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On the electromagnetic field within a magnetoelastic plate. (English) Zbl 0781.73058

Summary: An improved approximate thickness distribution of the quasi-stationary electromagnetic field induced throughout a magnetoelastic thin plate of finite conductivity is established. Appropriate two-dimensional equations are derived. The resulting solution of the eigenfunction problem for the harmonic magnetic field superimposed on the uniform biased magnetostatic field is compared with the one traced back to the hypothesis of S. A. Ambartsumian, G. E. Baghdasarian and M. V. Belubekian [Prikl. Mat. Mekh. 35, 216-228 (1971)]. The accuracy of both solutions as compared with that obtained without any electromagnetic hypothesis is given.

MSC:

74F15 Electromagnetic effects in solid mechanics
74K20 Plates
Full Text: DOI

References:

[1] Ambartsumian, S. A.; Baghdasarian, G. E.; Belubekian, M. V., PMM, 35, 216-228 (1971), (in Russian) · Zbl 0237.73103
[2] Kaliski, S., (Proc. Vibr. Probl., 3 (1962)), 225-234
[3] Ambartsumian, S. A.; Baghdasarian, G. E.; Belubekian, M. V., Magnetoelasticity of Thin Shells and Plates (1977), Nauka: Nauka Moscow, (in Russian).
[4] Ambartsumian, S. A., Appl. Mech. Rev., 35, 1-5 (1982)
[5] Maugin, G. A., Continuum Mechanics of Electromagnetic Solids, (North Holland Series in Applied Mathematics and Mechanics 33 (1988), Elsevier: Elsevier Amsterdam) · Zbl 0808.35158
[6] Eringen, A. C., Int. J. Engng Sci., 27, 363-375 (1989) · Zbl 0688.73074
[7] Parkus, H., Application of electromagnetic interaction theory, (Parkus, H., Electromagnetic Interactions in Elastic Solids. Electromagnetic Interactions in Elastic Solids, CISM Courses and Lectures 257 (1979), Springer: Springer Berlin) · Zbl 0239.73068
[8] Rudnicki, M., Bull. Polon. Acad. Sci. Techn. Sci., 32, 407-417 (1984)
[9] Dunkin, W.; Eringen, A. C., Int. J. Engng Sci., 1, 461-495 (1963) · Zbl 0128.42704
[10] Baghdasarian, G. E.; Belubekian, M. V., Izv. AN Arm. SSR Mekhanika, 20, 21-27 (1967), (in Russian)
[11] Mkrtchian, P. A., Izv. AN Arm. SSR Mekhanika, 36, 39-49 (1983), (in Russian) · Zbl 0548.73089
[12] Ambartsumian, S. A., Theory of Anisotropic Plates (1967), Nauka: Nauka Moscow, (in Russian). · Zbl 0743.73019
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