Plane infinitesimal wave propagation is examined in elastic sheets who
se strain energy depends on both the first and second derivatives of t
he deformation. The resulting acoustic-tenser analysis produces dynami
cal-stability conditions. These are compared to material-stability con
ditions found previously using equilibrium considerations. A particula
r solution is demonstrated for the special case of wave propagation in
an isotropic elastic sheet subjected to an underlying uniform homogen
eous deformation.