Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
PLAN
,
AXIS_DIAG
and
PLAN_DIAG
Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
U3.23.01-E
Page
:
1/4
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: U3.23.01
Modelings
AXIS
,
PLAN
,
AXIS_DIAG
and
PLAN_DIAG
Summary:
This document describes for modelings of thermics of the axisymmetric and plane elements:
·
degrees of freedom carried by the finite elements which support modeling,
·
the related meshs supports,
·
supported materials and loadings,
·
nonlinear possibilities,
·
case-tests implementing modelings.
Axisymmetric and plane modelings (Phenomenon:
THERMICS
) correspond to finite elements
whose meshs supports are surface.
Modelings
AXIS_DIAG
and
PLAN_DIAG
the same possibilities cover as
AXIS
and
PLAN
and in
differ that for a calculation from thermics where the thermal matrix of mass is then diagonalisée.
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
PLAN
,
AXIS_DIAG
and
PLAN_DIAG
Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
U3.23.01-E
Page
:
2/4
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, AXIS_DIAG, PLAN,
PLAN_DIAG
TEMP
: corresponds to the temperature
1.2
Net support of the matrices of rigidity
The meshs support of the finite elements can be triangles or quadrilaterals. The elements are
isoparametric.
Modeling Nets
Interpolation
Remarks
AXIS (_DIAG) - PLANE (_DIAG)
TRIA3
Linear
AXIS (_DIAG) - PLANE (_DIAG)
QUAD4
Linear
AXIS (_DIAG) - PLANE (_DIAG)
TRIA6
Quadratic
AXIS - PLAN
QUAD8
Serendip
AXIS (_DIAG) - PLANE (_DIAG)
QUAD9
Quadratic
1.3
Net support of the loadings
Modeling Nets
Interpolation
Remarks
AXIS (_DIAG) - PLANE (_DIAG)
SEG2
Linear
AXIS (_DIAG) - PLANE (_DIAG)
SEG3
Quadratic
2 Loadings
supported
The loadings available are as follows:
·
SOURCE
Allows to apply voluminal sources to a field 2D.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
·
FLUX_REP
Allows to apply normal flows to sides of elements 2D.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
·
EXCHANGE
Allows to apply conditions of exchange with an outside air temperature at sides
elements 2D.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
·
ECHANGE_PAROI
Allows to apply conditions of exchange between two walls.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
PLAN
,
AXIS_DIAG
and
PLAN_DIAG
Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
U3.23.01-E
Page
:
3/4
Instruction manual
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A
·
GRAD_TEMP_EPSI
Allows to apply a presumedly uniform variation in temperature “initial” in the element.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
·
CONVECTION
Allows to take into account the terms of transport of heat by convection, for
THER_NON_LINE_MO
only.
Supported modelings:
AXIS
,
PLAN
·
RADIATION
Allows to take into account ad infinitum radiated flow.
Supported modelings:
AXIS (_DIAG)
,
PLAN (_DIAG)
3 Possibilities
non-linear
Two operators are available for the study of non-linear behaviors:
·
THER_NON_LINE
[U4.54.02]: this operator allows, in hover or in transient, of
to solve the problems of:
Thermique non-linear standard: material depend on the temperature, conditions with
limits (radiation and nonlinear imposed flow),
Non-linear Thermique with calculation of the hydration of the concrete,
Séchage of the concrete.
·
THER_NON_LINE_MO
[U4.54.03]: this operator allows to solve the equation of heat
stationary in a mobile reference frame related to a loading and moving in a direction
and at a given speed.
4
Examples of implementation: case-tests
4.1 Thermics
·
AXIS
Stationary linear Thermique
TPLA07A [V4.01.007]: Analyze thermal of an orthotropic hollow roll subjected to different
boundary conditions (imposed flow, convection, linear variation of the temperatures
external).
Stationary non-linear Thermique
TPNA01A [V4.41.001]: Analyze thermal of a hollow roll subjected to a convectif exchange
on the interior wall and with a radiation ad infinitum on the external wall.
Thermique linear transient
TTLV01B [V4.25.001]: Analyze thermal linear transient of a full sphere subjected to
a heat transfer by convection.
Thermique non-linear transient
TTNA200A: case-test of not-regression
·
PLAN
Stationary linear Thermique
TPLL100B [V4.02.100]: Analyze thermal of an anisotropic plane wall subjected to one
temperature imposed and on a flow.
Stationary non-linear Thermique
TPNL300A [V4.42.300]: Analyze thermal unidimensional of a wall subjected to one
temperature imposed on the internal wall and on an exchange by radiation on the wall
external (Test NAFEMS).
Code_Aster
®
Version
7.4
Titrate:
Modelings
AXIS
,
PLAN
,
AXIS_DIAG
and
PLAN_DIAG
Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key
:
U3.23.01-E
Page
:
4/4
Instruction manual
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A
Thermique linear transient
TTLP100B [V4.23.100]: Calculate linear transitory thermal response of two plates
separated by a play in which a transfer of heat between the walls is carried out.
Thermique non-linear transient
TTNL02A [V4.22.002]: Simulation of a liquid/solid phase shift while introducing
via the voluminal enthalpy latent heat of fusion.
Nonlinear stationary Thermique with mobile loading
TPLV102A [V4.04.102]: Transport of heat by convection and conduction in one
square cavity.
·
AXIS_DIAG
Thermique linear transient
TTLV100A [V4.25.100]:
Analyze thermal linear transient of a presumedly infinite pipe in
which one imposes a cold thermal shock using a limiting condition of exchange.
·
PLAN_DIAG
Thermique linear transient
TTLL100A [V4.21.100]: Analyze thermal linear transient of an infinite plane wall to which one
impose a cold thermal shock using a limiting condition of exchange.
Thermique non-linear transient
TTNL02C [V4.22.002]: Simulation of a liquid/solid phase shift while introducing
via the voluminal enthalpy latent heat of fusion.
4.2 Hydration
·
AXIS
TTNL03B [V4.22.003]: simulation of an adiabatic test: analyze behavior
thermo hydrating of freshly-mixed a concrete sample plunged in a calorimeter, the catch being carried out
with release of heat.
4.3 Drying
·
AXIS
HSNA102A [V7.20.102]: Validation of the calculation of the drying of the concrete, it acts of a case test
axisymmetric where the water concentration is applied directly to the external wall.
·
AXIS_DIAG
HSNA102D [V7.20.102]: Validation of the calculation of the drying of the concrete, it acts of a case test
axisymmetric where the water concentration is applied directly to the external wall.