Domain Theory of Ferromagnetics Under Stress: Part I

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Abstract
The statistical domain theory of ferromagnetism, introduced by Heisenberg and extended by others, is developed in a general form capable of application to any ferromagnetic, crystalline or polycrystalline. Formulas are derived by which the magnetization and strain components can be computed to the first order in the stresses, provided the magnetization curve at zero stress is known. The analysis is valid at any magnetization below that at which the rotation process begins, and the six stress components may have arbitrary values. The formulas are then specialized to nickel crystals; the results reduce to those of Gans and v. Harlem, and of Akulov and Kondorsky, for the special cases treated by them, except for one formula of the former authors and one of the latter. In these cases the original formula is shown to be in error, and the corrected formula leads to better agreement with experiment.