Crack Occurrence in Bodies with Gradient Polyconvex Energies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00552275" target="_blank" >RIV/67985556:_____/22:00552275 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00332-021-09769-3" target="_blank" >https://link.springer.com/article/10.1007/s00332-021-09769-3</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00332-021-09769-3" target="_blank" >10.1007/s00332-021-09769-3</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Crack Occurrence in Bodies with Gradient Polyconvex Energies

Popis výsledku v původním jazyce

In a set of infinitely many reference configurations differing from a chosen fit region B in the three-dimensional space and from each other only by possible crack paths, a set parameterized by special measures, namely curvature varifolds, energy minimality selects among possible configurations of a continuous body those that are compatible with assigned boundary conditions of Dirichlet-type. The use of varifolds allows us to consider both “material phase” (cracked or non-cracked) and crack orientation. The energy considered is gradient polyconvex: it accounts for relative variations of second- neighbor surfaces and pressure-confinement effects. We prove existence of minimizers for such an energy. They are pairs of deformations and curvature varifolds. The former ones are taken to be SBV maps satisfying an impenetrability condition. Their jump set is constrained to be in the varifold support.

Název v anglickém jazyce

Crack Occurrence in Bodies with Gradient Polyconvex Energies

Popis výsledku anglicky

In a set of infinitely many reference configurations differing from a chosen fit region B in the three-dimensional space and from each other only by possible crack paths, a set parameterized by special measures, namely curvature varifolds, energy minimality selects among possible configurations of a continuous body those that are compatible with assigned boundary conditions of Dirichlet-type. The use of varifolds allows us to consider both “material phase” (cracked or non-cracked) and crack orientation. The energy considered is gradient polyconvex: it accounts for relative variations of second- neighbor surfaces and pressure-confinement effects. We prove existence of minimizers for such an energy. They are pairs of deformations and curvature varifolds. The former ones are taken to be SBV maps satisfying an impenetrability condition. Their jump set is constrained to be in the varifold support.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GF19-29646L" target="_blank" >GF19-29646L: Problémy velkých deformací v materiálových vědách</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Journal of Nonlinear Science

ISSN

0938-8974

e-ISSN

1432-1467

Svazek periodika

32

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

16

Kód UT WoS článku

000736720500001

EID výsledku v databázi Scopus

2-s2.0-85122069400