Numerical analysis of electromagnetoelastic waves propagation in heterogeneous media

Interaction of electromagnetic fields with elastic bodies is the subject of many theoretical investigations in mechanics of continua for the last decades. Some variants of direct and inverse problems have been studied leading into the determination of some characteristics of a medium. It is very interesting to study this phenomenon due to the possibility of applying this theory to geophysical prospecting and study of earthquake sources. It is well known that when an electrical-conducting elastic body oscillates in an electromagnetic field, variations of the electrical and magnetic fields are observed as a result of this motion. Similar processes are also observed when seismic waves propagate in the Earth’s crust. Variations of the seismic and electromagnetic fields arising in this case are called electromagnetoelastic waves. Our work is dedicated to investigation of such interaction. The model considered here is based on a simple variant of combination of the Lamé and Maxwell equations. We form the basic equations for the description of some variant of this coupling and consider mathematical and numerical models of this process.