Applications of a theory of ferromagnetic hysteresis

Journal Article · Fri Jan 01 04:00:00 EST 1988 · IEEE Trans. Magn.; (United States)

DOI:https://doi.org/10.1109/20.43893· OSTI ID:6572313

Hodgdon, M L

The differential equation B = ..cap alpha../vertical/ bar H /vertical bar/(f(H) - B) + Hg(H) and a set of restrictions on the material functions f and g yield a theory of rate independent hyseresis for isoperm ferromagnetic materials. A modification based on exchanging the positions of B and H in the differential equation and on allowing for the dependence of the material functions on H extends the theory to rate dependent, nonisoperm materials. The theory and its extension exhibit all of the important features of ferromagnetic hysteresis, including the existence and stability of minor loops. Both are well suited for use in numerical field solving codes. Examples in which the material functions are simple combinations of analytic functions are presented here for MnZn ferrite, NiZn ferrite, NiFe tape, and CoCr thin film. Also presented is a procedure for constructing a two dimensional vector model that yields bell-shaped and M-shaped curves for graphs of the angular variation of the coercive field.

• Research Organization: Los Alamos National Lab., Los Alamos, NM (US)
• OSTI ID: 6572313
• Journal Information: IEEE Trans. Magn.; (United States), Journal Name: IEEE Trans. Magn.; (United States) Vol. 24:1; ISSN IEMGA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360603 -- Materials-- Properties
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALLOYS
ANALYTIC FUNCTIONS
CHROMIUM ALLOYS
COBALT ALLOYS
COERCIVE FORCE
DATA
DIFFERENTIAL EQUATIONS
ELEMENTS
EQUATIONS
FERRIMAGNETIC MATERIALS
FERRITES
FERROMAGNETIC MATERIALS
FILMS
FUNCTIONS
HYSTERESIS
INFORMATION
IRON COMPOUNDS
MAGNETIC MATERIALS
MANGANESE
MATERIALS
MATERIALS TESTING
METALS
NICKEL ALLOYS
NUMERICAL DATA
OXYGEN COMPOUNDS
TESTING
THEORETICAL DATA
THIN FILMS
TRANSITION ELEMENT COMPOUNDS
TRANSITION ELEMENTS
TWO-DIMENSIONAL CALCULATIONS
ZINC ALLOYS