzes
Document: U4.81.21



Operator
POST_RELEVE_T


1 Goal
To extract from the values of components of fields of sizes and to carry out calculations of averages
and of invariants. The values are recorded on nodes, meshs, broken lines connecting of the nodes or
on beforehand definite loci like concepts of the type curves (
INTE_MAIL_2D
[U4.81.11]) or surfaces (
INTE_MAIL_3D
[U4.81.12]). They can be the object, by this same
procedure:
·
calculations of:
- averages,
- resultants and moments of vector fields,
- invariants of tensorial fields,
- directional trace of fields,
·
of expression in the reference marks
TOTAL
,
ROOM
,
POLAR
,
USER
or
CYLINDRICAL
.
POST_RELEVE_T
product a concept of the type counts, which can be printed using
IMPR_TABLE
[U4.91.03].
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2 Syntax
general

tresu [tabl_post_rele] = POST_RELEVE_T
(

ACTION = _F (
ENTITLE
= name
,
[K8]

/
PATH
=
/
curve, [curve]
/
surface,
[surface]
/
|
NODE = lnoe, [l_noeud]
|
GROUP_NO
=
lgrno, [l_gr_noeud]
/ALL =
“YES”,
/
|
NET
=
lmail,
[l_maille]
|
GROUP_MA=
lgrma,
[l_gr_maille]

FORMAT_C
=/
“MODULE”,
[DEFECT]
/
“REAL”
,
/
“IMAG”
,
/CHAM_GD = chpgd,/
[cham_no_DEPL_R]
/
[cham_no_TEMP_R]
/
[cham_no_PRES_R]
/
[cham_no_VARI_R]
/
[cham_elem_SIEF_R]
/
[cham_elem_EPSI_R]
/
[cham_elem_FLUX_R]
/
[cham_elem_CRIT_R]
/
[cham_elem_ENER_R]
/
[cham_elem_DBEL_R]
/
[cham_elem_PRES_R]
/
[cham_elem_ERREUR]
/
[cham_elem_VARI_R]
/
[cham_no_DEPL_C]
/
[cham_no_TEMP_C]
/
[cham_no_PRES_C]
/
[cham_elem_SIEF_C]
/
[cham_elem_EPSI_C]
/
[cham_no_FACY_R]

/
RESULT
=
resu,
/
[evol_elas]
/
[evol_ther]
/
[evol_noli]
/
[mode_flamb]
/
[dyna_trans]
/
[dyna_harmo]
/
[mode_meca]
/
[mode_stat]
/
[fourier_elas]
/
[mult_elas]
/
[mode_acou]
/
[acou_harmo]
/
[base_modale]
SENSITIVITY = (see [U4.50.02])
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NOM_CHAM
= chpsymbo,
[K16]
/TOUT_ORDRE = “YES”,
/
NUME_ORDRE =
lordre, [l_I]
/
LIST_ORDRE =
lenti,
[listis]
/
NUME_MODE
=
lmode,
[l_I]
/
LIST_MODE
=
lenti,
[listis]
/
NOM_CAS =
nomcas, [K24]
/
NOEUD_CMP
=
noeucmp,
[K24]
/
/
FREQ =
lfreq,
[l_R]
/
LIST_FREQ
=
lreel,
[listr8]
/
INST =
linst,
[l_R]
/
LIST_INST
=
lreel,
[listr8]
|
PRECISION=/
prec, [R]
/
1.D6,
[DEFECT]
|
CRITERE=/
“RELATIVE”, [DEFECT]
/“ABSOLUTE”,
/TOUT_CMP
= “YES”,
/
NOM_CMP =
lcmp,
[l_K8]
IDENTIFY
=
/
“TOTAL”
, [DEFECT]
/
“POLAR”,
/
“LOCAL”
,
VECT_Y= (oy1, oy2, oy3), [l_R]
/
“USER”,
ANGL_NAUT = (
,
,
),
[l_R]
/
“CYLINDRICAL”,
ORIGIN = (X, y, Z),
[l_R]
AXE_Z= (oz1, oz2, oz3), [l_R]
|
TRAC_NOR = “YES”,
|
TRAC_DIR = “YES”,
DIRECTION =
(X, y, [Z]), [l_R]
/INVARIANT = “YES”,
/
ELEM_PRINCIPAUX=
“YES”,
/RESULTING = lcmp,
[l_K8]
MOMENT =
lcmp,
[l_K8]
NOT =
(X, y, [Z]), [l_R]
OPERATION
=
|
“EXTRACTION”,
[K16]
|
“AVERAGE”,
MOYE_NOEUD=
/
“YES”,
[DEFECT]
/
“NOT”,
TITRATE
= title
[l_Kn]
)

