Abstract
It has been known for about a century that a ferromagnetic rod, if subjected to a magnetizing field, changes its length as well as its magnetization; and if subjected to tension, changes its magnetization as well as its length. In other words, there is interaction between magnetic and elastic processes. Other and more complicated forms of the interaction are also well known. The general term for this class of phenomena is magneto elastic interaction or, more briefly, magnetostriction.
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Springer Tracts, Vol. 9, Brown
This is my own inference about where Toupin found the formula. He himself introduced it with the remark, “It is known from Maxwell’s work that...”; his only reference was the two volumes of Maxwell [2].
The term “work by the battery” is short for “work by the electromotive force of the battery”; cf. the discussion of work in § 4.1.
Certain line discontinuities (Brown [11], p. 97, footnote; Feldtkeller [1]) avoid both poles and infinite exchange energy, but their physical significance is questionable; at this point, physical realism requires that one abandon phenom-enological theory and deal directly with such atomic concepts as an isolated line of reversed spins. The same is true of certain point singularities (Feldtkeller [1]).
This equation requires additional terms if surface anisotropy is present (Brown [11], Chaps. 3 – 4).
This enables us to evade the problem of calculating the rate of work by body couples. In the magnetic case that will later be our primary object of interest, the couples are of magnetic origin, and the method of calculation is such that explicit consideration of the couples is not necessary (§ 6.1).
To a physicist, it would seem more natural to impose this condition before carrying out the differentiation that led to Eq. (3.39). The reversing of the natural order, however, simplifies the mathematics, especially in the later treatment of magnetizable materials. Cf. Truesdell ([2], pp. 174–175); Toupin ([2], p. 884).
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© 1966 Springer-Verlag Berlin Heidelberg
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Brown, W.F. (1966). Fundamental Concepts and Definitions. In: Magnetoelastic Interactions. Springer Tracts in Natural Philosophy, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87396-6_1
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DOI: https://doi.org/10.1007/978-3-642-87396-6_1
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