We propose a method for the solution of connected two-dimensional and plane problems of electromagnetoelasticity for multiply connected domains. Basic relations of two-dimensional and plane problems are obtained. Generalized complex potentials of electromagnetoelasticity are introduced and investigated. Boundary conditions for their determination and, using them, expressions of main characteristics of the electromagnetoelastic state (stresses, displacements, electromagnetic field intensity vectors, induction vectors, potentials of the electric and magnetic fields) are obtained. We present a solution of the problem for a plate with an elliptic hole or a crack.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 51, No. 2, pp. 208–221, April–June, 2008.
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Kaloerov, S.A., Petrenko, A.V. Two-dimensional problem of electromagnetoelasticity for multiply connected media. J Math Sci 162, 254–273 (2009). https://doi.org/10.1007/s10958-009-9637-2
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DOI: https://doi.org/10.1007/s10958-009-9637-2