)
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3
Principles of use of
POST_RELEVE_T
:
operand
ACTION
The postprocessing carried out by
POST_RELEVE_T
require the data of three information:
·
place,
·
object,
·
nature.
Each occurrence of the key word factor
ACTION
this triplet defines.
The place of postprocessing indicates a geometrical figure connecting the points of postprocessing. This place
is defined by means of the key words:
PATH
NODE
GROUP_NO
The object of postprocessing is defined by the choice of a field of size, components and
possibly of associated quantities chosen by various key words.
The fields of size are chosen by one of the key words:
RESULT
and key words allowing for choice of the fields with the nodes or the fields with
elements of the structure of data
result
(see booklet [U5.01]).
CHAM_GD
field of size produced by an operator elementary, or extracted from a concept
result by
RECU_CHAMP
[U4.71.01].
components by:
TOUT_CMP
NOM_CMP
and quantities associated by:
INVARIANT
ELEM_PRINCIPAUX
TRAC_NOR
TRAC_DIR
and
DIRECTION
RESULTANT
and, optionally,
MOMENT
and
NOT
The nature of postprocessing corresponds to the operations: key word
OPERATION
·
of extraction of values:
“EXTRACTION”
·
of calculation of averages, of minimum and maximum:
“AVERAGE”
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4
Choice of the place of postprocessing
4.1 Syntax
/
PATH
=
/
curve, [curve]
/
surface,
[surface]
/
|
NODE
= lnoe,
[l_noeud]
|
GROUP_NO
=
lgrno, [l_gr_noeud]
/ALL = “YES”,
/
|
NET
=
lmail,
[l_maille]
|
GROUP_MA
=
lgrma, [l_gr_maille]
4.2 Operands
PATH
/
NODE
/
GROUP_NO/ALL/MESH/
GROUP_MA
·
The argument of
PATH
is a concept produced by one of the following operators:
INTE_MAIL_2D
[U4.81.11]
The concept is reduced then is with the intersection of segment of straight line and/or arc of circle
with the meshs 2D of the mesh
, that is to say with a whole of paths built on
meshs 1D of the mesh of
.
INTE_MAIL_3D
[U4.81.12]
The concept is then reduced to the intersection segments of straight line with the meshs 3D of
mesh of
.
The place obtained in this case is always included in
.
·
The argument of NODE is a list of nodes while that of
GROUP_NO
is a list of
groups of nodes. The nodes are treated in the order provided by the user. To reorder
the nodes of a list, the control should be used
DEFI_GROUP OPTION “NOEUD_ORDO”
[U4.22.01]
·
The key words NETS and GROUP_MA make it possible to limit postprocessing to a list of meshs
or/and a list of groups of meshs.
ALL = “YES” returns to the standard case (one considers all the meshs). These key words are not
usable that with NODE and/or GROUP_NO.
4.3
Concepts of points of postprocessing and examples
The points of postprocessing are the points of
where the components (or quantities derived) are
evaluated. The operation of extraction carries out this evaluation.
The points of postprocessing can be classified according to two families:
·
Nodes
:
Case where the place of postprocessing is defined is by means of the key words
NODE
and/or
GROUP_NO
, that is to say by means of the key word
PATH
with a concept of the type
curve
obtained
like lists of mesh 1D.
·
Geometrical points:
Case where the place of postprocessing is defined by means of the key word
PATH
with a concept of
type
curve
or
surface
obtained like meeting of segments of straight line and/or arcs of
ring.
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4.3.1 Example of curves and parts of curve of one
PATH
M
5
D
O
B
C
M
6
M
7
M
8
M
4
M
3
M
2
M
1
With
0
Y
X
Appear 4.3.1-a
The path represented on this figure consists of two curves: the first curve corresponds
with the segment of straight line [AD] and the second with the arc of circle of center O which connects the point M
1
at the point
M
8
. The curve corresponding to the arc connecting M
1
and M
8
breaks up into four parts: arcs connecting
respectively M
1
with M
2
, M
3
with M
4
,
M
5
with M
6
,
M
7
with M
8
, other ends of arc being external with
field.
The curve corresponding to segment [AB] breaks up into two parts: segment [AB] and it
segment [CD] bus [BC] is external with the field
.
4.3.2 Example of points of postprocessing corresponding to one
PATH
With
B
M
4
M
3
M
2
M
1
NR
5
NR
6
NR
7
NR
8
NR
9
NR
10
NR
2
NR
1
NR
3
NR
4
Appear 4.3.2-a
On this figure two paths are visualized.
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Path n°1: segment [AB]
·
The points of postprocessing are reduced to {A, M
1
, M
2
, M
3
, M
4
, B}.
·
The point
M
I
is identified by the curvilinear X-coordinate
()
M
I
I
=
AM
In the case of an arc of circle the curvilinear X-coordinate is defined by
S
R
=
or
R
is it
radius and
is the angle corresponding to the point in question.
Path n°2: meeting of two paths (two parts)
·
The points of postprocessing are reduced to {NR
1
, NR
2
, NR
3
, NR
4
} and {NR
5
, NR
6
, NR
7
, NR
8
, NR
9
, NR
10
}.
·
The curvilinear X-coordinate identifying NR
I
on the path of points of postprocessing {Ni,… NR
p
} is
defined by the relations:
()
()
S NR
S NR
,…,
1
1
1
1
0
2
=
=
=
+
=
= -
I
J
J
J
J I
I
p
NR NR
for
4.3.3 Example of points of postprocessing specified by the key words
NODE
or
GROUP_NO
NR
61
NR
104
NR
427
NR
47
Appear 4.3.3-a
This figure visualizes a place of postprocessing built starting from a list of nodes.
The points of postprocessing are the nodes represented, the place of postprocessing is the broken line
connecting according to the command provided by the user, which makes it possible to define a curvilinear X-coordinate in
means of the relations presented for the paths seen previously. The value extracted on these
paths is interpolated linearly between the values recorded on the nodes. Thus it is necessary to notice
that if the operation of postprocessing is a calculation of average, all occurs like if the segment
[NR
47
NR
61
] was contained entire in
.
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5
Object-choice of postprocessing
These key words make it possible to define the object of postprocessing. They indicate:
·
a field of size: key words
CHAM_GD
,
RESULT
(and its associated key words),
·
a quantity associated with the components with the field: key words
TOUT_CMP
,
NOM_CMP
,
INVARIANT
,
ELEM_PRINCIPAUX
,
TRAC_NOR
,
TRAC_DIR
,
DIRECTION
,
IDENTIFY
,
SUMMON
,
RESULTANT
,
MOMENT
,
NOT
.
5.1
Field of size
5.1.1 Syntax
