Thermoelastic State of a Ferritic Layer in a Quasistationary Electromagnetic Field
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THERMOELASTIC STATE OF A FERRITIC LAYER IN A QUASISTATIONARY ELECTROMAGNETIC FIELD O. R. Hachkevych 1 and R. O. Ivas’ko 2
UDC 539.3
The electromagnetic, temperature, and mechanical fields formed in an elastic ferritic layer under the action of an electromagnetic field induced by a quasistationary current flowing in a plane parallel to the base of the layer are determined and studied. We establish the regularities of the distributions of intensities of the fields, heat release, ponderomotive forces, temperature, and stresses (in particular, in the vicinity of resonance frequencies) in a layer of magnetically soft Ni– Zn material depending on its thickness and the parameters of external action. The accumulated results can be used for the creation and development of the modes of operation of ferritic elements in electric and electronic devices.
Electromagnetic fields (EMF) practically always induce strains and stresses in the products, which may strongly affect the technological processes of manufacturing and operating conditions [1, 2]. This is why it is necessary to know the parameters of physicomechanical processes caused by the electromagnetic loads in ferritic elements of various engineering devices. The monograph [3] is devoted to the investigation of the thermal stressed state of nonferromagnetic and ferromagnetic bodies with different conductivities in external quasistationary EMF. The data on the interaction of EMF with ferritic media available from the literature mainly deal with the optimization of the operating conditions of ferritic products and prediction of the basic characteristics of electric and electronic devices with ferritic elements for the purposes of design. They are aimed at the minimization of hysteresis losses in the materials [4]. We also mention the investigations dealing with the preparation of composites by the induction method with the help of glue mixtures with ferritic fillers [5]. However, these investigations are focused solely on the mechanisms of heating of ferritic materials in the presence of EMF (it is assumed that the main mechanism is connected with the hysteresis losses in the cycles of remagnetization) and the analysis of experimentally established dependences of the temperature of specimens on the time of heating (for various values of the magnetic-field intensity) as well as the dependences of the heating rate on the temperature of the specimen, magnetic-field intensity, and frequency of the EMF. The correlations between the mechanical, thermal, and electromagnetic processes in ferritic bodies under the action of EMF are poorly studied in the literature. In what follows, we study the electromagnetic, temperature, and mechanical fields induced in a ferritic layer under the action of EMF formed by quasistationary currents flowing in a plane parallel to the base of the layer. Statement, Mathematical Formulation, and Computational Scheme of the Problem Consider an infinite elastic ferritic layer of thickness h (Fig. 1) subjected to the action of EMF formed by a given (in t
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