Steady state AC Electric 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 is selected by the user, as indicated in the table below.

Thin region Direction of fields E and D
no restriction quasi tangential
dielectric and non-conducting thin region with random value of permittivity ε

thin region with: ε2 >> ε1

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…
Perfect conductor an uniform electric potential and a normal electric field

an electric potential: floating or fixed value (in V)

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

an electric potential: floating or fixed value (in V)

Tangential electric field a tangential electric field
… on the faces/lines that form the region