How does axial prestretching change the mechanical response of nonlinearly elastic incompressible thin-walled tubes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F16%3A00231010" target="_blank" >RIV/68407700:21220/16:00231010 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0020740315003033" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0020740315003033</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijmecsci.2015.08.014" target="_blank" >10.1016/j.ijmecsci.2015.08.014</a>

Jazyk výsledku

angličtina

Název v původním jazyce

How does axial prestretching change the mechanical response of nonlinearly elastic incompressible thin-walled tubes

Popis výsledku v původním jazyce

An analytical model of an incompressible thin-walled closed tube was used to simulate the mechanical response of an initially prestretched tube to internal pressure. Four different situations were considered: (I) a hyperelastic material with a large strain stiffening property, (II) a neo-Hookean material, (III) a neo-Hookean material with small strains but large displacements (second order linear elasticity), and (IV) a neo-Hookean material with small strains and small displacements (first order linear elasticity). The results have shown that the positive effect of axial prestretch is not a property exclusively related to anisotropy. It has been proved that nonlinear effects are crucial. Nonlinear constitutive models depending on more than one parameter can both enhance and suppress the circumferential distensibility of the tube due to prestretching. However, a one-parameter neo-Hookean model showed only increased circumferential distensibility. A reduction in second order linear elasticity led to mechanical responses that exhibited only a slight effect of being prestretched. Total linearization proved that axial prestretch has a positive effect only to the point where deformed configuration and reference configuration are distinguished.

Název v anglickém jazyce

How does axial prestretching change the mechanical response of nonlinearly elastic incompressible thin-walled tubes

Popis výsledku anglicky

An analytical model of an incompressible thin-walled closed tube was used to simulate the mechanical response of an initially prestretched tube to internal pressure. Four different situations were considered: (I) a hyperelastic material with a large strain stiffening property, (II) a neo-Hookean material, (III) a neo-Hookean material with small strains but large displacements (second order linear elasticity), and (IV) a neo-Hookean material with small strains and small displacements (first order linear elasticity). The results have shown that the positive effect of axial prestretch is not a property exclusively related to anisotropy. It has been proved that nonlinear effects are crucial. Nonlinear constitutive models depending on more than one parameter can both enhance and suppress the circumferential distensibility of the tube due to prestretching. However, a one-parameter neo-Hookean model showed only increased circumferential distensibility. A reduction in second order linear elasticity led to mechanical responses that exhibited only a slight effect of being prestretched. Total linearization proved that axial prestretch has a positive effect only to the point where deformed configuration and reference configuration are distinguished.

Druh

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

CEP obor

JR - Ostatní strojírenství

OECD FORD obor

—

Projekt

<a href="/cs/project/NT13302" target="_blank" >NT13302: Optimalizace fysikálních charakteristik cévních náhrad pro nízké průtoky</a><br>

Návaznosti

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

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

International Journal of Mechanical Sciences

ISSN

0020-7403

e-ISSN

—

Svazek periodika

106

Číslo periodika v rámci svazku

February

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

95-106

Kód UT WoS článku

000371842500008

EID výsledku v databázi Scopus

2-s2.0-84955571985