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Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 1/6
Organization (S): EDF-R & D/AMA
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
U3.14.11 document
Modeling 3d_GRAD_EPSI
Summary:
This document describes for mechanical modeling 3d_GRAD_EPSI:
· degrees of freedom carried by the finite elements which support modeling,
· the related meshs supports,
· supported materials and loadings,
· options of calculations for the elementary matrices and the post processing accessible to the user,
· nonlinear possibilities as well as the options of the breaking process if they exist.
Modeling 3d_GRAD_EPSI (Phénomène: MECANIQUE) corresponds to finite elements of which meshs
supports are voluminal. This modeling enriches the finite elements 3D traditional by mechanics in
adding degrees of freedom of generalized deformations allowing to carry out nonlocal calculations,
regularization utilizing the gradient of the deformations (from where the name of modeling), for more
details to see document [R5.04.02].
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
Code_Aster ®
Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 2/6
1 Discretization
1.1
Degrees of freedom
Modeling
Degrees of freedom
(with each node node)
3d_GRAD_EPSI
DX: displacement following X
DY: displacement following Y
DZ: displacement following Z
EPXX: generalized deformation XX
EPYY: generalized deformation YY
EPZZ: generalized deformation ZZ
EPXY: generalized deformation XY
EPXZ: generalized deformation XZ
EPYZ: generalized deformation YZ
Degrees of freedom
(with each node medium)
DX: displacement following X
DY: displacement following Y
DZ: displacement following Z
1.2
Net support of the matrices of rigidity
The meshs support of the finite elements can be tetrahedrons, pyramids, prisms or
quadratic hexahedrons: displacements are interpolated with a command higher than them
deformations generalized. One indicates in the column interpolation of the table following the couples
of interpolation (displacements/generalized deformations). The elements are isoparametric.
Modeling Nets Interpolation
Remarks
3d_GRAD_EPSI TETRA10
Quadratic/linear
3d_GRAD_EPSI PYRAM13
Quadratic/linear
3d_GRAD_EPSI PENTA15
Bilinear Serendip/
3d_GRAD_EPSI HEXA20
Trilinear Serendip/
1.3
Net support of the loadings
Modeling does not require a boundary condition specific to the generalized deformations
(boundary condition natural), one thus uses for the meshs support of the loading
modeling 3D (Cf. [U3.14.01]).
2
Significance of the symbols
·
corresponds to a functionality available
corresponds to a functionality which could exist but not
currently available
Name of
corresponds to a test implementing the functionality
case-test
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
Code_Aster ®
Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 3/6
3 Materials
supported
DEFI_MATERIAU
3d_GRAD_EPSI
% General elastic Behaviors
ELAS
SSNV157A
% General nonlinear mechanical Behaviors
ECRO_LINE
SSNV157A
BETON_ECRO_LINE
SSNV157D
MAZARS
SSNV157E
The case of the nonlinear operators is approached further.
4 Loadings
supported
The loadings are to be affected on a modeling 3D, Cf. [§1.3].
5 Possibilities
non-linear
This modeling has direction only into non-linear.
5.1
STAT_NON_LINE
COMP_INCR RELATION
3d_GRAD_EPSI
ENDO_FRAGILE
SSNV157A
ENDO_ISOT_BETON
SSNV157D
MAZARS SSNV157E
COMP_INCR DEFORMATION
3d_GRAD_EPSI
“PETIT”
SSNV157A
5.2
DYNA_NON_LINE
COMP_INCR RELATION
3d_GRAD_EPSI
ENDO_FRAGILE
·
ENDO_ISOT_BETON
·
MAZARS
·
COMP_INCR DEFORMATION
3d_GRAD_EPSI
“PETIT”
·
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
Code_Aster ®
Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 4/6
6
Postprocessing of calculation
6.1 Option
CALC_ELEM
3d_GRAD_EPSI
ECIN_ELEM_DEPL
·
ENEL_ELGA
·
ENEL_ELNO_ELGA
·
EPME_ELGA_DEPL
·
EPME_ELNO_DEPL
·
EPOT_ELEM_DEPL
·
EPSI_ELGA_DEPL
·
EPSI_ELNO_DEPL
·
EQUI_ELGA_EPME
·
EQUI_ELGA_EPSI
·
EQUI_ELGA_SIGM
·
EQUI_ELNO_EPME
·
EQUI_ELNO_EPSI
·
EQUI_ELNO_SIGM
·
SIEF_ELGA_DEPL
·
SIEF_ELNO_ELGA
·
VARI_ELNO_ELGA
·
6.2 Option
CALC_CHAM_ELEM
3d_GRAD_EPSI
ECIN_ELEM_DEPL
EPOT_ELEM_DEPL
·
ENEL_ELGA
·
ENEL_ELNO_ELGA
·
EPSI_ELNO_DEPL
·
EQUI_ELGA_EPSI
·
EQUI_ELGA_SIGM
·
EQUI_ELNO_EPSI
·
EQUI_ELNO_SIGM
·
SIEF_ELGA_DEPL
·
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
Code_Aster ®
Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 5/6
6.3 Option
CALC_NO
3d_GRAD_EPSI
FORC_NODA'
·
REAC_NODA'
·
ENEL_NOEU_ELGA'
·
EPME_NOEU_DEPL'
·
EPSI_NOEU_DEPL'
·
EQUI_NOEU_EPME'
·
EQUI_NOEU_EPSI'
·
EQUI_NOEU_SIGM'
·
SIEF_NOEU_ELGA'
·
VARI_NOEU_ELGA'
·
6.4 Option
POST_ELEM
3d_GRAD_EPSI
MASS_INER
·
ENER_POT
·
ENER_CIN
ENER_TOTALE
·
ENER_ELAS
·
Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
Code_Aster ®
Version
6.4
Titrate:
Mechanical modeling 3d_GRAD_EPSI
Date:
27/06/03
Author (S):
P. Key BADEL
:
U3.14.11-A Page
: 6/6
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Handbook of Utilization
U3.14 booklet: Mechanical finite elements 3D
HT-66/03/002/A
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