Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
mechanics
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER
Key
:
U3.13.05-C
Page
:
1/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
Organization (S):
EDF-R & D/AMA, DeltaCAD
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
U3.13.05 document
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
Summary:
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
(Phenomenon:
MECHANICS
) correspond to
finite elements whose meshs supports are surface.
The suffix _SI means: Under - Integrated: the integration of the terms relating to the laws of behavior is done
reduced way (diagram of points of Gauss of a nature less low than modeling with complete integration).
The assumptions of modeling are as follows:
·
AXIS_SI
for the axisymetry (mode 0 of Fourier) according to the axis of
Y
,
·
D_PLAN_SI
for the plane deformations,
·
C_PLAN_SI
for the plane stresses.
This document describes for modelings:
·
degrees of freedom carried by the finite elements which support modeling,
·
the related meshs supports,
·
supported loadings,
·
nonlinear possibilities,
·
case-tests implementing modelings.
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
mechanics
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER
Key
:
U3.13.05-C
Page
:
2/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
1 Discretization
1.1
Degrees of freedom
Modeling
Degrees of freedom
(with each node node)
AXIS_SI
DX
: corresponds to radial displacement
DY
: corresponds to longitudinal displacement
D_PLAN_SI
DX
: following displacement
X
DY
: following displacement
Y
C_PLAN_SI
DX
: following displacement
X
DY
: following displacement
Y
1.2
Net support of the matrices of rigidity
The meshs support of the finite elements can be triangles or quadrangles. Elements
are isoparametric. Only the element which is pressed on mesh QUAD8 under is integrated.
Modelings Nets
Interpolation integration
AXIS_SI
D_PLAN_SI
C_PLAN_SI
TRIA3
QUAD4
TRIA6
QUAD8
QUAD9
Linear
Bilinear
Quadratic
Serendip
Biquadratic
complete
reduced
complete
reduced
complete
1.3
Net support of the loadings
Modelings Nets
Interpolation
AXIS_SI
D_PLAN_SI
C_PLAN_SI
SEG2
SEG3
Linear
or
Quadratic
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
mechanics
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER
Key
:
U3.13.05-C
Page
:
3/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
2 Loadings
supported
The loadings available are as follows:
·
TEMP_CALCULEE
Allows to apply a thermal loading of origin.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
SECH_CALCULEE
Allows to apply a loading obtained starting from fields of drying.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
HYDR_CALCULEE
Allows to apply a loading obtained starting from fields of hydration and temperatures.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
PRES_CALCULEE
Allows to apply a pressure resulting from external software.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
EPSA_CALCULEE
Allows to apply a loading of anelastic deformation.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
EPSI_INIT
Allows to apply a loading of initial deformation.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
GRAVITY
Allows to define the acceleration and the direction of gravity.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
ROTATION
Allows to define a rotational speed and the direction of the vector of rotation.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
CONTACT
Allows to define the areas subjected to conditions of contact.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
FORCE_CONTOUR
Allows to define linear forces at the edge of a field.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
FORCE_INTERN
Allows to define voluminal forces.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
·
PRES_REP
Allows to apply a pressure.
Supported modelings:
AXIS_SI
,
C_PLAN_SI
,
D_PLAN_SI
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS_SI
,
D_PLAN_SI
,
C_PLAN_SI
mechanics
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER
Key
:
U3.13.05-C
Page
:
4/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
3 Possibilities
non-linear
3.1
Laws of behaviors
Laws of behaviors (model conventional, model buildings with damage, models
for the concrete and the grounds,…), usable under
COMP_INCR
or under
COMP_ELAS
in
STAT_NON_LINE
and
DYNA_NON_LINE,
under the key word
RELATION,
are described in details in the document
“Behavior nonlinear” [U4.51.11].
3.2 Deformations
Deformations usable under
COMP_INCR
or under
COMP_ELAS
in
STAT_NON_LINE
and
DYNA_NON_LINE
, under the key word
DEFORMATION
, are described in details in the document
“Behavior nonlinear” [U4.51.11].
4
Examples of implementation: case-tests
·
AXIS_SI
Statique
non-linear
SSNA113A [V6.01.113]: Analyze of an axisymmetric test-tube notched with a law of
behavior of the type
“VISC_ISOT_TRAC”
subjected two-speed of loading.
Nonlinear Dynamique
SDNV103B [V5.03.103]: Impact of a bar of Taylor: analyze impact rubbing of one
bar elastoplastic on a rigid solid mass. Modeling includes/understands: contact, friction,
elastoplasticity and great deformations.
·
D_PLAN_SI
Statique
non-linear
SSNP123A [V6.03.123]: Analyze of a notched rectangular plate consisted of one
elastoplastic material with isotropic work hardening, subjected to a traction at its ends.
Statique
non-linear
CENTE01A [V1.02.001]: Probability calculus of rupture per cleavage of a test-tube of
impact strength (test-tube of Charpy) impacted by a hammer at a speed of 5m/s.
SSNP117A [V6.03.117], SSNP122A [V6.03.122]: Model of Rousselier