##  [Cauchy Momentum Equation](/cauchy-momentum-equation) 

  ##  [Cauchy Momentum Equation](https://engineering.quantumdictionary.io/cauchy-momentum-equation-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Local, pointwise statement of linear momentum conservation in a continuum: ρ (D v / D t) = ∇·σ + ρ b, where ρ is mass density, v the velocity field, D/Dt the material derivative, σ the Cauchy stress tensor and b the body force per unit mass.