Thermomechanical behavior of a layer under the influence of a harmonic electromagnetic field

Gachkevich, A. R.; Solodyak, M. T.

doi:10.1007/bf00887153

Cited by 4 publications

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“…Substituting expansions (16)-(18) in the system of equations of magnetostatics (8) and equating the coefficients of the identical powers of the parameter ε * , we obtain the chain of linearized equations for the components of the vectors H and B in the corresponding approximations, which repeats the system of equations (8) to within the notation.…”

Section: Small Gyromagnetic Vibrationsmentioning

confidence: 99%

“…In view of the mechanical type of motion, the relationship between the symmetric stress tensor σ σ and the asymmetric stress tensor t caused by the action of a moment N is given by the formula [5][6][7][8] t =σ −π , π ≡ −ε : N / 2 . …”

Section: Statement Of the Problemmentioning

confidence: 99%

“…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.…”

mentioning

confidence: 99%

“…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][6][7][8][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.…”

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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: Small Gyromagnetic Vibrationsmentioning

confidence: 99%

Section: Statement Of the Problemmentioning

confidence: 99%

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confidence: 99%

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

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“…Here a new analytic expression was proposed for the hysteresis relations between the magnetic induction and intensity vectors in the quasisteady approximation [10,17], relations that are characteristic of the widely used ferromagnetic elements of electrotechnical devices. This relation makes it possible to account for the specifics in the magnetization for both types of ferromagnetic bodies, magnetically soft and magnetically hard [10,18,46].…”

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confidence: 99%

Mathematical models of thermomechanics of magnetizable and polarizable electrically conducting bodies subject to quasisteady electromagnetic radiation

Hachkevych¹

1999

J Math Sci

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We give a brief survey of recent research on the problems of mathematical modeling of the thermomechanical behavior of deformable bodies with different electrical conductivity, magnetizability, and polarizability subject to a quasisteady electromagnetic field in the radio and infrared frequency ranges.The joint study of mechanical, thermal, and electromagnetic processes in electrically conducting bodies has attracted the attention of researchers because of the wide practical application of electromagnetic fields over the past few decades in the manufacture and processing of structural elements and devices made of traditional and new electromagnetic materials [54,55]. To construct rational regimes for such processes or use of equipment that functions subject to electromagnetic loads, it is necessary to create a method of mathematical modeling and effective methods of determining the thermostressed state of bodies of arbitrarily electrical conductivity that are magnetizable and polarizable and subject to external electromagnetic fields, in particular the quasistatic fields [36,40] that are widely applied in engineering practice.The system of initial equations of the physico-mathematical model for determining the thermostressed state of electrically conducting bodies subject to an electromagnetic field taking account of the interaction of mechanical, thermal, and electromagnetic processes includes the equations of electrodynamics and thermomechanics with heat sources and bulk force factors (ponderomotor forces and moments) caused by the electromagnetic field. Such a system is coupled and nonlinear, when account is taken of the generalized Ohm's law, the relations between the inductions and intensities of the electric and magnetic fields for arbitrarily moving conducting media that can be magnetized and polarized [36,42], the expressions for the force factors and heat emission [34,42], the coupling of the strain and temperature fields [33], and the temperature dependence of the characteristics of the material [10,33].Since rigid bodies may differ significantly in electrophysical properties and the general theory of interaction of an electromagnetic field with a material continuum mentioned above is rather complicated, it is vital to construct specially designed variants of the theory of interaction for smaller classes of materials by taking account of the specifics of their characteristic properties in processes involving electrical conduction, magnetization and polarization as functions of the amplitude-frequency characteristics of the electromagnetic field [ 10,34].In a number of studies in determining the thermostressed state of electrically conducting nonferromagnetic unpolarized bodies in a quasistatic and nonstationary (in particular, pulsing) electromagnetic field, the effect of this field on the processes of heat conduction and strain is taken into account through the Joule heat emission and the ponderomotor forces, while the effect of motion of the medium on the current is assumed unimportant [40,55].In this...

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Modeling of Electromagnetic, Thermal, and Mechanical Processes in Magnetic Media with Regard for the Moment Factors

2021

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Thermomechanical behavior of a layer under the influence of a harmonic electromagnetic field

Cited by 4 publications

References 1 publication

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

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

Mathematical models of thermomechanics of magnetizable and polarizable electrically conducting bodies subject to quasisteady electromagnetic radiation

Modeling of Electromagnetic, Thermal, and Mechanical Processes in Magnetic Media with Regard for the Moment Factors

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