/CHAM_GD = chpgd,
/RESULT = resu,
SENSITIVITY = list of the sensitive parameters [listk8]
NOM_CHAM
=
chpsymbo, [K16]
/TOUT_ORDRE
=
“YES”,
/
NUME_ORDRE
=
lordre, [l_I]
/
LIST_ORDRE
=
lenti,
[listis]
/
NUME_MODE
=
lmode,
[l_I]
/
LIST_MODE
=
lenti,
[listis]
/
NOM_CAS
=
nomcas, [K24]
/
/
FREQ
=
lfreq,
[l_R]
/
LIST_FREQ
=
lreel,
[listr8]
/
INST
=
linst,
[l_R]
/
LIST_INST
=
lreel,
[listr8]
|
PRECISION
=
/
prec, [R]
/
1.D6,
[DEFECT]
|
CRITERION
=
/
“RELATIVE”,
[DEFECT]
/“ABSOLUTE”,
FORMAT_C
=
/
“MODULE”,
[DEFECT]
/
“REAL”,
/
“IMAG”,
5.1.2 Operand
CHAM_GD
The argument of
CHAM_GD
is the name of a concept of the type
cham_no_ *
or
cham_elem_ *
.
5.1.3 Operands
RESULT
/
NOM_CHAM
/
TOUT_ORDRE
/
NUME_ORDRE
/
LIST_ORDRE
/
NUME_MODE
/
LIST_MODE
/
NOM_CAS
/
FREQ
/
LIST_FREQ
/
INST
/
LIST_INST
/
PRECISION
/
CRITERION
See [U4.71.00].
5.1.4 Operand
SENSITIVITY
SENSITIVITY = list of the significant parameters [listk8]
This key word is followed of a sensitive parameter list. It specifies that one is not interested in
result in itself, but with derived from the result compared to a parameter. Thus one
sequence of this type:
RESULT = resu,
SENSITIVITY = (PS),
NOM_CHAM = “DEPL”
mean that one will operate on the derivative of the field of displacement of the resu result by report/ratio
with the parameter PS. See [U4.50.02] for the details on the parameters associated with the key word.
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5.1.5 Operand
FORMAT_C
In the case of the complex fields, one can extract:
/“MODULE”
the module
/
“REAL”
the real part
/
“IMAG”
the imaginary part
5.2
Components of the field and quantities derived
For the vectors and the tensors of command 2, it is possible to ask the evaluation of the components
in a reference mark and to derive from the quantities obtained by contracted product. Key words
IDENTIFY
,
TRAC_NOR
,
TRAC_DIR
and
DIRECTION
allow to define these quantities.
5.2.1 Syntax
/TOUT_CMP
= “YES”,
/
NOM_CMP =
lcmp,
[l_K8]
/REFERENCE MARK =/“TOTAL”,
[DEFECT]
/“POLAR”,
/“LOCAL”,
VECT_Y= (oy1, oy2, oy3), [l_R]
/“USER”,
ANGL_NAUT = (
,
,
),
[l_R]
/“CYLINDRICAL”,
ORIGIN = (X, y, Z), [l_R]
AXE_Z= (oz1, oz2, oz3), [l_R]
/TRAC_NOR
= “YES”,
/TRAC_DIR
= “YES”,
DIRECTION =
(X, y, [Z]), [l_R]
/INVARIANT = “YES”,
/ELEM_PRINCIPAUX=
“YES”,
/RESULTING = lcmp,
[l_K8]
MOMENT =
lcmp,
[l_K8]
NOT =
(X, y, [Z]), [l_R]
5.2.2 Operand
TOUT_CMP
/TOUT_CMP
This key word admits for argument only the text
“YES”
and selects all the components
defined in the catalog of the sizes for the size relating to the fields specified by
key words
RESULT
and
CHAM_GD
.
5.2.3 Operands
NOM_CMP
Allows to define the components of the size of the treated field:
/NOM_CMP:
the components are introduced by name
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5.2.4 Operand
IDENTIFY
/REFERENCE MARK
The choice of a reference mark allows among the following reference marks:
·
identify
TOTAL
: Cartesian reference mark of definition of the mesh,
·
identify
POLAR
: standard polar reference mark of plan (OXY) (command of the components:
()
R,
),
·
identify
ROOM
: identify plan made up of the tangent and normal vectors (in this
command) instead of postprocessing. The normal vector is defined in each point of
postprocessing like average of the normals on the right and on the left.
Definition of the normal instead of postprocessing.
In each point of postprocessing the normal is defined like average of the normals on the right
and on the left.
NR
N
N
D
N
G
T
Appear 5.2.4-a
The tangent vector is obtained by a rotation of
-
2
starting from the normal vector.
In the case of the LOCAL reference mark and of a path 3D (case of ASPIC for example), it will be necessary to provide:
VECT_Y = (oy1, oy2, oy3)
Co-ordinates of a vector of which projection on the orthogonal level with the directing axis of the path
will be taken as the normal with the path. The command of the components in a local reference mark is (T, N,
K).
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Example of use:
X
X
Z
Y
X
Z
Z
X
y
y
y
With
C
B
Z
Appear 5.2.4-b
One wants to make an extraction on the path ABC according to the definite local reference mark above (local axis y
in total direction OX).
Here, one can find a vector constant in any point of the path to define the vector
VECT_Y = (1., 0., 0.).
This is possible bus in any point this vector is already in the orthogonal plan with the path.
X
X
Z
Y
X
Z
Z
X
Z
y
y
y
y
With
B
C
Appear 5.2.4-c
O
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So on the other hand, one wishes to have local axis Z in total direction OX [Figure 5.2.4-c], it
vector VECT_Y will depend on the point considered:
(0., 0., 1.) is appropriate except in A (where (0., - 1., 0.) is appropriate)
(0., - 1.0.) is appropriate except out of C (where (0., 0., 1.) is appropriate)
It will thus be necessary in this case to cut out the path in two paths (AB and BC) and to define a VECT_Y
different on each path.
·
identify
USER
: defined by the data of 3 nautical angles (in degrees):
ANGL_NAUT = (
,
,
)
·
identify
CYLINDRICAL
defined by:
ORIGIN = (X, y, Z)
co-ordinates of the origin O of the reference mark
AXE_Z= (oz1, oz2, oz3) co-ordinates of a vector defining axis OZ (axis of
roll).
The command of the components in a cylindrical reference mark is (R,
Z,
).
5.2.5 Operand
TRAC_NOR
/TRAC_NOR
:
only for modelings 2D and 3D.
Determination of the normal trace of a vector or a tensor of command 2: it is the particular case
directional trace obtained when direction
U
be identified with the normal
N
instead of
postprocessing
.
5.2.6 Operands
TRAC_DIR/DIRECTION
/TRAC_DIR
:
only for modelings 2D and 3D.
DIRECTION
Determination of the directional trace of a vector
()
v v
=
I
or of a tensor of command 2
()
=
ij
in the direction
()
U U
=
J
; i.e. scalar
v U
K K
or of the vector
ik
K
U
.
Direction
U
is defined by means of the key word
DIRECTION
whose arguments are them
components of the vector
U
data in order X, Y, Z and evaluated in the total reference mark. If
this list then contains only two values, conventionally, the component according to Z of
vector
U
is regarded as null.
5.2.7 Operand
INVARIANT
Postprocessing of a tensor of stress or deformation of command 2 associated the directions
main of the tensor:
()
()
()
()
(
)
()
TRACE
PUT VON_
TRESCA
DETER
Tr
VM
Tr
TR
Max
DET
,
=
=
-




