Applications of a theory of ferromagnetic hysteresis
The differential equation dB/dt = ..cap alpha.. absolute value of dH/dt (f(H) - B) + dH/dt g(H) and a set of restrictions on the material functions f and g yield a theory of rate independent hysteresis 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 dH/dt 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 Mn-Zn ferrite, Permalloy, CMD5005, 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., NM (USA)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6170643
- Report Number(s):
- LA-UR-87-2722; CONF-870806-2; ON: DE87014725
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
36 MATERIALS SCIENCE
360603 -- Materials-- Properties
656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
EXPERIMENTAL DATA
FERROMAGNETIC MATERIALS
FILMS
HYSTERESIS
INFORMATION
MAGNETIC FIELDS
MAGNETIC MATERIALS
MATERIALS
NUMERICAL DATA
THIN FILMS
USES
360603 -- Materials-- Properties
656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
DATA
DIFFERENTIAL EQUATIONS
EQUATIONS
EXPERIMENTAL DATA
FERROMAGNETIC MATERIALS
FILMS
HYSTERESIS
INFORMATION
MAGNETIC FIELDS
MAGNETIC MATERIALS
MATERIALS
NUMERICAL DATA
THIN FILMS
USES