Isotropic polyconvex electromagnetoelastic bodies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00503789" target="_blank" >RIV/67985840:_____/19:00503789 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1177/1081286518754567" target="_blank" >http://dx.doi.org/10.1177/1081286518754567</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/1081286518754567" target="_blank" >10.1177/1081286518754567</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Isotropic polyconvex electromagnetoelastic bodies

Popis výsledku v původním jazyce

The recent renewal of interest in nonlinear electromagnetoelastic interactions comes from the technological importance of electro- or magnetosensitive elastomers, smart materials whose mechanical properties change instantly on the application of an electric or magnetic field. We consider materials with free energy functions of the form ..., where F is the deformation gradient, d is the electric displacement, and b is the magnetic induction. It was recently shown by the author that such an energy function is polyconvex if and only if it is of the form ... where ... is a convex function (of 31 scalar variables). Moreover, an existence theorem was proved for the equilibrium solution for a system consisting of a polyconvex electromagnetoelastic solid plus the vacuum electromagnetic field outside the body. The condition (8), is not just the combination of Ball’s polyconvexity of elastomers ... with the convexity in the electromagnetic variables.

Název v anglickém jazyce

Isotropic polyconvex electromagnetoelastic bodies

Popis výsledku anglicky

The recent renewal of interest in nonlinear electromagnetoelastic interactions comes from the technological importance of electro- or magnetosensitive elastomers, smart materials whose mechanical properties change instantly on the application of an electric or magnetic field. We consider materials with free energy functions of the form ..., where F is the deformation gradient, d is the electric displacement, and b is the magnetic induction. It was recently shown by the author that such an energy function is polyconvex if and only if it is of the form ... where ... is a convex function (of 31 scalar variables). Moreover, an existence theorem was proved for the equilibrium solution for a system consisting of a polyconvex electromagnetoelastic solid plus the vacuum electromagnetic field outside the body. The condition (8), is not just the combination of Ball’s polyconvexity of elastomers ... with the convexity in the electromagnetic variables.

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

2019

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

24

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

10

Strana od-do

738-747

Kód UT WoS článku

000463620600013

EID výsledku v databázi Scopus

2-s2.0-85044723387