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On the electrodynamics of deformable media. Part II

Zur Elektrodynamik verformbarer Körper. Teil II

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Summary

Adopting the prerelativistic point of view, classical field equations and jump conditions are derived from balance laws in space-time by introduction of the Galileian group. Since the same interaction model between electromagnetic field and continuous matter is used as in the relativistic treatment of Part I, field equations are obtained which can be compared with their relativistic counterparts. A Lagrangean formulation and slow motion approximation is given.

Zusammenfassung

Nichtrelativistische Feldgleichungen und Sprungbedingungen werden aus Bilanzgleichungen in Raum-Zeit durch Einführung der Galileigruppe abgeleitet. Dabei wird dasselbe Wechselwirkungsmodell zwischen elektromagnetischem und mechanischem Kontinuum wie in Teil I verwendet, ein einfacher Vergleich mit den relativistischen Beziehungen ist daher möglich. Eine Lagrange-Darstellung sowie eine Näherung für kleine Geschwindigkeiten wird angegeben.

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References

  1. Pao, Y. H.: Electromagnetic Forces in Deformable Media. Mat. Sci. Centre Rep. No. 2508, 1975. Ithaka, N. Y.: Cornell University

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  2. Parkus, H.: Thermoelasticity, 2nd ed. Wien-New York: Springer. 1976.

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  3. Eringen, A. C., Suhubi, E. S.: Elastodynamics, Vol. 1. New York-London: Academic Press. 1974.

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  4. Toupin, R. A.: A Dynamical Theory of Elastic Dielectrics. Int. J. Engng. Sci.1, 101–126 (1963).

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Authors and Affiliations

  1. Institut für Elektrische Maschinen, Technische Universität Wien, Gußhausstraße 25, A-1040, Wien, Austria

    A. Prechtl

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  1. A. Prechtl
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Additional information

The paper contains part of the theses submitted to the Faculty of Mechanical Engineering of the Technical University of Vienna and performed under the guidance of Prof. Dr. H. Parkus, to whom the author is greatly indebted.

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Prechtl, A. On the electrodynamics of deformable media. Part II. Acta Mechanica 28, 273–294 (1977). https://doi.org/10.1007/BF01208803

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  • DOI: https://doi.org/10.1007/BF01208803

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