Isotropic / anisotropic material: linear approximation (with losses)

Presentation

This model defines a D(E) law of linear behavior for an isotropic or anisotropic material.

It takes into account the dielectric losses in harmonic regimes (Steady state AC Electric Application)

Mathematical model

This model is a straight line.

The corresponding mathematical formula is written:

D(E)= ε₀ε_rE

where:

• ε₀ is the permittivity of vacuum; ε₀ = 1/(36 π). 10^-9 [F/m]
• ε_r is the relative permittivity of the material in its complex form:

• and

Anisotropic material

For an anisotropic material, this linear model consists of a group of three straight lines.