Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets
The result's identifiers
Result code in 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>
Alternative codes found
RIV/00216208:11320/24:10490367
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Landau theory for ferro-paramagnetic phase transition in finitely-strained viscoelastic magnets
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Models and Methods in Applied Sciences
ISSN
0218-2025
e-ISSN
1793-6314
Volume of the periodical
34
Issue of the periodical within the volume
2
Country of publishing house
SG - SINGAPORE
Number of pages
61
Pages from-to
181-241
UT code for WoS article
001161861800004
EID of the result in the Scopus database
2-s2.0-85185398095