Abstract
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 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. Olsen [6] has represented some experimental results of interactions of power-line electromagnetic field with the Earth crust. He has showed that high harmonic fields are produced by basic harmonic field of frequency ωo = 60 Hz. One possible explanation of this effect is a nonlinear interaction of electromagnetic field with seismic field. Our work is dedicated to the investigation of this interaction. We form the basic equations for the description of some variant of this coupling and consider a simple mathematical model of this process. It is possible to construct in linear approximation the solution of corresponding problem, showing that higher harmonic fields’ generation process can be described for that model.
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