A variational approach to the modeling of compressible magnetoelastic materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00635638" target="_blank" >RIV/67985840:_____/25:00635638 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/25:10511043

Výsledek na webu

<a href="https://doi.org/10.1016/j.jmps.2025.106169" target="_blank" >https://doi.org/10.1016/j.jmps.2025.106169</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmps.2025.106169" target="_blank" >10.1016/j.jmps.2025.106169</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A variational approach to the modeling of compressible magnetoelastic materials

Popis výsledku v původním jazyce

We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow equation for the magnetization in the quasi-static setting. The viscous dissipation considered in this model induces an extended material derivative in the magnetic force balance. We prove existence of weak solutions based on De Giorgi's minimizing movements scheme, which allows us to deal with the non-convex energy as well as the non-convex state space for the deformation. In the application of this method we rely on the fact that the magnetic force balance in the model can be expressed in terms of the same energy and dissipation potentials as the equation of motion, allowing us to model the functional for the discrete minimization problem based on these potentials.

Název v anglickém jazyce

A variational approach to the modeling of compressible magnetoelastic materials

Popis výsledku anglicky

We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow equation for the magnetization in the quasi-static setting. The viscous dissipation considered in this model induces an extended material derivative in the magnetic force balance. We prove existence of weak solutions based on De Giorgi's minimizing movements scheme, which allows us to deal with the non-convex energy as well as the non-convex state space for the deformation. In the application of this method we rely on the fact that the magnetic force balance in the model can be expressed in terms of the same energy and dissipation potentials as the equation of motion, allowing us to model the functional for the discrete minimization problem based on these potentials.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GC22-08633J" target="_blank" >GC22-08633J: Kvalitativní teorie MHD a příbuzných rovnic</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Journal of the Mechanics and Physics of Solids

ISSN

0022-5096

e-ISSN

1873-4782

Svazek periodika

201

Číslo periodika v rámci svazku

August

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

106169

Kód UT WoS článku

001497508100001

EID výsledku v databázi Scopus

2-s2.0-105005063046