Linear JE curve Model
Presentation
This model defines a conductive isotropic material by its constant resistivity, which corresponds to a linear J(E) dependence.
Mathematical model
In terms of the J(E) characteristic, this model is a straight line.
The corresponding mathematical formula is written:
J(E) = (1 / ρ )E
where ρ is the resistivity of material [Ω.m]
The shape of the J(E) dependence is given in the figure below.
Electric resistivity function of temperature
This model defines a resistivity ρ as a linear function of the temperature.
The corresponding mathematical formula is written:
ρ (T)= ρa(1+a(T - T0))
where:
- T0 is the reference temperature [degree]
- ρa is the resistivity of the material at T0 [Ω .m]
- a is a coefficient (positive or negative) [degree-1]
The shape of ρ(T) curve is presented in the figure below:
Dialog box
| Without Thermal Properties | With Thermal Properties |
|---|---|
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- Open a Create Material dialog box in menu
- Choose Solid as Category field
- Choose Metal as Class field
- In Electric properties:
- Define Relative permittivity
- Activate Thermal properties and define corresponding parameters (optional)