A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489958" target="_blank" >RIV/67985840:_____/18:00489958 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1177/1081286517696536" target="_blank" >http://dx.doi.org/10.1177/1081286517696536</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286517696536" target="_blank" >10.1177/1081286517696536</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems

Popis výsledku v původním jazyce

Electro- or magneto-sensitive elastomers are smart materials whose mechanical properties change instantly by the application of an electric or magnetic field. This paper analyses the convexity conditions (quasiconvexity, polyconvexity, ellipticity) of the free energy of such materials. These conditions are treated within the framework of the general A-quasiconvexity theory for the constraints curlF=0,divd=0,divb=0, curlF=0,divd=0,divb=0, where F is the deformation gradient, d is the electric displacement and b is the magnetic induction. If the energy depends separately only on F, or on d, or on b, the A-quasiconvexity reduces, respectively, to Morrey’s quasiconvexity, polyconvexity and ellipticity conditions or to convexity in d or in b. In the present case, the simultaneous occurrence of F, d and b leads to the cross-phenomena: mechanic–electric, mechanic–magnetic and electro–magnetic.

Název v anglickém jazyce

A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems

Popis výsledku anglicky

Electro- or magneto-sensitive elastomers are smart materials whose mechanical properties change instantly by the application of an electric or magnetic field. This paper analyses the convexity conditions (quasiconvexity, polyconvexity, ellipticity) of the free energy of such materials. These conditions are treated within the framework of the general A-quasiconvexity theory for the constraints curlF=0,divd=0,divb=0, curlF=0,divd=0,divb=0, where F is the deformation gradient, d is the electric displacement and b is the magnetic induction. If the energy depends separately only on F, or on d, or on b, the A-quasiconvexity reduces, respectively, to Morrey’s quasiconvexity, polyconvexity and ellipticity conditions or to convexity in d or in b. In the present case, the simultaneous occurrence of F, d and b leads to the cross-phenomena: mechanic–electric, mechanic–magnetic and electro–magnetic.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

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 Mechanics of Solids

ISSN

1081-2865

e-ISSN

—

Svazek periodika

23

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

22

Strana od-do

907-928

Kód UT WoS článku

000433916000004

EID výsledku v databázi Scopus

2-s2.0-85040353919