Mechanic

On the method of the functional-invariant solutions for the problems of magnetoelasticity of perfect-conductive anisotropic media

Z. N. Danoyan

Institute of Mechanics, National Academy of Sciences of Armenia

Abstract: The paper studies functionally invariant solutions for two-dimensional equations of magnetoelasticity of ideally conducting anisotropic media, which are plane magnetoelastic waves. The behavior of the roots of the corresponding characteristic equation is studied in detail as a function of the values of the elastic constants and the magnitude of the external magnetic field. It is shown that the roots of the characteristic equation, depending on the above parameters, can be of two types: either each root has its own unique real interval, or one of them is real in two non-intersecting intervals, and the other is real in one interval.

UDC: 533.6

Received: 21.12.1982
Accepted: 01.06.1984