physics-equationAvailable
Electric displacement law
Governing equation `Electric displacement law` declared by physics interface `Piezoelectricity`.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | \mathbf D=\mathsf e:\boldsymbol{\varepsilon}+\boldsymbol{\epsilon}^{S}\mathbf E,\qquad\mathbf E=-\nabla V | — |
| mathml | <math display="block"><mrow><mi mathvariant="bold">D</mi><mo>=</mo><mi mathvariant="bold">e</mi><mo>:</mo><mi mathvariant="bold">ε</mi><mo>+</mo><msup><mi mathvariant="bold">ϵ</mi><mi>S</mi></msup><mi mathvariant="bold">E</mi><mo>,</mo><mspace width="1em"/><mi mathvariant="bold">E</mi><mo>=</mo><mo>−</mo><mo>∇</mo><mi>V</mi></mrow></math> | — |
| name | Electric displacement law | — |
| section | definition | — |
Governing equation Electric displacement law declared by physics interface Piezoelectricity.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | \mathbf D=\mathsf e:\boldsymbol{\varepsilon}+\boldsymbol{\epsilon}^{S}\mathbf E,\qquad\mathbf E=-\nabla V |
| mathml | <math display="block"><mrow><mi mathvariant="bold">D</mi><mo>=</mo><mi mathvariant="bold">e</mi><mo>:</mo><mi mathvariant="bold">ε</mi><mo>+</mo><msup><mi mathvariant="bold">ϵ</mi><mi>S</mi></msup><mi mathvariant="bold">E</mi><mo>,</mo><mspace width="1em"/><mi mathvariant="bold">E</mi><mo>=</mo><mo>−</mo><mo>∇</mo><mi>V</mi></mrow></math> |
| name | Electric displacement law |
| section | definition |