  In this paper we investigate the possibility of elastodynamic transformation
cloaking in bodies made of non-centrosymmetric gradient solids. The goal of
transformation cloaking is to hide a hole from elastic disturbances in the
sense that the mechanical response of a homogeneous and isotropic body with a
hole covered by a cloak would be identical to that of the corresponding
homogeneous and isotropic body outside the cloak. It is known that in the case
of centrosymmetric gradient solids the balance of angular momentum is the
obstruction to transformation cloaking. We will show that this is the case for
non-centrosymmetric gradient solids as well.
