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 Na...

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Veröffentlicht in:Ukrainian mathematical journal 2022-03, Vol.73 (10), p.1522-1536
Hauptverfasser: Hachkevych, O. R., Kushnir, R. M., Terletskii, R. F.
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creator Hachkevych, O. R.
Kushnir, R. M.
Terletskii, R. F.
description 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.
doi_str_mv 10.1007/s11253-022-02011-7
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subjects Algebra
Analysis
Applications of Mathematics
Deformation
Electromagnetism
Formability
Frequencies
Geometry
Irradiation
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
Thermal stress
Thermodynamics
Thermomechanical properties
title Mathematical Problems of Thermomechanics for Deformable Bodies Subjected to Thermal Irradiation
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