The Cosserat continuum with electronic spin

J.B. Alblas

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The mathematical model of the Cosserat Continuum presents the opportunity to consider physical phenomena characterized by internal degrees of freedom. It is the purpose of this paper to apply this model to a series of problems related to the deformation of magnetic materials. The idea to investigate the deformation of a dielectric or magnetic material is not new. Toupin [1] has studied the coupling of an electric field with a deformation field, Tiersten [2] has extended Toupin’s calculations on magnetically saturated insulators, while Brown [3] has given a comprehensive exposition of magneto-elastic interactions1. The present paper may be considered a recapitulation of some known facts, together with extensions of the basic theory and applications to a number of important problems. It is based upon the modern general theory of the Cosserat Continuum, as given by Toupin [4] but adapted to this category of specific considerations.
Original languageEnglish
Title of host publicationMechanics of generalized continua (Proceedings of the IUTAM symposium on the generalized Cosserat continuum and the continuum theory of dislocations with applications, Freudenstadt, August 28-31, Stuttgart, September 1-2, 1967)
EditorsE. Kröner
Place of PublicationBerlin
Number of pages5
ISBN (Electronic)978-3-662-30257-6
ISBN (Print)978-3-662-30259-0
Publication statusPublished - 1968

Publication series

NameIUTAM Symposia

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