Computational modeling of magnetic hysteresis with thermal effects

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F18%3A43897835" target="_blank" >RIV/60076658:12310/18:43897835 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/67985556:_____/18:00474872

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0378475417300800?token=ADE0AAFA30F6531A2FFFF817937783EDA85CC275BA3658E7211B20423706162C8B1E4D3C63FE99C192F98BA0DCE79B3C" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0378475417300800?token=ADE0AAFA30F6531A2FFFF817937783EDA85CC275BA3658E7211B20423706162C8B1E4D3C63FE99C192F98BA0DCE79B3C</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2017.03.004" target="_blank" >10.1016/j.matcom.2017.03.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Computational modeling of magnetic hysteresis with thermal effects

Popis výsledku v původním jazyce

We study computational behavior of a mesoscopic model describing temperature/external magnetic field-driven evolution of magnetization. Due to nonconvex anisotropy energy describing magnetic properties of a body, magnetization can develop fast spatial oscillations creating complicated microstructures. These microstructures are encoded in Young measures, their first moments then identify macroscopic magnetization. Our model assumes that changes of magnetization can contribute to dissipation and, consequently, to variations of the body temperature affecting 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. Computational results qualitatively agree with experimental observations. The own MATLAB code used in our simulations is available for download.

Název v anglickém jazyce

Computational modeling of magnetic hysteresis with thermal effects

Popis výsledku anglicky

We study computational behavior of a mesoscopic model describing temperature/external magnetic field-driven evolution of magnetization. Due to nonconvex anisotropy energy describing magnetic properties of a body, magnetization can develop fast spatial oscillations creating complicated microstructures. These microstructures are encoded in Young measures, their first moments then identify macroscopic magnetization. Our model assumes that changes of magnetization can contribute to dissipation and, consequently, to variations of the body temperature affecting 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. Computational results qualitatively agree with experimental observations. The own MATLAB code used in our simulations is available for download.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and Computers in Simulation

ISSN

0378-4754

e-ISSN

—

Svazek periodika

145

Číslo periodika v rámci svazku

MAR 2018

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

90-105

Kód UT WoS článku

000416128600008

EID výsledku v databázi Scopus

2-s2.0-85018863529