In this work a transformation acoustics scheme for generic elastic media is
developed. Our approach starts form the decomposition of the elasticity tensor
in terms of its eigentensors, an idea previously used by Norris. While Norris'
transformation acoustics is restricted to the special class of so-called
pentamode materials, we show that a similar scheme can be defined for the most
general elasticity tensor. As in case of Norris' model (and in sharp contrast
to transformation optics), the compatibility equations of the transformation
medium are not purely algebraic and it is not guaranteed that solutions to
these equations exist for any choice of material parameters and coordinate
transformation. Nonetheless, it is shown that our scheme yields new cloaking
solutions for certain classes of materials. In particular, we present the first
application of a transformation based device for a non-scalar wave equation
outside of the field of electromagnetics.Comment: 14 pages, LaTe