Modelings thermal 3D and 3d

Code_Aster

Version

7.4

Titrate:

Modelings

and

3d_DIAG

thermics

Date:

01/06/05

Author (S):

C. DURAND. F. LEBOUVIER

Key

U3.24.01-E

Page

1/4

Instruction manual

U3.24 booklet: Thermal finite elements 3D

HT-66/05/004/A

Organization (S):

EDF-R & D/AMA, DeltaCAD

Instruction manual
U3.24 booklet: Thermal finite elements 3D
Document: U3.24.01

Modelings

and

3d_DIAG

thermics

Summary:

This document describes for modelings

and

3d_DIAG

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 modelings

Modeling

(Phenomenon:

THERMICS

) corresponds to finite elements whose meshs supports are

voluminal.

Modeling

3d_DIAG

cover the same possibilities as

and remotely only for one calculation of thermics

where the thermal matrix of mass is then diagonalisée before resolution.

Code_Aster

Version

7.4

Titrate:

Modelings

and

3d_DIAG

thermics

Date:

01/06/05

Author (S):

C. DURAND. F. LEBOUVIER

Key

U3.24.01-E

Page

2/4

Instruction manual

U3.24 booklet: Thermal finite elements 3D

HT-66/05/004/A

1 Discretization

1.1

Degrees of freedom

Modeling

Degrees of freedom

(with each node node)

and

3d_DIAG TEMP

: corresponds to the temperature

HYDR

: corresponds to the hydration

1.2

Net support of the matrices of rigidity

The meshs support of the finite elements can be tetrahedrons, pyramids, prisms or
hexahedrons. The elements are isoparametric.

Modeling Nets Interpolation

Remarks

and

3d_DIAG

TETRA4

Linear

3D TETRA10

Quadratic

and

3d_DIAG

PYRAM5

Linear

3D PYRAM13

Quadratic

and

3d_DIAG

PENTA6

Bilinear

3D PENTA15

Serendip

and

3d_DIAG

HEXA8

Trilinear

3D HEXA20

Serendip

3D HEXA27

Tri-quadratic

1.3

Net support of the surface loadings

Modeling Nets Interpolation

Remarks

and

3d_DIAG

TRIA3

Linear or

Bilinear

and

3d_DIAG

TRIA6

Quadratic or

Serendip

and

3d_DIAG

QUAD4

Bilinear

and

3d_DIAG

QUAD8

Serendip

QUAD9

Quadratic

Code_Aster

Version

7.4

Titrate:

Modelings

and

3d_DIAG

thermics

Date:

01/06/05

Author (S):

C. DURAND. F. LEBOUVIER

Key

U3.24.01-E

Page

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Instruction manual

U3.24 booklet: Thermal finite elements 3D

HT-66/05/004/A

2 Loadings

supported

The loadings available are as follows:

SOURCE

Allows to apply voluminal sources to a field 3D.

Supported modelings:

3d_DIAG

FLUX_REP

Allows to apply normal flows to faces of voluminal elements.

Supported modelings:

3d_DIAG

EXCHANGE

Allows to apply conditions of exchange with an outside air temperature with faces
voluminal elements.

Supported modelings:

3d_DIAG

ECHANGE_PAROI

Allows to apply conditions of exchange between two walls.

Supported modelings:

3d_DIAG

GRAD_TEMP_INIT

Allows to impose a presumedly uniform variation in temperature in an element

Supported modelings:

3d_DIAG

CONVECTION

Allows to take into account the terms of transport of heat by convection, for

THER_NON_LINE_MO

only.

Supported modeling:

RADIATION

Allows to take into account the flow radiated ad infinitum with faces of voluminal elements

Supported modelings:

3d_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),

 Nonlinear 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.

Code_Aster

Version

7.4

Titrate:

Modelings

and

3d_DIAG

thermics

Date:

01/06/05

Author (S):

C. DURAND. F. LEBOUVIER

Key

U3.24.01-E

Page

4/4

Instruction manual

U3.24 booklet: Thermal finite elements 3D

HT-66/05/004/A

Examples of implementation: case-tests

4.1 Thermics

standard

 Stationary linear Thermique

TPLL100A [V4.02.100]: Analyze thermal of an anisotropic plane wall subjected to one
temperature imposed and on a flow.

 Thermique linear transient

TTLL01C [V4.21.001]: Analyze thermal linear transient of an infinite wall subjected to a shock
thermics.

 Stationary non-linear Thermique

TPNA01A [V4.41.001]: Analyze thermal of a hollow roll whose internal wall is
subjected to a radiation and the external wall with an exchange by convection.

 Thermique non-linear transient

TTNL03A [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.

 Stationary non-linear Thermique with mobile loading

TPLV105A [V4.04.105]: This test presents thermal simulation by finite elements of the test
Varestraint. This test of weldability is employed to characterize resistance to
hot cracking of materials.

3d_DIAG

 Thermique linear transient

TTLL01J [V4.21.001]: Analyze thermal linear transient of an infinite wall subjected to a shock
thermics.

4.2 Hydration

TTNL03A [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

HSNA100B [V7.20.100]: Calculation of the drying of a concrete enclosing wall: drying is carried out
by exchange with outside, on the walls internal and external of the wall.

3d_DIAG

HSNA100D [V7.20.100]: Calculation of the drying of a concrete enclosing wall: drying is carried out
by exchange with outside, on the walls internal and external of the wall.