Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
D_PLAN
,
C_PLAN
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D
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
U3.13.01 document
Modelings
AXIS
,
D_PLAN
,
C_PLAN
Summary:
Modelings
AXIS
,
D_PLAN
,
C_PLAN
(Phenomenon:
MECHANICS
) correspond to finite elements
whose meshs supports are surface.
The assumptions of modeling are as follows:
·
AXIS
for the axisymetry (mode 0 of Fourier) according to the axis of
Y
,
·
D_PLAN
for the plane deformations,
·
C_PLAN
for the plane stresses.
This document described:
·
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
,
D_PLAN
,
C_PLAN
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D
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
DX
: corresponds to radial displacement
DY
: corresponds to longitudinal displacement
D_PLAN
DX
: following displacement
X
DY
: following displacement
Y
C_PLAN
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.
Modelings Nets
Interpolation
AXIS
D_PLAN
C_PLAN
TRIA3
QUAD4
TRIA6
QUAD8
QUAD9
Linear
Bilinear
Quadratic
Serendip
Biquadratic
1.3
Net support of the loadings
Modelings Nets
Interpolation
AXIS
D_PLAN
SEG2
Linear
or
C_PLAN SEG3
Quadratic
2 Loadings
supported
The loadings available are as follows:
·
CONTACT
Allows to define the areas subjected to conditions of contact.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
EPSI_INIT
Allows to apply a loading of initial deformation.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
FORCE_CONTOUR
Allows to define linear forces at the edge of a field.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
FORCE_INTERN
Allows to define voluminal forces.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
D_PLAN
,
C_PLAN
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D
Page
:
3/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
·
GRAVITY
Allows to define the acceleration and the direction of gravity.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
PRES_REP
Allows to apply a pressure.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
TEMP_CALCULEE
Allows to apply a thermal loading of origin.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
SECH_CALCULEE
Allows to apply a loading resulting from fields of drying.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
HYDR_CALCULEE
Allows to apply a loading obtained starting from fields of hydration and temperatures
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
PRES_CALCULEE
Allows to apply a pressure resulting from external software.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
EPSA_CALCULEE
Allows to apply a loading of anelastic deformation.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
·
ROTATION
Allows to define a rotational speed and the direction of the vector of rotation.
Supported modelings:
AXIS
,
C_PLAN
,
D_PLAN
3
Nonlinear possibilities
3.1
Laws of behaviors
Laws of behaviors (model conventional, model buildings with damage, models
for the concrete,…), 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].
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
D_PLAN
,
C_PLAN
mechanics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D
Page
:
4/4
Instruction manual
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A
4
Examples of implementation: case-tests
·
AXIS
Statique
linear
FORMA09B [V7.20.101]: Analyze thermo elastic of a tube right subjected to a cold shock.
SSLS07A [V3.03.007]: Analyze static linear of a thin cylinder subjected to a load
axial uniform.
Nonlinear Statique
SSNL129C [V6.02.129]
: Simulation of a tensile test
: validation of the laws of
behavior
“VISC_ISOT_TRAC”
and
“VISC_ISOT_LINE”
.
Dynamique
linear
SDLS07B [V2.03.007]: Seek Eigen frequencies and modes associated with one
thin spherical envelope.
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, great deformations.
·
D_PLAN
Statique
linear
SSLV100H [V3.04.100]: Analyze of a hollow roll subjected to an internal pressure, in
plane deformations.
Nonlinear Statique
SSNL129B [V6.02.129]
: Simulation of a tensile test
: validation of the laws of
behavior
“VISC_ISOT_TRAC”
and
“VISC_ISOT_LINE”
.
Dynamique
linear
SDLS501A [V2.03.501]: Seek Eigen frequencies and modes associated with one
iron corrugated into free-free.
Nonlinear Dynamique
SDNV104A: Dynamic response of a rigid shoe rubbing subjected to a pressure and a force
of recall.
·
C_PLAN
Statique
linear
SSLP101B [V3.02.101]: Analyze of a plate fissured in traction, calculation of the rate of
restitution of energy in plane stresses.
Dynamique
linear
SDLL11G: Seek Eigen frequencies and modes associated with a circular ring
thin into free-free.
Nonlinear Statique
HSNV100B [V7.22.100]: Analyze of a cylinder in thermo plasticity subjected to an effort of
simple traction.
Nonlinear Dynamique
DEMO002A: Analyzes dynamic nonlinear of a wing fissured with contact.