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Mathematical model of magnetothermoelasticity of ferromagnetic bodies

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Abstract

On the basis of the principal concepts of equilibrium thermodynamics we determine the physical characteristics of a material as functions of selected parameters of the state and deduce expressions for the thermodynamic potentials of thermoelastic bodies. We present phenomenological relations of electrodynamics for a broad class of ferromagnetic materials. By analyzing the law of conservation of the electromagnetic energy for the cases under consideration, we deduce relations for the density of energy of the electromagnetic field and the intensity of hysteresis heat release. We propose expressions for the components of the energy-momentum tensor and establish relations for the ponderomotive forces. On the basis of the principles of nonequilibrium thermodynamics and the concepts of continuum mechanics, we construct a mathematical model of magnetothermoelasticity of ferromagnetic bodies.

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Authors
  1. M. T. Solodyak
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Pidstryhach Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'viv. Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 36. No. 1, pp. 7–16, January–February, 2000.

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Solodyak, M.T. Mathematical model of magnetothermoelasticity of ferromagnetic bodies. Mater Sci 36, 1–13 (2000). https://doi.org/10.1007/BF02805110

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  • DOI: https://doi.org/10.1007/BF02805110

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