Green's function and energy integrals for magneto-elastic surface waves in perfectly conducting media
Lee, J.S.; Its, E.N.
International Journal of Solids and Structures 29(23): 2959-2971
ISSN/ISBN: 0020-7683 DOI: 10.1016/0020-7683(92)90152-j
Propagation of magneto-elastic Rayleigh waves from a unit line force in a perfectly conducting elastic half-space in a magnetic field is considered in this paper. Green's function for magneto-elastic Rayleigh waves is constructed by using the theory of spectral operators. A unified self-adjoint operator for both the elastic and electromagnetic disturbances is introduced. The self-adjointedness of the operator is then invoked to construct a solution of the inhomogeneous problem through eigenfunction of a corresponding homogeneous problem. Energy integrals for magnetoelastic surface waves and electro-magnetic disturbances similar to the more familiar elastic energy integrals are derived and relationships between the energy integrals are discussed in some detail.