Ivas'ko R. Thermal and stress states of ferrite solids with flat boundaries subjected to quasisteady electromagnetic fields

A mathematical model and an approach to capture thermostressed state of ferrite solids subjected to moderate external quasisteady electromagnetic fields and high carrying frequencies are developed. The model is based on the general electromagnetic field-matter interaction theory. The ferrite solid under consideration is assumed to get polarizated and magnetized in certain spectral ranges. Effect of electromagnetic field is taken into account by heat sources and ponderomotive forces. Heat sources are due to Joule's heat as well as remagnetization and repolarization heat. Statistic effect of ponderomotive forces is considered. Material properties, namely, complex magnetic and electric permeabilities and tangent losses are taken from reference literature. Approximated complex representation of electromagnetic field parameters is introduced with the following reduction of initial problem written in terms of these parameters to the problem written in terms of complex amplitudes of magnetic and electric fields. The solutions to the new problems on determination electromagnetic, temperature and mechanical fields in elastic ferrite layer subjected to external electromagnetic field are obtained. External electromagnetic field is generated by a given quasisteady electric current uniformly and harmonically distributed in a plane parallel to layer's base. Finite integral transformations are used for determination quasistatic components of the temperature and stresses while quasisteady components are calculated both exactly and approximately, using cubic law of their distribution over the layer's thickness. A set of new special features of mechanical behavior of ferrite solids subjected to external electromagnetic field are established, namely those related to resonance phenomena.