Electro Static 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 small thickness regions (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 (+ electric charge sources q)

thin region with random ε permittivity

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 surface charge a surface density of electric charge

a surface density of electric charge (in C/m²) (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

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

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