=
-
=
=
=
II
I
ij
ij
I J
I
J
I
1
2
3
2
1
2
3
3
2
1
3
or
with
eigenvalues of
determinant of
or
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5.2.8 Operand
ELEM_PRINCIPAUX
/ELEM_PRINCIPAUX
Determination of the main values of a tensor 2x2 or 3x3d' command 2. They are arranged in
the order ascending their values.
5.2.9 Operands
RESULTANT
/
MOMENT
/
NOT
Determination of the resultant and the moment of a field of torque on the place of postprocessing.
By means of computer, these key words can apply to any field of size but for
that the results have a physical direction, one will have to limit oneself to the fields of nodal forces and
nodal reactions.
In this last case, 2 possibilities arise:
·
the user wants to calculate the resultant of certain components of the field: he will enter behind
the key word
RESULTANT
a list of components to be taken among {
“DX”, “DY”
} in 2D and
{
“DX”, “DY”, “DZ”
} in 3D or structural elements (the resultant of components of
rotations not having a physical direction),
·
the user wants to calculate the resultant and the moment of certain components of the field: it
will enter behind the key words
RESULTANT
and
MOMENT
2 lists of of the same components
length to be taken among
{
“DX”, “DY”, “DZ”
}
behind the key word
RESULTANT
{
“DRX”, “DRY”, “DRZ”
}
behind the key word
MOMENT
Moreover, it will introduce behind the key word
NOT
the list of the co-ordinates of the point by report/ratio to which
moment is evaluated.
If one notes
P
this point and
M
I
the points of postprocessing, the evaluated quantities will be:
·
Resultant:
(
)
F
F
=
=
I
I
M
M
M
I
FX
FY
FZ
I
I
I
,
,
·
Moment:
(
)
m
F
m
=
+
PM
I
I
I
ic
I
where
m
ic
indicate the list of the concentrated moments corresponding to the components of rotation
introduced by the key word
MOMENT
.
m
ic
0.
only in the case of structural elements
(beams, hulls, discrete).
Note:
In continuous mediums, one should not introduce behind
MOMENT
components of translation
who would be regarded as concentrated moments and thus summoned with
true moments.
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6
Nature of postprocessing
6.1 Operand
OPERATION
OPERATION
=
|
“EXTRACTION”
The operation extraction of a field of size makes it possible to recover the values of one or
several components or of quantities derived from these components at the points of the place of
postprocessing.
In the case of an extraction on one
cham_elem
, values of the components extracted from this field
are calculated as follows:
·
if the place of postprocessing is determined by the key words
NODE
or
GROUP_NO
, for
each node the components are realized on all the elements contributing in it
node,
Note:
The moyennations with the nodes of computed fields in local reference marks are not
licit that if the angles between these reference marks are weak. In the contrary case, they do not have
no the direction.
·
if the place of postprocessing is a path confused with one or more edges of
mesh, one makes the average on the elements having an intersection of nonnull measurement
with the path.
This can lead, for the same place of postprocessing, with appreciably different results:
N1
N2
N3
N4
N5
If the place of postprocessing is defined by
NODE
= (N1, N2, N3, N4, N5), the values are realized
on all the elements of the mesh above.
If the place of postprocessing is defined as being the segment of N1 origin and end N5, them
values will be realized on the hatched elements.
In the case of quadratic elements (presence of nodes mediums), the average with the nodes nodes
can lead to more important weights of certain elements (function of cutting) per report/ratio
with the nodes mediums which realize on 2 elements (thus of the same weight). One can thus be in
presence of oscillations between the values at the tops and the mediums.
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|
“AVERAGE”
This operation is limited to 6 components of field at the same time. Being given a field
scalar
U
(typically a component of a size), the operation
“AVERAGE”
calculate
following quantities (
L
indicating the length of the place of postprocessing
C
considered):
()
()
MOMENT_0
MOMENT_1
MINIMUM
MAXIMUM
MOYE_ INT
MOMENT_0
MOMENT_1
MOYE_ EXT.
MOMENT_0
MOMENT_1
=
=
=
=
=
=
1
12
2
1
2
1
2
2
L
L
L
C
C
C
C
S
ds
S
S
ds
Min
Max
U
U
U
U
-




