TY  - GEN 
T1  - Computational modeling of magnetic hysteresis with thermal effects
A1  - Kružík, Martin
A1  - Valdman, Jan
Y1  - 2016
KW  - dissipative processes
KW  - hysteresis
KW  - micromagnetics
KW  - numerical solution
KW  - Young measures
N2  - We study computational behavior of a mesoscopic model describing temperature/external magnetic
eld-driven evolution of magnetization. Due to nonconvex anisotropy energy describing magnetic proper-
ties of a body, magnetization can develop fast spatial oscillations creating complicated microstructures.
These microstructures are encoded in Young measures, their rst moments then identify macroscopic
magnetization. Our model assumes that changes of magnetization can contribute to dissipation and,
consequently, to variations of the body temperature aecting the length of magnetization vectors. In the
ferromagnetic state, minima of the anisotropic energy density depend on temperature and they tend to
zero as we approach the so-called Curie temperature. This brings the specimen to a paramagnetic state.
Such a thermo-magnetic model is fully discretized and tested on two-dimensional examples. Computa-
tional results qualitatively agree with experimental observations. The own MATLAB code used in our
simulations is available for download.
M1  - Preprint project = NCMM
M1  - Preprint year = 2016
M1  - Preprint number = 10
M1  - Preprint ID = NCMM/2016/10
ER  -