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Solution of plane dynamic boundary-value problems of electromagnetothermoelasticity for cylindrical bodies

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Abstract

We give the mathematical statement of a two-dimensional dynamic problem of electromagnetothermoelasticity for cylindrical bodies and deduce the primary equations of electrodynamics and thermoelasticity for the complex problem. The primary equations of the two-dimensional dynamic problem of thermoelasticity in stresses are reduced to a system of hierarchically connected wave equations. The boundary-value problems are formulated for a long hollow cylinder and a cylindrical beam whose cross section has the shape of a circular sector. These bodies are in the state of plane deformation and subjected to the action of a nonstationary electromagnetic field on their outer surfaces. We propose a method for the solution of these boundary-value problems.

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References

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Authors and Affiliations

  1. “L’vivs’kaPolitekhnika” University, L’viv

    R. S. Musii

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  1. R. S. Musii
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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 36. No. 3, pp. 35–41. May-June. 2000.

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Musii, R.S. Solution of plane dynamic boundary-value problems of electromagnetothermoelasticity for cylindrical bodies. Mater Sci 36, 351–359 (2000). https://doi.org/10.1007/BF02769596

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  • DOI: https://doi.org/10.1007/BF02769596

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