Anti-plane stress state of a plate with a V-notch for a new class of elastic solids

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10140155" target="_blank" >RIV/00216208:11320/13:10140155 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10704-012-9772-5" target="_blank" >http://dx.doi.org/10.1007/s10704-012-9772-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10704-012-9772-5" target="_blank" >10.1007/s10704-012-9772-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Anti-plane stress state of a plate with a V-notch for a new class of elastic solids

Popis výsledku v původním jazyce

The main purpose of this study is to investigate the efficacy and usefulness of a class of recently proposed models that could be reasonable candidates for describing the response of brittle elastic materials. The class of models that are considered allows for a non-linear relationship between the linearized elastic strain and the Cauchy stress, and this allows one to describe situations wherein the stress increases while the strain yet remains small. Thus one would be in a position to model the response of brittle elastic bodies in the neighborhood of the tips of cracks and notches. In this paper we study the behavior of such models in a plate with a V-notch subject to a state of anti-plane stress. This geometrical simplification enables us to characterize the governing equation for the problem by means of the Airy stress function, though the constitutive relation is a non-linear relation between the linearized strain and the stress. We study the problem numerically by appealing to th

Název v anglickém jazyce

Anti-plane stress state of a plate with a V-notch for a new class of elastic solids

Popis výsledku anglicky

The main purpose of this study is to investigate the efficacy and usefulness of a class of recently proposed models that could be reasonable candidates for describing the response of brittle elastic materials. The class of models that are considered allows for a non-linear relationship between the linearized elastic strain and the Cauchy stress, and this allows one to describe situations wherein the stress increases while the strain yet remains small. Thus one would be in a position to model the response of brittle elastic bodies in the neighborhood of the tips of cracks and notches. In this paper we study the behavior of such models in a plate with a V-notch subject to a state of anti-plane stress. This geometrical simplification enables us to characterize the governing equation for the problem by means of the Airy stress function, though the constitutive relation is a non-linear relation between the linearized strain and the stress. We study the problem numerically by appealing to th

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Matematická a počítačová analýza evolučních procesů v nelineárních viskoelastických tekutinách</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

International Journal of Fracture

ISSN

0376-9429

e-ISSN

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Svazek periodika

179

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

15

Strana od-do

59-73

Kód UT WoS článku

000312407400005

EID výsledku v databázi Scopus

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