-
+
It is important that the place of postprocessing is traversed in a direction. If one uses a group of
nodes, one will take care to reorder the nodes, by using the control
DEFI_GROUP
OPTION
'
NOEUD_ORDO
', [U4.22.01]. Thus, the curvilinear X-coordinate is defined since the node origin of the group, in
according to the broken line consisted the nodes.
The integrals above are evaluated by supposing U linear between two nodes. Thus, while noting
I
U
values of the field to the nodes (numbered by
NR
I
,…
1
=
) of X-coordinate
I
S
, one a:
(
) (
) (
)
-
=
+
+
+
-
-
=
1
1
1
1
1
MOMENT_0
2
1
NR
I
I
I
I
I
NR
S
S
S
S
U
U
(
)
(
) (
)
(
)
(
) (
) (
) (
)
-
=
+
+
-
=
+
+
+
+
+
-
-
-
+
+
+
-
-
=
1
1
1
1
1
1
1
1
1
1
1
2
1
MOMENT_1
3
2
2
2
NR
I
I
I
I
I
NR
NR
I
I
I
I
I
I
I
I
I
NR
S
S
S
S
S
S
S
S
S
S
S
S
U
U
U
U

6.2 Operand
MOYE_NOEUD
Key word allowing for choice of an impression detailed or realized in a point. This key word is not
significant that for the sizes of the type
cham_elem
and for the operation
EXTRACTION
.
MOYE_NOEUD = “YES”
For each point of postprocessing, the displayed value of a component or a quantity
deduced is obtained like average of the values given by each convergent mesh in it
not. The way of making the average is the same one as for the fields -
NOEU
- calculated by
CALC_NO
[U4.81.02].
MOYE_NOEUD = “NOT”
The list of the values obtained for each convergent mesh at the point of postprocessing is
displayed.
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7
Operands of access and impression of the contents of the tables
created by
POST_RELEVE_T
7.1
Principles of addressing of the contents of the tables
The recordings of values are arranged in concepts of the type
count
. The tables are Bi-subscripted.
first index is the parameter, the aforementioned is defined by the operator according to the action planned (see
[Table 7.4-a]). The second index is the variable, the aforementioned is defined by the user. Variables
can be the names of the nodes, the names of the components or the numbers of the points of
postprocessing along a path.
7.2 Operand
ENTITLE
ENTITLE
=
matable
[K8]
Name of the table of recordings of values.
7.3 Operand
TITRATE
TITRATE = title
Titrate that one wants to give to the table recordings of values. For more details, to see [U4.03.01].
7.4
Definition of the parameters and the variables
With the impression on the file
RESULT
, each parameter is printed on a column, the variables
being printed line by line.
Variable key words Parameters
OPERATION
=
“AVERAGE”
(key words
TOUT_CMP
,
NOM_CMP
)
(example [§9.2.2])
MOMENT_0
MOMENT_1
MINIMUM
MAXIMUM
MOYE_INT
MOYE_EXT
Names of the components
OPERATION
=
“EXTRACTION”
(key word
IMPR_NOEUD
=
“YES”
)
-
Names of the nodes if
NODE
or
GROUP_NO
Number of the point if
PATH
OPERATION
=
“EXTRACTION”
(key word
IMPR_NOEUD
=
“NOT”
)
-
Names of the concaténés nodes
with the names of the meshs if
NODE
or
GROUP_NO
Number of the point if
PATH
TOUT_CMP
NOM_CMP
(examples [§9.1] and [§9.2.1])
ABSC_CURV
COOR_X
COOR_Y
COOR_Z
follow-up of the name of
components
-
NOM_CMP
TRAC_NOR TRAC_DIR
(examples [§9.3] and [§9.4])
ABSC_CURV
COOR_X
COOR_Y
COOR_Z
DIR_1
DIR_2 DIR_3
-
INVARIANT
(example [§9.5])
ABSC_CURV
COOR_X
COOR_Y
COOR_Z
VON_MIS
TRESCA
TRACE
DETER
-
ELEM_PRINCIPAUX
(example [§9.6])
ABSC_CURV
COOR_X
COOR_Y
COOR_Z
VAL_PR_1 VAL_PR_2
VAL_PR_3
-
RESULTANT MOMENT
(examples [§9.7] and [§9.8])
Names of the components
-
IDENTIFY = “POLAR”
(example [§9.9])
ABSC_CURV
COOR_X
COOR_Y
COOR_Z
follow-up of the name of
components
-
Table 7.4-a
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8
Phase of checking
It is checked that the headings all are different.
8.1
During the execution
This phase checks the coherence of the arguments between them. It relates to all the occurrences of
key word factor
ACTION
. One distinguishes 2 groups from checks.
The first group is common to the arguments of the key word
CHAM_GD
and
RESULT
(which is excluded
mutually) and is reduced to the following checks:
·
acceptability of the components:
it is checked that the required components are quite present at the catalog of description
size to be treated,
·
coherence of the mesh:
it is checked that the mesh on which the size was calculated is the mesh on which is
built the place of postprocessing (case of the key word
PATH
) or contains the nodes passed in
argument (case of the key words
NODE
and/or
GROUP_NO
).
The second group is specific to the key word
RESULT
, and is reduced to the checks:
·
checking of the acceptability of the field symbolic system:
one makes sure that the field symbolic system argument of the key word
NOM_CHAM
exist well for
type of concept
result
argument of the key word
RESULT
,
·
existence of at least a structure of data for the field symbolic system to treat.
At the exit of the phase of checking, in production run the following alternative arises:
·
all occurrences of
ACTION
are correct and the operations are launched,
·
at least an occurrence of
ACTION
is incorrect, then a fatal error message is
product with stop of the control. Information informs about the nature of the errors and
the means of correcting them.
8.2
During the processing
A new filter of checking is presented but never causes the stop of the control. This filter
is reduced to the following checks:
·
existence of the structure of data indicated by
CHAM_GD
or
RESULT
and one of the words
keys giving access in a structure of data
RESULT
.
In the event of failure a message is transmitted and the following occurrence is treated,
·
in the case of a calculation of tensorial invariants, one checks that the object of the processing indicates well
a tensor of command 2,
·
in the case of a calculation of average or a request for extraction of values, one checks that
the components to be treated were indeed calculated on the place of postprocessing. In the event of failure
of this checking, a message details the components nonavailable according to
meshs or nodes of the place of postprocessing.
If this last filter does not detect any impossibility of calculation, postprocessing is launched
and the results are inserted in the table.
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9 Examples
The examples which follow apply to the same physical problem (case test SHLV100G).
9.1 Key words
“EXTRACTION”
/
“AVERAGE”
9.1.1
“EXTRACTION”

9.1.1.1 Controls
# extraction of the CMP of the tensor of the stresses on a list of nodes
#
T2 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_2”,
NODE = (“N1”, “N347”, “N21”, “N432”, “N39”, “N229”),
CHAM_GD = SIGMA,
NOM_CMP = (“SIXX”, “SIYY”, “SIZZ”, “SIXY”),
OPERATION = “EXTRACTION”))

