Mathematical Problems of Thermomechanics for Deformable Bodies Subjected to Thermal Irradiation

We propose a survey of the results of investigations in the field of mathematical problems of thermomechanics of magnetizable and polarizable conducting deformable bodies subjected to electromagnetic irradiation carried out at the Institute for Applied Problems in Mechanics and Mathematics of the National Academy of Sciences of Ukraine. We formulate the problems of mathematical physics that describe the thermal and thermal stress states in bodies of this kind by taking into account specific features of the electromagnetic action in different frequency bands. We also analyze the methods used to study the thermomechanical behavior of these bodies (in particular, of different transparencies: semitransparent or opaque) in the analyzed bands and under the conditions of thermal irradiation.