Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS, D_PLAN, mechanical C_PLAN


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D Page
: 1/4

Organization (S): EDF-R & D/AMA, DeltaCAD

Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
U3.13.01 document

Modelings AXIS, D_PLAN, C_PLAN

Summary:

Modelings AXIS, D_PLAN, C_PLAN (Phénomène: MECANIQUE) 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 y axis,
· D_PLAN for the plane deformations,
· C_PLAN for the plane constraints.

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.

Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS, D_PLAN, mechanical C_PLAN


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D Page
: 2/4

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: displacement following X
DY: displacement following Y
C_PLAN
DX: displacement following X
DY: displacement following 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
TRIA3
Linear
D_PLAN
QUAD4
Bilinear
C_PLAN
TRIA6
Quadratic
QUAD8
Serendip
QUAD9
Biquadratic

1.3
Net support of the loadings

Modelings Nets
Interpolation
AXIS
SEG2
Linear
D_PLAN

or
C_PLAN SEG3
Quadratic

2 Loadings
supported

The loadings available are as follows:

· CONTACT
Allows to define the zones 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
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS, D_PLAN, mechanical C_PLAN


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D Page
: 3/4

· PESANTEUR
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 disk 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 traditional, model buildings with damage, models
for the concrete,…), usable under COMP_INCR or COMP_ELAS in STAT_NON_LINE and
DYNA_NON_LINE, under key word RELATION, are described in details in the document
“Behavior nonlinear” [U4.51.11].

3.2 Deformations

Deformations usable under COMP_INCR or COMP_ELAS in STAT_NON_LINE and
DYNA_NON_LINE, under key word DEFORMATION, are described in details in the document
“Behavior nonlinear” [U4.51.11].
Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS, D_PLAN, mechanical C_PLAN


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key:
U3.13.01-D Page
: 4/4

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
Dynamic SDNV104A: Réponse 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 constraints.
­ 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
Nonlinear DEMO002A: dynamic Analyze of a wing fissured with contact.

Handbook of Utilization
U3.13 booklet: Mechanical finite elements 2D
HT-66/05/004/A

Outline document