Abstract:
The features of propagation of the acceleration waves in a
solid that is anisotropic in its actual state, while being isotropic
in the natural one, are studied. An algorithm for constructing the
acoustic tensor given an initial strain and for elastic potential
set in its natural state is derived.
Under the most general assumptions on the initial strain,
the acoustic tensor is constructed for the following two hyperelastic solids:
the Neo – Hookean one and that with modified Mooney – Rivlin potential.
It is shown that the regularities of the acceleration waves propagation
in the solids differ significantly from conventional
properties based on the classical linear theory of elasticity.
Key words:accelerations waves, elastic potential, tensor of the
elastic modules, acoustic tensor, polarization vector, speed of
waves propagation.
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