In some differential equations from phyiscs, e.g. in elastodynamics, terms with the curl of the curl of a vector field appear. For example
$(\lambda + 2 \mu) \nabla(\nabla\cdot \mathbf{x}) - \mu \nabla\times\nabla \times \mathbf{x} = \rho \ddot{\mathbf{x}}$.
Is there a way to visualize or have an intuitive/physical understanding of what is represented by the curl of a curl of a vector field.