Code_Aster ®
Version
7.4
Titrate:
Modelings HULL, COQUE_PLAN, COQUE_AXIS


Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key:
U3.22.01-E Page
: 1/4
Organization (S): EDF-R & D/AMA, DeltaCAD
Handbook of Utilization
U3.22 booklet: Elements of thermal structure 2D
U3.22.01 document

Modelings HULL, COQUE_PLAN, COQUE_AXIS -
THERMAL phenomenon


Summary:

This document describes for thermal modelings of the axisymmetric and plane elements:

· degrees of freedom carried by the finite elements which support modeling,
· the related meshs supports,
· supported loadings,
· nonlinear possibilities,
· case-tests implementing modelings.

Modeling COQUE of Phénomène THERMIQUE [R3.11.01] is usable to treat the equations of
heat in mediums with average layer in linear thermal analysis. One can use it like the first calculation
of a thermomechanical chaining with the corresponding machine elements.
Handbook of Utilization
U3.22 booklet: Thermal elements of structure 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings HULL, COQUE_PLAN, COQUE_AXIS


Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key:
U3.22.01-E Page
: 2/4

1 Discretization

1.1
Degrees of freedom

The degrees of freedom are temperatures TEMP (temperature on the average surface of the hull),
TEMP_INF (temperature on the lower surface of the hull), and TEMP_SUP (temperature on
upper surface of the hull).

1.2
Meshs support of the matrices of rigidity

Modeling Nets Element
finished
Remarks

COQUE TRIA3
THCOTR3
nodes with 3 co-ordinates X, y, Z
TRIA6
THCOTR6

TRIA7
THCOTR7

QUAD4
THCOQU4

QUAD8
THCOQU8

QUAD9
THCOQU9

COQUE_PLAN SEG3
THCPSE3 nodes with 2 co-ordinates X, y
COQUE_AXIS
SEG3
THCASE3


For THCOTRi, only the 3 nodes are exploited to define the local geometry (tangent plan,
normal). For THCOQUi, one considers that the element is plane and its tangent plan is defined by
defect by 3 of the 4 nodes of the element.

1.3
Net support of the loadings

All the loadings applicable to the facets of the elements of hull are treated by discretization
direct on the mesh support of the element in temperature formulation.

No mesh support of loading is thus necessary for the faces of the elements of
hulls.

For the applicable loadings on the edges of the elements of hull or plate of
modeling - hull, a mesh support of the type SEG2 or SEG3 must be used.

Modeling Nets Element
finished
Remarks

COQUE SEG2
THCOSE2 with TRIA3 and QUAD4
COQUE SEG3
THCOSE3 with TRIA6 or TRIA7 and
QUAD8 or QUAD9

For the imposed temperatures, the meshs support are meshs reduced to a point.

2
Assignment of the characteristics

For these elements of thermal structures, it is necessary to affect characteristics
geometrical which is complementary to the data of grid. The definition of these data is
carried out with command AFFE_CARA_ELEM associated with the key word following factor:

· COQUE
Allows to define and affect the thickness on the meshs.
Handbook of Utilization
U3.22 booklet: Thermal elements of structure 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings HULL, COQUE_PLAN, COQUE_AXIS


Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key:
U3.22.01-E Page
: 3/4

3 Loadings
supported

The loadings available are as follows:

· FLUX_REP
Allows to apply normal flows to faces of elements of hulls to the faces ±.
Supported modelings: HULL, COQUE_PLAN, COQUE_AXIS

· ECHANGE
Allows to apply conditions of exchange with an outside temperature with faces of
hulls on the faces ±.
Supported modelings: HULL, COQUE_PLAN, COQUE_AXIS

4 Possibilities
non-linear

Nothing.

5 Possibilities
transients

Only modeling COQUE makes it possible to deal with the evolutionary problems of thermics.

6
Examples of implementation: case-test

· COQUE
­ Stationary linear Thermique
HPLA100C [V7.01.100]: Analyze of a heavy thermoelastic hollow roll in rotation
uniform. In this modeling, one carries out a chained elastic thermo calculation and a calculation
thermoelastoplastic without plastic evolution.
TPLS100A [V4.03.100]: Analyze thermal in stationary regime of an infinite plate
subjected to a couple of antisymmetric heat flows on its two half-faces.
­ Thermique linear transient
TTLL01M [V4.21.001]: Analyze thermal linear transient of an infinite wall subjected to a shock
thermics.

· COQUE_PLAN
­ Stationary linear Thermique
HPLA100B [V7.01.100]: Analyze of a heavy thermoelastic hollow roll in rotation
uniform. In this modeling, one carries out a chained elastic thermo calculation and a calculation
thermoelastoplastic without plastic evolution.
TPLS100B [V4.03.100]: Analyze thermal in stationary regime of an infinite plate
subjected to a couple of antisymmetric heat flows on its two half-faces.

Handbook of Utilization
U3.22 booklet: Thermal elements of structure 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Modelings HULL, COQUE_PLAN, COQUE_AXIS


Date:
01/06/05
Author (S):
C. DURAND, F. LEBOUVIER
Key:
U3.22.01-E Page
: 4/4

Intentionally white left page.

Handbook of Utilization
U3.22 booklet: Thermal elements of structure 2D
HT-66/05/004/A

Outline document