Modeling of the influence of electromagnetic fields on the thermomechanical behavior of deformable bodies

Hachkevych, Oleksandr; Solodyak, M. T.; Ivas'ko, R. O.; Boichuk, V. Ya.

doi:10.1007/s11003-009-9158-7

Cited by 4 publications

(3 citation statements)

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“…If the material is magnetized up to the saturation, then M = M s , where M s is the saturation induction. The energy and force factors of the action of magnetic fields are defined as follows [19]:…”

Section: Statement Of the Problemmentioning

confidence: 99%

“…In deducing Eqs. (19) and (20), we used relation (18). We now proceed to the solution of the electrodynamic equations (8), (19), and (20).…”

Section: Small Gyromagnetic Vibrationsmentioning

confidence: 99%

“…Similarly, we reduce relations (19), (21), and (22) to a system of two algebraic equations for the unknown functions m x and m y :…”

Section: Time Representations For the Solutionsmentioning

confidence: 99%

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Electrodynamic Relations, Energy and Force Factors of the Actions of Electromagnetic Fields for Magnetic Media

et al. 2015

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We study a ferrite layer subjected to the action of electromagnetic fields given by the normal constant and tangential harmonic components of the magnetic field. The conditions required for the formation of small gyromagnetic vibrations in the layer are analyzed. The expressions for the energy and force factors of the field action are obtained.Keywords: magnetic materials, electromagnetic fields, gyromagnetic vibrations, energy and force factors of the action of fields, asymmetric stress tensor.The phenomena of ferromagnetic resonance and propagation of the surface and bulk magnetostatic waves in ferritic elements ( λ ≈ 0, where λ is the conductivity coefficient) of electrotechnical devices are investigated fairly completely [1][2][3][4]. However, in the major part of these works, the attention is focused only on the conditions of their appearance, whereas the thermal and mechanical processes accompanying these phenomena remain, in fact, not investigated.It is known that, a part of the energy of electromagnetic fields under the conditions of ferromagnetic resonance (or the energy of magnetostatic waves) is partially absorbed by the material, which causes its heating [5-9]. The mechanical stresses induced by heating and force factors of the action of fields (ponderomotive forces [8][9][10][11][12][13] and the mechanical moment of forces [13][14][15][16][17]) can be significant and destabilize the operation of electrotechnical devices whose work is based on the properties of magnetic materials.In what follows, we use a statistical model of electromechanical interaction of the fields with ferromagnetic continua and deduce the formulas for the energy and force factors of the action of electromagnetic fields on ferritic bodies. These formulas can be used as basic in the study of the ferromagnetic resonance and the bulk and surface magnetostatic waves in the radioengineering systems with film magnetic materials. Statement of the ProblemIn order to determine magnetic fields in magnetic materials, we start from the equations of magnetostatics [1, 13, 18]:

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Section: Statement Of the Problemmentioning

confidence: 99%

“…In deducing Eqs. (19) and (20), we used relation (18). We now proceed to the solution of the electrodynamic equations (8), (19), and (20).…”

Section: Small Gyromagnetic Vibrationsmentioning

confidence: 99%