background image
Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
thermics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.23.02-E
Page
:
1/2
Instruction manual
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A
Organization (S):
EDF-R & D/AMA, DeltaCAD















Instruction manual
U3.23 booklet: Thermal finite elements 2D
Document: U3.23.02



Modeling
AXIS_FOURIER
thermics



Summary:

This document describes for modeling
AXIS_FOURIER
thermics:
·
degrees of freedom carried by the finite elements which support modeling,
·
the related meshs supports,
·
supported materials and loadings,
·
nonlinear possibilities,
·
case-tests implementing modeling.

Modeling
AXIS_FOURIER
(Phenomenon:
THERMICS
) corresponds to finite elements of which meshs
supports are plane and make it possible to modelize the longitudinal section of parts of revolution around the axis
OZ
(in cylindrical co-ordinates) subjected to boundary conditions of which the space distribution
break up into Fourier series around this axis.
background image
Code_Aster
®
Version
7.4
Titrate:
Modeling
AXIS_FOURIER
thermics
Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER
Key
:
U3.23.02-E
Page
:
2/2
Instruction manual
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A
1 Discretization
1.1
Degrees of freedom
Modeling
Degrees of freedom
(with each node node)
AXIS_FOURIER
TEMP
: corresponds to the temperature
1.2
Net support of the matrices of rigidity
Modeling Nets Interpolation
Remarks
AXIS_FOURIER
TRIA3
Linear
QUAD4
Bilinear
TRIA6
Quadratic
QUAD8
Serendip
QUAD9
Biquadratic
1.3
Net support of the loadings
Modeling Nets Interpolation
Remarks
AXIS_FOURIER
SEG2
Linear or
Bilinear
SEG3
Quadratic,
Serendip or
Biquadratic
2 Loadings
supported
The loadings available are as follows:
·
SOURCE
Allows to apply voluminal sources.
·
FLUX_REP
Allows to apply normal flows to faces of elements.
·
EXCHANGE
Allows to apply conditions of exchange with an outside air temperature with faces
elements.

3 Possibilities
non-linear
Nothing.

4
Examples of implementation: case-tests
·
Stationary linear thermics
TPLV305A [V4.04.305]: Analyze thermal linear of a cylinder subjected to a temperature
imposed on external surface, according to a harmonic function (mode 1).