ReferenceAlpha
Optimization volume-fraction response
Governing equation `Optimization volume-fraction response` declared by physics interface `Topology Optimization`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | semismooth | — |
| entity_dimension | domain | — |
| latex | V(\theta)=\frac{\int_\Omega \theta\,d\Omega}{\int_\Omega d\Omega} | — |
| mathml | <math display="block"><mrow><mi>V</mi><mo>(</mo><mi>theta</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mo>int</mo><mi>theta</mi><mi>dOmega</mi></mrow><mrow><mo>int</mo><mi>dOmega</mi></mrow></mfrac></mrow></math> | — |
| name | Optimization volume-fraction response | — |
| section | definition | — |
Governing equation Optimization volume-fraction response declared by physics interface Topology Optimization.
Contract
| Property | Value |
|---|---|
| differentiability | semismooth |
| entity_dimension | domain |
| latex | V(\theta)=\frac{\int_\Omega \theta\,d\Omega}{\int_\Omega d\Omega} |
| mathml | <math display="block"><mrow><mi>V</mi><mo>(</mo><mi>theta</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mo>int</mo><mi>theta</mi><mi>dOmega</mi></mrow><mrow><mo>int</mo><mi>dOmega</mi></mrow></mfrac></mrow></math> |
| name | Optimization volume-fraction response |
| section | definition |