Electric Conduction face (3D) / line (2D) region
Introduction
The face (in 3D) / line (in 2D) regions are:
-
either material regions: used to model thin regions in the study domain
-
or non-material regions: used to impose boundary conditions (BC) inside or on the frontiers of the study domain
Material regions (thin regions)
Thin regions enable the modeling of conducting regions of small thickness (cracks, air-gap, etc.).
The thin regions are described in the same way as the massive regions, with in addition the thickness of the regions.
In 3D, the direction of the E and D fields (and the current) is selected by the user, as indicated in the table below.
| Thin region | Direction of the electric field (and the current) | ||
|---|---|---|---|
| no restriction | quasi normal | quasi tangential | |
| conducting | thin region with random ρ resistivity |
thin region with: ρ2 >> ρ1
|
thin region with: ρ2 << ρ1
|
Non-material regions
Non-material regions enable to impose the boundaries conditions (BC).
| A region… | is a BC that enables one to impose… | It is defined by… |
|---|---|---|
| Insulating | (a potential jump) | (predefined) |
| Imposed current density | a current density |
a current density (in A/mm²) (formula with input/output parameters or formula with spatial quantities) |
| Imposed electric potential | an electric potential |
an electric potential (in V) (formula with input/output parameters or formula with spatial quantities) |
| Normal electric field | a normal electric field | |
| Tangential electric field | a tangential electric field | |
| … on the faces/lines that form the region | ||
where 
is the normal component to the region with
exterior direction (i.e. having the direction out from the volume region).
