Talk
Tuesday, May 10th, 2011
- Speaker
- Aphrodite Ktena
- Affiliation
- TEI Chalkidas, Greece
- Title
- Preisach formalism and applications in magnetic materials
- Location
- Department of Physics Bldg., Voutes, 3rd floor Seminar Room
- Time
- 12:00
- Language
- English
- Abstract
-
The magnetization process is the result of complex interactions
between the applied magnetic field and localized atomic magnetic
moments as well as the long-range magnetostatic energy of the
material. The evidence of this process at the macroscopic level is the
hysteresis loop which is characteristic of a material under given
measurement conditions. Hysteresis is a highly nonlinear input-output
relationship where a given output corresponds to two inputs, depending
on whether the input is decreasing or increasing. In magnetic
hysteresis, input is the applied magnetic field, H, and output is the
magnetization, M, or the magnetic induction, B. Hysteresis can be a
blessing or a curse: highly desirable in storage and permanent magnet
applications; major source of uncertainty in sensing and
actuating. Several magnetization reversal mechanisms, eg domain wall
movement, pinning, domain rotation, have been proposed in order to
explain magnetic hysteresis, at the microscopic level. However,
hysteresis modeling remains still a challenging task. At the
macroscopic level, Preisach modeling is a popular approach because it
lends itself to fast and efficient algorithms usable as stand-alone
models or core models in self-consistent or FEM calculation.
Preisach formalism postulates that the magnetization, M, of a
material at a given field, H, is the aggregate response of hysteresis
operators γ(α,β) weighed by a probability density
function ρ(α,β) where α and β are the
operators’ upper and lower switching fields. Classical Preisach Model
is an inherently scalar model which can be modified to model vector
processes introducing a vector hysteresis operator, such as the
Stoner-Wolhfarth model of coherent rotation. The identification of the
model consists in determining ρ(α,β), characteristic
of a material, via minor or major loop measurements on a VSM or other
hysteresiograph. Usually, the major loop measurement, and the
material’s macroscopic parameters obtained from it, ie remanence,
Mr, saturation, Ms, coercivity Hc and
coercivity squareness, χ(Hc) =
dM/dH|Hc, suffices. Applications of the Preisach
model for the modeling of hysteresis in ferromagnets,
anti-ferromagnetically coupled thin films, and shape memory alloys
demonstrate the range of its applications and its ‘tuning-in’
capabilities. Correlating Preisach model parameters to microstructural
parameters of the material, such as grain size, dislocation density et
al, is expected to contribute to the design and development of novel
materials and techniques, such as non-destructive testing.