The general form of the relaxation of a purely interfacial energy for structured deformations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476040" target="_blank" >RIV/67985840:_____/17:00476040 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.2140/memocs.2017.5.191" target="_blank" >http://dx.doi.org/10.2140/memocs.2017.5.191</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2140/memocs.2017.5.191" target="_blank" >10.2140/memocs.2017.5.191</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The general form of the relaxation of a purely interfacial energy for structured deformations

Popis výsledku v původním jazyce

This paper deals with the relaxation of energies of media with structured deformations introduced by Del Piero and Owen (1993, 1995). Structured deformations provide a multiscale geometry that captures the contributions at the macrolevel of both smooth and nonsmooth geometrical changes (disarrangements) at submacroscopic levels. The paper examines the special case of Choksi and Fonseca’s (1997) energetics of structured deformations in which the unrelaxed energy does not contain the bulk contribution. Thus, the energy is purely interfacial but of a general form. New formulas for the relaxed bulk and interfacial energies are proved. The bulk relaxed energy is shown to coincide with the subadditive envelope of the unrelaxed interfacial energy while the relaxed interfacial energy is the restriction of the envelope to rank-1 tensors.

Název v anglickém jazyce

The general form of the relaxation of a purely interfacial energy for structured deformations

Popis výsledku anglicky

This paper deals with the relaxation of energies of media with structured deformations introduced by Del Piero and Owen (1993, 1995). Structured deformations provide a multiscale geometry that captures the contributions at the macrolevel of both smooth and nonsmooth geometrical changes (disarrangements) at submacroscopic levels. The paper examines the special case of Choksi and Fonseca’s (1997) energetics of structured deformations in which the unrelaxed energy does not contain the bulk contribution. Thus, the energy is purely interfacial but of a general form. New formulas for the relaxed bulk and interfacial energies are proved. The bulk relaxed energy is shown to coincide with the subadditive envelope of the unrelaxed interfacial energy while the relaxed interfacial energy is the restriction of the envelope to rank-1 tensors.

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

2017

Kód důvěrnosti údajů

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

Název periodika

Mathematics and Mechanics of Complex Systems

ISSN

2326-7186

e-ISSN

—

Svazek periodika

5

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

25

Strana od-do

191-215

Kód UT WoS článku

000406718800004

EID výsledku v databázi Scopus

2-s2.0-85021877950