##  [Navier-Cauchy Equations](/navier-cauchy-equations) 

  ##  [Navier-Cauchy Equations](https://engineering.quantumdictionary.io/navier-cauchy-equations-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The set of linear elasticity partial differential equations that relate the displacement field of a homogeneous, isotropic, linear‑elastic continuum to internal stresses and applied body forces; in the static isotropic case they are commonly written with Lamé constants λ and μ as μ ∇^2 u + (λ + μ) ∇(∇·u) + b = 0, where u is the displacement field and b the body force per unit volume.