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Generalized form of anhysteretic magnetization function for Jiles–Atherton theory of hysteresis

Appl. Phys. Lett. 95, 172510 (2009); doi:10.1063/1.3249581

Published 29 October 2009

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A. Raghunathan, Y. Melikhov, J. E. Snyder, and D. C. Jiles
Wolfson Centre for Magnetics, Cardiff University, Cardiff CF24 3AA, United Kingdom
A generalized form of anhysteretic magnetization function to extend Jiles–Atherton theory to different forms of anisotropy has been derived. The general equation for the function has been compared with those of calculations made on the basis of known equations for specific cases: axially anisotropic (one-dimensional), planar anisotropic (two-dimensional), and isotropic (three-dimensional). The Jiles–Atherton model using the proposed functional form of generalized anhysteretic magnetization function for anisotropy dependence has been validated and the necessary equations derived. It has been shown in this work that this functional form of anhysteretic magnetization with necessary boundary conditions can be reduced to the familiar specific model equations in the particular cases. ©2009 American Institute of Physics
History: Received 8 April 2009; accepted 21 September 2009; published 29 October 2009
Permalink: http://link.aip.org/link/?APPLAB/95/172510/1
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KEYWORDS and PACS

Keywords
PACS
  • 75.60.Ej
    Magnetization curves, hysteresis, Barkhausen and related effects
  • 75.10.-b
    General theory and models of magnetic ordering
  • 75.30.Cr
    Saturation moments and magnetic susceptibilities in magnetically ordered materials
  • 75.30.Gw
    Magnetic anisotropy
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
0003-6951 (print)   1077-3118 (online)
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REFERENCES (11)
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  1. D. C. Jiles and D. L. Atherton, J. Magn. Magn. Mater. 61, 48 (1986).
  2. D. C. Jiles, Introduction to Magnetism and Magnetic Materials, 2nd ed. (Chapman and Hall, London, 1991).
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  7. Y. M. Shi, D. C. Jiles, and A. Ramesh, J. Magn. Magn. Mater. 187, 75 (1998).
  8. D. C. Jiles and J. B. Thoelke, J. Magn. Magn. Mater. 134, 143 (1994).
  9. G. Bertotti, Hysteresis in Magnetism (Academic, London, 1998).
  10. D. C. Jiles, S. J. Lee, J. Kenkel, and K. L. Metlov, Appl. Phys. Lett. 77, 1029 (2000).
  11. C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, London, 1978).

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