Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00600213" target="_blank" >RIV/61388998:_____/24:00600213 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/24:10490367

Výsledek na webu

<a href="https://www.worldscientific.com/doi/10.1142/S0218202524500015" target="_blank" >https://www.worldscientific.com/doi/10.1142/S0218202524500015</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218202524500015" target="_blank" >10.1142/S0218202524500015</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets

Popis výsledku v původním jazyce

The thermodynamic model of viscoelastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates. The Landau theory applied to a ferro-to-paramagnetic phase transition, the gradient theory (due to an exchange energy) for magnetization with general mechanically dependent coefficient, hysteresis in magnetization evolution by the Gilbert equation involving an objective corotational time derivative of magnetization, and the demagnetizing field are considered in the model. The Kelvin–Voigt viscoelastic rheology with a higher-order viscosity (exploiting the concept of multipolar materials) is used, allowing for physically relevant frame-indifferent stored energies and for local invertibility of deformation. The model complies with energy conservation and Clausius–Duhem entropy inequality. An existence and a certain regularity of weak solutions are proved by a Faedo–Galerkin semi-discretization and a suitable regularization.

Název v anglickém jazyce

Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets

Popis výsledku anglicky

The thermodynamic model of viscoelastic deformable magnetic materials at finite strains is formulated in a fully Eulerian way in rates. The Landau theory applied to a ferro-to-paramagnetic phase transition, the gradient theory (due to an exchange energy) for magnetization with general mechanically dependent coefficient, hysteresis in magnetization evolution by the Gilbert equation involving an objective corotational time derivative of magnetization, and the demagnetizing field are considered in the model. The Kelvin–Voigt viscoelastic rheology with a higher-order viscosity (exploiting the concept of multipolar materials) is used, allowing for physically relevant frame-indifferent stored energies and for local invertibility of deformation. The model complies with energy conservation and Clausius–Duhem entropy inequality. An existence and a certain regularity of weak solutions are proved by a Faedo–Galerkin semi-discretization and a suitable regularization.

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

2024

Kód důvěrnosti údajů

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

Název periodika

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

1793-6314

Svazek periodika

34

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

61

Strana od-do

181-241

Kód UT WoS článku

001161861800004

EID výsledku v databázi Scopus

2-s2.0-85185398095