9.1.1.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
EXTRACTION TENSOR FORCED
TOTAL REFERENCE MARK
PATH OF NODES
T2 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_2 RESULTING FROM THE T2 TABLE
ABSC_CURV COOR_X COOR_Y COOR_Z SIXX SIYY SIZZ SIXY
N1 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 - 9.96843E-01 1.66549E+00 2.00595E-01 - 2.97371E-04
N347 1.00000E-01 2.00000E-01 0.00000E+00 0.00000E+00 - 2.39383E-04 6.67596E-01 2.00207E-01 - 2.65146E-05
N21 2.14214E-01 9.23880E-02 3.82683E-02 0.00000E+00 - 6.06951E-01 1.27563E+00 2.00603E-01 - 9.41280E-01
N432 3.14214E-01 1.84776E-01 7.65367E-02 0.00000E+00 9.75617E-02 5.69793E-01 2.00206E-01 - 2.36114E-01
N39 4.28428E-01 7.07107E-02 7.07107E-02 0.00000E+00 3.34029E-01 3.34628E-01 2.00597E-01 - 1.33117E+00
N229 5.28428E-01 1.41421E-01 1.41421E-01 0.00000E+00 3.33660E-01 3.33711E-01 2.00211E-01 - 3.33924E-01
9.1.2
“AVERAGE”

9.1.2.1 Controls
# average of the CMP of the tensor of the stresses on a list of nodes
#
T3 = POST_RELEVE_T (ACTION=_F (ENTITLES = “EX_3”,
NODE = (“N1”, “N347”, “N21”, “N432”, “N39”, “N229”),
CHAM_GD = SIGMA,
NOM_CMP = (“SIXX”, “SIYY”, “SIZZ”, “SIXY”),
OPERATION = “AVERAGE”,),)

