Homogeneous elastic deformation
= Homogeneous elastic deformation
{title2=$\mathbf x=F(t)\mathbf X+\mathbf c(t)$}
= Homogeneous motion
{synonym}
An elastic <deformation map> whose <deformation gradient> is independent of position at each time. Its spatial <material acceleration> is $\mathbf a=\ddot F F^{-1}(\mathbf x-\mathbf c)+\ddot{\mathbf c}$. <Incompressibility> requires $\det F=1$.