Example13 Anisotropic Dielectric Material

General

  • An anisotropic dielectric material is placed in an isotropic dielectric material.
     

  • A certain voltage is applied across the model.
    The distributions of the electric field and the current density are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

 

Analysis Conditions

Select “Static analysis” as the potential is static.

The material type is “Dielectric material”.

Item

Settings

Solvers

Electric Field Analysis [Coulomb]

Analysis Type

Static analysis

Material Type

Dielectric material

Options

N/A

 

Create the ambient air manually. Deselect the automatic creation.

Tab

Setting Item

Settings

Mesh Tab

Ambient Air Creation

Create ambient air automatically: Deselect

Model

The anisotropic dielectric material, Block, is oriented in the X direction.
Air is angled 45 deg with referenced to Block.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

Air

000_Air(*)

1/Solid

Block

Anisotropic_Eps

* Available from the Material DB

 

The conductivity of the anisotropic conductor is set as follows.

Material Name

Permittivity

Anisotropic_Eps

Anisotropy: Select “Anisotropic”.

 

The “conductivity matrix” is set as follows.

10.0

0.0

1.0

0.0

0.0

1.0

 

* This is not the actual material’s property.

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

V0/Face

Electric

Electric wall

Voltage specified, 0[V]

V1/Face

Electric

Electric wall

Voltage specified, 1[V]

Results

The vectors of the electric field are shown below.

Also shown are the vectors of the electric flux density.

 

 

These two types of vectors are not parallel due to the anisotropy.

 

  • The axes are oriented based on Block, but they can be oriented based on Air.
    In that case, set Euler angle (0, 0, 45) in the Direction tab of the body attribute.