9.1.2.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
AVERAGE TENSOR FORCED
TOTAL REFERENCE MARK
PATH CONNECTING THE NODES:
N1 N347 N21 N432 N39 N229
CONCEPT T3 OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_3 RESULTING FROM TABLE T3
MOMENT_0 MOMENT_1 MINIMUN MAXIMUN MOYE_INT MOYE_EXT
SIXX - 9.83430E-02 1.17015E+00 - 9.96843E-01 3.34029E-01 - 6.83419E-01 4.86733E-01
SIYY 7.66354E-01 - 1.17020E+00 3.33711E-01 1.66549E+00 1.35145E+00 1.81254E-01
SIZZ 2.00403E-01 - 1.44941E-05 2.00206E-01 2.00603E-01 2.00411E-01 2.00396E-01
SIXY - 5.40089E-01 - 1.03327E+00 - 1.33117E+00 - 2.65146E-05 - 2.34562E-02 - 1.05672E+00
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9.2 Operands
PATH
/
TRAC_NOR
9.2.1 Controls
# traces normal A a segment of the tensor of the stresses
#
T4 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_4”,
PATH = AB,
CHAM_GD = SIGMA,
NOM_CMP = (“SIXX”, “SIYY”, “SIZZ”, “SIXY”),
TRAC_NOR = “YES”,
OPERATION = “EXTRACTION”,))
9.2.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
FORCED EXTRACTION TRACE_NORMALE TENSOR
IDENTIFY LOCAL
SEGMENT OF STRAIGHT LINE
ORIGIN: (1.000000E-01, 0.000000E+00)
END: (2.000000E-01, 0.000000E+00)
CURVILINEAR X-COORDINATES: (0.000000E+00, 1.000000E-01)
T4 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_4 RESULTING FROM THE T4 TABLE
ABSC_CURV COOR_X COOR_Y COOR_Z DIR_1 DIR_2 DIR_3
00000001 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 2.97371E-04 - 1.66549E+00 0.00000E+00
00000002 9.99995E-03 1.10000E-01 0.00000E+00 0.00000E+00 1.65667E-04 - 1.43451E+00 0.00000E+00
00000003 1.99999E-02 1.20000E-01 0.00000E+00 0.00000E+00 1.49649E-04 - 1.25935E+00 0.00000E+00
00000004 2.99999E-02 1.30000E-01 0.00000E+00 0.00000E+00 1.28087E-04 - 1.12286E+00 0.00000E+00
00000005 3.99999E-02 1.40000E-01 0.00000E+00 0.00000E+00 1.10722E-04 - 1.01444E+00 0.00000E+00
00000006 4.99999E-02 1.50000E-01 0.00000E+00 0.00000E+00 9.64779E-05 - 9.26905E-01 0.00000E+00
00000007 6.00000E-02 1.60000E-01 0.00000E+00 0.00000E+00 8.49028E-05 - 8.55210E-01 0.00000E+00
00000008 7.00000E-02 1.70000E-01 0.00000E+00 0.00000E+00 7.51468E-05 - 7.95754E-01 0.00000E+00
00000009 7.99999E-02 1.80000E-01 0.00000E+00 0.00000E+00 6.71302E-05 - 7.45902E-01 0.00000E+00
00000010 8.99999E-02 1.90000E-01 0.00000E+00 0.00000E+00 6.04973E-05 - 7.03691E-01 0.00000E+00
00000011 1.00000E-01 2.00000E-01 0.00000E+00 0.00000E+00 2.65146E-05 - 6.67596E-01 0.00000E+00
9.3 Operands
TRAC_DIR
/
DIRECTION
9.3.1 Controls
# traces directional data by a vector
#
T5 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_5”,
PATH = AB,
CHAM_GD = SIGMA,
NOM_CMP = (“SIXX”, “SIYY”, “SIZZ”, “SIXY”),
TRAC_DIR
= “YES”,
DIRECTION = (1., 0., 0. ),
OPERATION = “EXTRACTION”),)
9.3.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
FORCED EXTRACTION TRACE_DIRECTIONELLE TENSOR
TOTAL REFERENCE MARK
SEGMENT OF STRAIGHT LINE
ORIGIN: (1.000000E-01, 0.000000E+00)
END: (2.000000E-01, 0.000000E+00)
CURVILINEAR X-COORDINATES: (0.000000E+00, 1.000000E-01)
T5 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_5 RESULTING FROM THE T5 TABLE
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:
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ABSC_CURV COOR_X COOR_Y COOR_Z DIR_1 DIR_2 DIR_3
00000001 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 - 9.96843E-01 - 2.97371E-04 0.00000E+00
00000002 9.99995E-03 1.10000E-01 0.00000E+00 0.00000E+00 - 7.66170E-01 - 1.65667E-04 0.00000E+00
00000003 1.99999E-02 1.20000E-01 0.00000E+00 0.00000E+00 - 5.91136E-01 - 1.49649E-04 0.00000E+00
00000004 2.99999E-02 1.30000E-01 0.00000E+00 0.00000E+00 - 4.54764E-01 - 1.28087E-04 0.00000E+00
00000005 3.99999E-02 1.40000E-01 0.00000E+00 0.00000E+00 - 3.46463E-01 - 1.10722E-04 0.00000E+00
00000006 4.99999E-02 1.50000E-01 0.00000E+00 0.00000E+00 - 2.59035E-01 - 9.64779E-05 0.00000E+00
00000007 6.00000E-02 1.60000E-01 0.00000E+00 0.00000E+00 - 1.87445E-01 - 8.49028E-05 0.00000E+00
00000008 7.00000E-02 1.70000E-01 0.00000E+00 0.00000E+00 - 1.28092E-01 - 7.51468E-05 0.00000E+00
00000009 7.99999E-02 1.80000E-01 0.00000E+00 0.00000E+00 - 7.83393E-02 - 6.71302E-05 0.00000E+00
00000010 8.99999E-02 1.90000E-01 0.00000E+00 0.00000E+00 - 3.62263E-02 - 6.04973E-05 0.00000E+00
00000011 1.00000E-01 2.00000E-01 0.00000E+00 0.00000E+00 - 2.39383E-04 - 2.65146E-05 0.00000E+00
9.4 Operand
INVARIANT
9.4.1 Controls
# invariants of the tensor of the stresses
#
T6 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_6”,
PATH = AB,
CHAM_GD = SIGMA,
INVARIANT = “YES”,
OPERATION = “EXTRACTION”),)
9.4.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
EXTRACTION INVARIANTS TENSOR FORCED
TOTAL REFERENCE MARK
SEGMENT OF STRAIGHT LINE
ORIGIN: (1.000000E-01, 0.000000E+00)
END: (2.000000E-01, 0.000000E+00)
CURVILINEAR X-COORDINATES: (0.000000E+00, 1.000000E-01)
T6 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_6 RESULTING FROM THE T6 TABLE
ABSC_CURV COOR_X COOR_Y COOR_Z VON_MIS TRESCA TRACES DETER
00000001 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 2.30953E+00 2.66234E+00 8.69246E-01 - 3.33035E-01
00000002 9.99995E-03 1.10000E-01 0.00000E+00 0.00000E+00 1.91053E+00 2.20068E+00 8.68843E-01 - 2.20368E-01
00000003 1.99999E-02 1.20000E-01 0.00000E+00 0.00000E+00 1.60813E+00 1.85049E+00 8.68679E-01 - 1.49235E-01
00000004 2.99999E-02 1.30000E-01 0.00000E+00 0.00000E+00 1.37278E+00 1.57762E+00 8.68524E-01 - 1.02346E-01
00000005 3.99999E-02 1.40000E-01 0.00000E+00 0.00000E+00 1.18613E+00 1.36091E+00 8.68375E-01 - 7.04321E-02
00000006 4.99999E-02 1.50000E-01 0.00000E+00 0.00000E+00 1.03570E+00 1.18594E+00 8.68232E-01 - 4.81069E-02
00000007 6.00000E-02 1.60000E-01 0.00000E+00 0.00000E+00 9.12789E-01 1.04266E+00 8.68094E-01 - 3.21138E-02
