Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS_SI, D_PLAN_SI, mechanical C_PLAN_SI
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER Key
:
U3.13.05-C Page
: 1/4

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

Handbook of Utilization
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 (Phénomène: MECANIQUE) 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 y axis,
· D_PLAN_SI for the plane deformations,
· C_PLAN_SI for the plane constraints.

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

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS_SI, D_PLAN_SI, mechanical C_PLAN_SI
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER Key
:
U3.13.05-C Page
: 2/4

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: displacement following X
DY: displacement following Y
C_PLAN_SI
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. Only the element which is pressed on mesh QUAD8 under is integrated.

Modelings Nets
Interpolation integration
AXIS_SI
TRIA3
Linear
complete
D_PLAN_SI
QUAD4
Bilinear
reduced
C_PLAN_SI
TRIA6
Quadratic
complete
QUAD8
Serendip
reduced
QUAD9
Biquadratic
complete

1.3
Net support of the loadings

Modelings Nets
Interpolation
AXIS_SI
SEG2
Linear
D_PLAN_SI

or
C_PLAN_SI
SEG3
Quadratic

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

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS_SI, D_PLAN_SI, mechanical C_PLAN_SI
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER Key
:
U3.13.05-C Page
: 3/4

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

· PESANTEUR
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 disk speed and the direction of the vector of rotation.
Supported modelings: AXIS_SI, C_PLAN_SI, D_PLAN_SI

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

Code_Aster ®
Version
7.4
Titrate:
Modelings AXIS_SI, D_PLAN_SI, mechanical C_PLAN_SI
Date:
01/06/05
Author (S):
J.P. LEFEBVRE, F. LEBOUVIER Key
:
U3.13.05-C Page
: 4/4

3 Possibilities
non-linear

3.1
Laws of behaviors

Laws of behaviors (model traditional, model buildings with damage, models
for the concrete and the grounds,…), 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].

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 two-speed type subjected “VISC_ISOT_TRAC” 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

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

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