ReferenceAvailable
Momentum balance
Governing equation `Momentum balance` declared by physics interface `Structural Mechanics`.
Reference
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | \nabla\!\cdot\boldsymbol{\sigma}+\mathbf F=\rho\left(\ddot{\mathbf u}+2\boldsymbol{\Omega}\times\dot{\mathbf u}+\dot{\boldsymbol{\Omega}}\times\mathbf r+\boldsymbol{\Omega}\times(\boldsymbol{\Omega}\times\mathbf r)+\mathbf a_0\right) | — |
| mathml | <math display="block"><mrow><mo>∇</mo><mo>·</mo><mi mathvariant="bold">σ</mi><mo>+</mo><mi mathvariant="bold">F</mi><mo>=</mo><mi>ρ</mi><mover><mi mathvariant="bold">u</mi><mo>¨</mo></mover></mrow></math> | — |
| name | Momentum balance | — |
| section | governing-equation | — |
Governing equation Momentum balance declared by physics interface Structural Mechanics.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | \nabla\!\cdot\boldsymbol{\sigma}+\mathbf F=\rho\left(\ddot{\mathbf u}+2\boldsymbol{\Omega}\times\dot{\mathbf u}+\dot{\boldsymbol{\Omega}}\times\mathbf r+\boldsymbol{\Omega}\times(\boldsymbol{\Omega}\times\mathbf r)+\mathbf a_0\right) |
| mathml | <math display="block"><mrow><mo>∇</mo><mo>·</mo><mi mathvariant="bold">σ</mi><mo>+</mo><mi mathvariant="bold">F</mi><mo>=</mo><mi>ρ</mi><mover><mi mathvariant="bold">u</mi><mo>¨</mo></mover></mrow></math> |
| name | Momentum balance |
| section | governing-equation |