00000008 7.00000E-02 1.70000E-01 0.00000E+00 0.00000E+00 8.11140E-01 9.23846E-01 8.67961E-01 - 2.04163E-02
00000009 7.99999E-02 1.80000E-01 0.00000E+00 0.00000E+00 7.26193E-01 8.24241E-01 8.67831E-01 - 1.17024E-02
00000010 8.99999E-02 1.90000E-01 0.00000E+00 0.00000E+00 6.54545E-01 7.39918E-01 8.67704E-01 - 5.10453E-03
00000011 1.00000E-01 2.00000E-01 0.00000E+00 0.00000E+00 5.93563E-01 6.67835E-01 8.67563E-01 - 3.19954E-05
9.5 Operand
ELEM_PRINCIPAUX
9.5.1 Controls
# main values of the tensor of the stresses
#
T7 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_7”,
PATH = AB,
CHAM_GD = SIGMA,
ELEM_PRINCIPAUX = “YES”,
OPERATION = “EXTRACTION”,))
background image
Code_Aster
®
Version
8.2
Titrate:
Operator
POST_RELEVE_T
Date:
22/02/06
Author (S):
X. DESROCHES, L. VIVAN
Key
:
U4.81.21-G1
Page:
21/22
Instruction manual
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
9.5.2 Result
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
EXTRACTION TENSOR FORCED
TOTAL REFERENCE MARK
SEGMENT OF STRAIGHT LINE
ORIGIN: (1.000000E-01, 0.000000E+00)
END: (2.000000E-01, 0.000000E+00)
CURVILINEAR X-COORDINATES: (0.000000E+00, 1.000000E-01)
T7 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_7 RESULTING FROM THE T7 TABLE
ABSC_CURV COOR_X COOR_Y COOR_Z VAL_PR_1 VAL_PR_2 VAL_PR_3
00000001 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 - 9.96844E-01 2.00594E-01 1.66549E+00
00000002 9.99995E-03 1.10000E-01 0.00000E+00 0.00000E+00 - 7.66170E-01 2.00501E-01 1.43451E+00
00000003 1.99999E-02 1.20000E-01 0.00000E+00 0.00000E+00 - 5.91137E-01 2.00463E-01 1.25935E+00
00000004 2.99999E-02 1.30000E-01 0.00000E+00 0.00000E+00 - 4.54764E-01 2.00428E-01 1.12286E+00
00000005 3.99999E-02 1.40000E-01 0.00000E+00 0.00000E+00 - 3.46464E-01 2.00393E-01 1.01444E+00
00000006 4.99999E-02 1.50000E-01 0.00000E+00 0.00000E+00 - 2.59035E-01 2.00361E-01 9.26905E-01
00000007 6.00000E-02 1.60000E-01 0.00000E+00 0.00000E+00 - 1.87445E-01 2.00329E-01 8.55210E-01
00000008 7.00000E-02 1.70000E-01 0.00000E+00 0.00000E+00 - 1.28092E-01 2.00298E-01 7.95754E-01
00000009 7.99999E-02 1.80000E-01 0.00000E+00 0.00000E+00 - 7.83395E-02 2.00268E-01 7.45902E-01
00000010 8.99999E-02 1.90000E-01 0.00000E+00 0.00000E+00 - 3.62266E-02 2.00239E-01 7.03691E-01
00000011 1.00000E-01 2.00000E-01 0.00000E+00 0.00000E+00 - 2.39623E-04 2.00207E-01 6.67596E-01
9.6 Operand
RESULTANT
9.6.1 Controls
# calculation of the resultants of the CMP quoted on a group_no
T8 =
POST_RELEVE_T (ACTION = _F
(
RESULT
=
resu,
NOM_CHAM=' FORC_NODA',
ENTITLE
=
“RESULTING”,
IDENTIFY
=
“TOTAL”,
OPERATION
=
“EXTRACTION”,
GROUP_NO
=
“known”,
RESULTANTE=
(“DX”, “DY”, “DZ”),
))
9.6.2 Result
---POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER
: 1
NUME_ORDRE:
1
FIELD WITH THE NODES OF REFERENCE SYMBOL FORC_NODA
NUMBER Of ODRDRE: 1 INST: 0.00000E+00
RESULTANTE_MOMENT DISPLACEMENTS
IDENTIFY
TOTAL
PATH CONNECTING THE NODES:
N69
N70 N71 N87 N88 N89 N97 N98
T8 CONCEPT OF TABL_POST_RELE CALCULATES FROM CONCEPT RESU COUNTS:
RESULTAN_1 RESULTING
OF
COUNT
T8 INST:0.00000E+00
RESULTANT - 1.000000000E+01
- 2.724281611E-11 7.218027734E-11
9.7 Operands
MOMENT
and
NOT
9.7.1 Controls
# calculation of the resultants and the moments of the CMP quoted on a group_no
T9 =
POST_RELEVE_T (ACTION = _F
(
RESULT
=
resu,
NOM_CHAM=' FORC_NODA',
ENTITLE
=
“RESULTANTE-MOMENT”,
IDENTIFY
=
“TOTAL”,
OPERATION
=
“EXTRACTION”,
GROUP_NO
=
“known”,
MOMENT
=
(“DRX”, “DRY”, “DRZ”), POINT=
(
0., 0., 0.)
,)
)
background image
Code_Aster
®
Version
8.2
Titrate:
Operator
POST_RELEVE_T
Date:
22/02/06
Author (S):
X. DESROCHES, L. VIVAN
Key
:
U4.81.21-G1
Page:
22/22
Instruction manual
U4.8- booklet: Postprocessing and dedicated analyzes
HT-62/06/004/A
9.7.2 Result
---POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER
:
1
NUME_ORDRE
:
1
FIELD WITH THE NODES OF REFERENCE SYMBOL FORC_NODA
NUMBER Of ODRDRE: 1 INST: 0.00000E+00
RESULTANTE_MOMENT
DISPLACEMENTS
MOMENT COMPARED TO THE POINT: 0.00000E+00
0.00000E+00
0.00000E+00
IDENTIFY
TOTAL
PATH CONNECTING THE NODES:
N69
N70
N71
N87
N88
N89
N97
N98
T9 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM CONCEPT RESU COUNTS:
RESULTAN_1
EXIT
OF
COUNT
T9
INST:
0.00000E+00
RESULT_X RESULT_Y RESULT_Z MOMENT_X
RESULTANT
- 1.000000000E+01 - 2.724281611E-11 7.218027734E-11
- 9.744077883E-
12
RESULTANT
- 2.000000000E+00
- 3.000000000E+00
9.8 Operand
IDENTIFY
: '
POLAIRE'
9.8.1 Controls
# impression of the tensor of the stresses in POLAR reference mark on the arc AC
#
T10 = POST_RELEVE_T (ACTION = _F (
ENTITLE = “ex_10”,
PATH = AC,
IDENTIFY = “POLAR”,
CHAM_GD = SIGMA,
NOM_CMP = (“SIXX”, “SIYY”, “SIZZ”, “SIXY”),
OPERATION = “EXTRACTION”),)
9.8.2 Results
--- POST_TRAITEMENT NUMBER: 1 - FIELD NUMBER: 1
FIELD BY ELEMENT WITH THE NODES
EXTRACTION TENSOR FORCED
POLAR REFERENCE MARK
ARC OF CIRCLE
CENTER: (0.000000E+00, 0.000000E+00)
RADIUS: 1.000000E-01
ANGULAR SECTOR: (0.000000E+00, 2.250000E+01)
T10 CONCEPT OF THE TYPE TABL_POST_RELE CALCULATES FROM THE CONCEPT SIGMA
COUNT: EX_10 RESULTING FROM THE T10 TABLE
ABSC_CURV COOR_X COOR_Y COOR_Z SIXX SIYY SIZZ SIXY
00000001 0.00000E+00 1.00000E-01 0.00000E+00 0.00000E+00 - 9.80501E-01 1.64914E+00 2.00593E-01 2.07951E-01
00000002 7.85455E-03 9.96917E-02 7.84647E-03 0.00000E+00 - 9.88675E-01 1.65731E+00 2.00591E-01 1.03814E-01
00000003 1.57084E-02 9.87688E-02 1.56438E-02 0.00000E+00 - 9.88675E-01 1.65730E+00 2.00588E-01 1.03815E-01
00000004 2.35622E-02 9.72369E-02 2.33448E-02 0.00000E+00 - 9.88674E-01 1.65730E+00 2.00589E-01 1.03810E-01
00000005 3.14159E-02 9.51056E-02 3.09017E-02 0.00000E+00 - 9.88673E-01 1.65732E+00 2.00594E-01 1.03813E-01
00000006 3.92699E-02 9.23880E-02 3.82683E-02 0.00000E+00 - 9.96843E-01 1.66550E+00 2.00598E-01 - 3.06827E-04