The plane problem of propagation of magnetoelastic waves in perfectly conducting isotropic media

The Smirnov-Sobolev method of complex solutions is applied to the solution of the problem concerning the propagation of elastic waves in an infinite isotropic medium in the presence of a magnetic field. The functional-invariant solutions of the plane problem of magnetoelasticity are examined as plane waves of two types. The variation in the propagation rate of the waves is determined as a function of the magnetic field and the angle formed by the magnetic field and the normal to the wave. The results obtained indicate that magnetoelastic waves are divided into fast and slow waves. Diagrams depicting the propagation rates of these waves are provided.