physics-equationAvailable
Kelvin-Voigt viscous damping
A symmetric positive-semidefinite 6x6 Kelvin-Voigt tensor adds direct anisotropic viscous stress.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | domain | — |
| latex | \boldsymbol{\sigma}_{v}=\mathsf D_v:\dot{\boldsymbol{\varepsilon}},\quad\mathsf D_v\succeq0 | — |
| mathml | <math display="block"><mrow><msub><mi>sigma</mi><mi>v</mi></msub><mo>=</mo><msub><mi>D</mi><mi>v</mi></msub><mo>:</mo><mover><mi>epsilon</mi><mo>.</mo></mover><mo>,</mo><msub><mi>D</mi><mi>v</mi></msub><mo>⪯</mo><mn>0</mn></mrow></math> | — |
| name | Kelvin-Voigt viscous damping | — |
| section | definition | — |
A symmetric positive-semidefinite 6x6 Kelvin-Voigt tensor adds direct anisotropic viscous stress.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | domain |
| latex | \boldsymbol{\sigma}_{v}=\mathsf D_v:\dot{\boldsymbol{\varepsilon}},\quad\mathsf D_v\succeq0 |
| mathml | <math display="block"><mrow><msub><mi>sigma</mi><mi>v</mi></msub><mo>=</mo><msub><mi>D</mi><mi>v</mi></msub><mo>:</mo><mover><mi>epsilon</mi><mo>.</mo></mover><mo>,</mo><msub><mi>D</mi><mi>v</mi></msub><mo>⪯</mo><mn>0</mn></mrow></math> |
| name | Kelvin-Voigt viscous damping |
| section | definition |