Table of Contents

Radiation

Materials

Since radiation interactions are boundary conditions interactions (LoadingInteraction), no materials must be associated to the element.

Element

Therefore, the first step consist in defining an ElementProperties, as

prp = ElementProperties(typeEl)
prp.put(param1, value1)
prp.depend(param1, fct1, Lock1)) #optional
...

where

typeEl desired element (for example Tm[2]Rayonnement[2|3]DElement)
param1 name of the property associated to the element (for example RAY_EMISSIVITY
value1 value of the corresponding property
fct1 function which characterizes the dependency of the property (optional: no fct if no dependency)
Lock1 Lock which defines the dependency variable of the property (compulsory if there is a dependency)

Tm[2]Rayonnement[2|3]DElement

:!: Using radiation elements requires the use of Kelvin in the entire model !!!

Thermal radiation element with given room temperature. First or second degree.

TODO : Ajouter équations de rayonnement

Parameters

Name Description Dependency
STIFFMETHOD Method used to compute the stiffness matrix\\= STIFF_ANALYTIC : analytic matrix (default)
= STIFF_NUMERIC : numerical matrix
-
BOLTZMANN_CST Boltzmann Constant (required to set units)
= $ 5.67e^{-8} W/m^2K^4 $
= $ 5.67e^{-11} mW/mm^2K^4$
Set
RAY_EMISSIVITY Relative emissivity between two gray bodies (solid / room)
$\epsilon = \frac{\epsilon_1 * \epsilon_2}{\epsilon_1 + \epsilon_2 - \epsilon_1 * \epsilon_2}$
time
RAY_TEMP_AMB Room temperature (K) time
NPG Number of integration points (default : tm : 2 / tm2 : 3) -

Interaction

The interaction is defined as:

load = LoadingInteraction(no)
load.push(gObject1)
load.push(gObject2)
...
load.addProperty(prp)
interactionset.add(load)

where

no number of the Interaction
gObject1, gObject2 mesh geometric entity where the boundary conditions are applied
prp Properties of boundary condition elements to generate