Momentum balance

Understand the Momentum balance relationship used by Structural Mechanics.

Where to find it

Structural Mechanics → equations

How to use it

Compare the terms, signs and units with your intended physical assumptions before choosing model inputs.

Result

Equation: \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).

Troubleshooting

The equation describes the model assumptions; it is not a separate editable boundary condition. Check the parent physics page for setup and limitations.