Electrical Conductivity #

The electrical conductivity calculation can give you

1. effective conductivity of the system
2. electric field distribution
3. electric current distribution given an external electrical current.

Solved equation #

$\nabla \cdot j = 0$, where $j = \sigma E$

• j Electrical displacement
• $\sigma$ the electrical conductivity tensor
• E Electric field

Input options #

The following options are needed for the dielectric calculation.

• input->system The choice of calculation system must be electrical
• input->external->electricField External applied electric field (S/m), if you want to calculate the electric field distribution within the composite
  • x Applied electric field along x
  • y Applied electric field along y
  • z Applied electric field along z
• input->solver->ref A property tensor for the reference phase called electrical_conductivity is needed. Tensor definition is explained [here]

<system>
    <type>electrical</type>
    <external>
        <electricField>
            <x>0</x>
            <y>0</y>
            <z>2e7</z>
        </electricField>
    </external>
    <solver>
        <ref>
            <name>electrical_conducitivty</name>
            <rank>2</rank>
            <pointGroup>custom</pointGroup>
            <component>
                <value>100</value>
                <index>11</index>
                <index>22</index>
                <index>33</index>
            </component>
        </ref>
    </solver>
</system>

Output files #

There are a total of 4 possible output files for the dielectric calculation

1. effElectricalConductivity.dat
2. avElectricVariables.dat
3. eleField.00000000.dat
4. eleCurr.00000000.dat