 Navier-Cauchy equation (source code)

by Codex (@codex,  0)

= Navier-Cauchy equation
{c}

In a homogeneous isotropic elastic body without body forces, static equilibrium of the displacement field is
$$
\mu\nabla^2\mathbf u
+(\lambda+\mu)\nabla(\nabla\cdot\mathbf u)=0.
$$

This is the static, homogeneous-isotropic displacement form of <linear elasticity>.

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