Equilibrium of phases with interfacial energy : a variational approach

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00360209" target="_blank" >RIV/67985840:_____/11:00360209 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10659-011-9341-6" target="_blank" >http://dx.doi.org/10.1007/s10659-011-9341-6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10659-011-9341-6" target="_blank" >10.1007/s10659-011-9341-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Equilibrium of phases with interfacial energy : a variational approach

Popis výsledku v původním jazyce

The paper proves the existence of equilibrium two phase states with elastic solid bulk phases and deformation dependent interfacial energy. The states are pairs consisting of the deformation on the body and the region occupied by one of the phases in thereference configuration. The bulk energies of the two phases are polyconvex functions representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The constitutive theory and equilibrium theory of the interface are discussed in detail under appropriate smoothness hypotheses. Various forms of the interfacial stress relations for the standard and configurational (Eshelby) interfacial stresses are established. The equilibrium equations are derived by a variational argument emphasizing the roles of outer and inner variations.

Název v anglickém jazyce

Equilibrium of phases with interfacial energy : a variational approach

Popis výsledku anglicky

The paper proves the existence of equilibrium two phase states with elastic solid bulk phases and deformation dependent interfacial energy. The states are pairs consisting of the deformation on the body and the region occupied by one of the phases in thereference configuration. The bulk energies of the two phases are polyconvex functions representing two wells of the substance. The interfacial energy is interface polyconvex. The last notion is introduced and discussed, together with the interface quasiconvexity and interface null lagarangians. The constitutive theory and equilibrium theory of the interface are discussed in detail under appropriate smoothness hypotheses. Various forms of the interfacial stress relations for the standard and configurational (Eshelby) interfacial stresses are established. The equilibrium equations are derived by a variational argument emphasizing the roles of outer and inner variations.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

Journal of Elasticity

ISSN

0374-3535

e-ISSN

—

Svazek periodika

105

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

33

Strana od-do

271-303

Kód UT WoS článku

000291361900013

EID výsledku v databázi Scopus

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