Defining Anisotropic Conductivity Tensors

Electric conductivity can be simple or anisotropic. In either case, the corresponding values are entered in S/m (Siemens per meter).

If the material property is anisotropic, its characteristics are defined by its anisotropy tensor. You must define three diagonals for anisotropic conductivity. Each diagonal represents a tensor of your model along an axis.

These tensors are relative to the coordinate system specified as the object’s Orientation property. By specifying different orientations, several objects can share the same anisotropic material but be oriented differently.

  1. In the Bulk Conductivity row in the View/Edit Material window, select Anisotropic from the Type drop-down menu.
  2. Three rows named T(1,1), T(2,2) and T(3,3) are added below the Bulk Conductivity row.

  3. Enter the conductivity along one axis of the material’s conductivity tensor in the Value box of the T(1,1) row.
  4. Enter the conductivity along the second axis in the Value box of the T(2,2) row.
  5. Enter the conductivity along the third axis in the Value box of the T(3,3) row.

The values of the conductivity along the first and second axis apply to all axes that lie in the xy cross-section being modeled. The values of the conductivity along the third axis applies to the z-component. These values affect current flowing in dielectrics between the conductors.

These values can also be defined as variables.

Related Topics 

Setting Coordinate Systems

Creating a Relative Coordinate System

Change the Orientation of an object

Bulk Conductivity for a Maxwell Material

Defining Anisotropic Relative Permeability Tensors

Defining Anisotropic Relative Permittivity Tensors

Defining Anisotropic Dielectric Loss Tangent Tensors

Defining Magnetic Loss Tangent Tensors