Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies

Kód výsledku v IS VaVaI

RIV/00216208:11320/15:10314012 - isvavai.cz

Výsledek na webu

http://dx.doi.org/10.1007/s00526-015-0859-5

DOI - Digital Object Identifier

10.1007/s00526-015-0859-5

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies

Popis výsledku v původním jazyce

The main purpose of this study is to establish the existence of a weak solution to the anti-plane stress problem on V-notch domains for a class of recently proposed new models that could describe elastic materials in which the stress can increase unboundedly while the strain yet remains small. We shall also investigate the qualitative properties of the solution that is established. Although the equations governing the deformation that are being considered share certain similarities with the minimal surface problem, the boundary conditions and the presence of an additional model parameter that appears in the equation and its specific range makes the problem, as well as the result, different from those associated with the minimal surface problem.

Název v anglickém jazyce

Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies

Popis výsledku anglicky

The main purpose of this study is to establish the existence of a weak solution to the anti-plane stress problem on V-notch domains for a class of recently proposed new models that could describe elastic materials in which the stress can increase unboundedly while the strain yet remains small. We shall also investigate the qualitative properties of the solution that is established. Although the equations governing the deformation that are being considered share certain similarities with the minimal surface problem, the boundary conditions and the presence of an additional model parameter that appears in the equation and its specific range makes the problem, as well as the result, different from those associated with the minimal surface problem.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

LL1202: Materiály s implicitními konstitutivními vztahy: Od teorie přes redukci modelů k efektivním numerickým metodám

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Calculus of Variations and Partial Differential Equations

ISSN

0944-2669

e-ISSN

—

Svazek periodika

54

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

33

Strana od-do

2115-2147

Kód UT WoS článku

000361391500038

EID výsledku v databázi Scopus

2-s2.0-84941993813