background image
Code_Aster
®
Version
7.4
Titrate:
Operator DEFI_TEXTURE
Date:
20/12/04
Author (S):
J.M. PROIX,
S. TAHERI
Key
:
U4.43.05-C
Page
:
1/4
Instruction manual
Booklet U4.4- Modeling
HT-66/04/004/A
Organization (S):
EDF-R & D/AMA














Instruction manual
U4.4- booklet: Modeling
Document: U4.43.05



Operator
DEFI_TEXTURE








1 Goal
To define, for a material CFC, crystallographic orientations and their system of slip.
This operator creates a concept of the tabl_texture type which is necessary to the characterization of one
law of polycrystalline behavior (POLY_CFC) in operator DEFI_MATERIAU.
For the definition of the metallurgical data and the modeling which is made by it, one will refer to
document [R5.03.13].
background image
Code_Aster
®
Version
7.4
Titrate:
Operator DEFI_TEXTURE
Date:
20/12/04
Author (S):
J.M. PROIX,
S. TAHERI
Key
:
U4.43.05-C
Page
:
2/4
Instruction manual
Booklet U4.4- Modeling
HT-66/04/004/A
2 Syntax

name [tabl_texture] = DEFI_TEXTURE (

SYST_GLISSEMENT
= (
_F (
NR = (xN1, xN1, xN1, xN2, xN2, xN2,…, xN4, xN4, xN4, xN4), [l_R]
L = (xL1, xL2,… xL12), [l_R]
),
_F (
NR = (yN1, yN1, yN1, yN2, yN2, yN2,…, yN4, yN4, yN4, yN4), [l_R]
L = (yL1, yL2,… yL12), [l_R]
),
_F (
NR = (zN1, zN1, zN1, zN2, zN2, zN2,…, zN4, zN4, zN4, zN4), [l_R]
L = (zL1, zL2,… zL12), [l_R]
),),

PLAN = (
_F (
ANGL_NAUT
=
(
a11,
a12,
a13),
[l_R]
PROPORTION = val1
[R]
),
_F
(.......),
_F (
ANGL_NAUT
=
(
a14,
a2u,
a3u),
[l_R]
PROPORTION = valn
[R]
),),

TITRATE
:
`definition
of
texture'
[KN]

)
background image
Code_Aster
®
Version
7.4
Titrate:
Operator DEFI_TEXTURE
Date:
20/12/04
Author (S):
J.M. PROIX,
S. TAHERI
Key
:
U4.43.05-C
Page
:
3/4
Instruction manual
Booklet U4.4- Modeling
HT-66/04/004/A
3 Operands
3.1 Word
key
PLAN
PLAN
:
An occurrence of the key word PLANE factor makes it possible to lay down a crystallographic orientation in
to leave the data:
·
of the three nautical angles laying down the orientation of the crystal compared to the reference mark
total,
·
and of the proportion of the crystals of this orientation.
3.1.1 Operand
ANGL_NAUT
ANGL_NAUT: a1i, a2i, a3i
Defines the three nautical angles compared to the total reference mark for the ième orientation
crystallographic. This is to be as many repeated once as of orientations present.
The maximum number of orientation is fixed at 40 in the source.
3.1.2 Operand
PROPORTION
PROPORTION: vali
The proportion of the crystals defines, of which orientation laid down above, compared to the whole of
crystals. This is to be repeated of as many time as of orientations present. The sum of
well informed proportions must be equal to 1.
3.2 Word
key
SYST_GLISSEMENT
SYST_GLISSEMENT
:
The key word factor SYST_GLISSEMENT makes it possible to define the whole of the plans and the directions
of slip.
Currently, only the structures of the Cubiques type to Centered Faces are possible. That
mean, that SYST_GLISSEMENT must necessarily define four slip surfaces and three
directions of slip for each one of these plans.
In fact, one directly defines the whole of all the directions of slip (thus 12 on the whole
in the case CFC) and, for each directions of slip, one defines (by his normal vector) it
slip surface which is associated for him (either 12 also in case CFC).
The complete syntax of SYST_GLISSEMENT is thus necessarily, for a structure CFC:
SYST_GLISSEMENT =
(
NR = (1., 1., 1., 1., 1., 1., - 1., - 1., - 1., - 1., - 1., - 1.),
L = (- 1., 0., - 1., - 1., 0., 1., 0., 1., 1., - 1., 1., 0.)
)
(
NR = (1., 1., 1., - 1., - 1., - 1., 1., 1., 1., - 1., - 1., - 1.),
L = (0., - 1., 1., 0., 1., 1., - 1., 1., 0., 1., 0., 1.)
)
(
NR = (1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.),
L = (1., 1., 0., 1., 1., 0., 1., 0., 1., 0., 1., 1.)
)
One specifies however below the general layout of the operands NR and L.
background image
Code_Aster
®
Version
7.4
Titrate:
Operator DEFI_TEXTURE
Date:
20/12/04
Author (S):
J.M. PROIX,
S. TAHERI
Key
:
U4.43.05-C
Page
:
4/4
Instruction manual
Booklet U4.4- Modeling
HT-66/04/004/A
3.2.1 Operand
NR
NR = (xN1, xN1, xN1, xN2, xN2, xN2,…, xN4, xN4, xN4, xN4)
Values: xN1,…, xN4, are projections on axis OX of the crystal, of the normal vectors with
all slip surfaces. The values yNi and zNi answer a similar definition for
projections on axes OY and OZ of the crystal. The figure below shows a slip surface
with the associated normal and the 3 associated directions of slip for CFC.

























3.2.2 Operand
L
L = (xL1, xL2,…, xL12)
Values: xL1,… xL12, is projections on axis OX of the crystal of the 12 directions of
slips for the 4 slip surfaces. The first 3 values being projections of the 3
directions of slips of the foreground defined by xN1 yN1 and zN1 under NR.
The values yLi and zLi answer a similar definition for projections on axes OY
and OZ of the crystal.
3.3 Word
key
TITRATE
TITRATE
Titrate that the user wants to see appearing in the structure of data tabl_texture.
y
C
X
With
xL3, yL3, zL3
B
xL2, yL2, zL2
xL1, yL1, zL1
normal in the ABC plan (
xN1, yN1, zN1
)
Z