Effect of viscoelasticity on inversion in axial deformation and on the volume of pressurized thin-walled tubes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F22%3A00359195" target="_blank" >RIV/68407700:21220/22:00359195 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.euromechsol.2022.104763" target="_blank" >https://doi.org/10.1016/j.euromechsol.2022.104763</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2022.104763" target="_blank" >10.1016/j.euromechsol.2022.104763</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Effect of viscoelasticity on inversion in axial deformation and on the volume of pressurized thin-walled tubes

Popis výsledku v původním jazyce

Axial prestretching can significantly affect the mechanical response of an inflated tube. This phenomenon is known, for example in the biomechanics of the cardiovascular system, where arteries, if excised from a body, manifest non-negligible shortening. Previous studies have shown that axially prestretched tubes are more easily distensible by internal pressure than their non-prestretched counterparts. It has even been found that, in the case of the material described by the Gent strain energy density function, the volume attained by a tube at a given internal pressure can be maximized by the initial elongation of the tube to the prestretch point referred to as inversion axial prestretching. However, to the best of our knowledge, all studies dealing so far with the effect of axial prestretching on the mechanical response of a pressurized tube have assumed elastic behavior. Nevertheless, soft tissues as well as elastomer materials are always more or less viscoelastic. The present study shifts our attention from purely theoretical elastic models to a more realistic assumption of viscoelastic behavior, which is modeled by means of the Quasilinear Theory of Viscoelasticity (QLV). The adopted model assumes the elastic part of the material response to be given by the Gent model. Results suggest that the viscoelastic tube loses the property of inversion in axial deformation but can still preserve the potential to optimize the inflation volume by means of axial prestretching. This result can be helpful in designing elastomer pipelines and pumps, as well as contributing to the understanding of the principals of blood circulation physiology.

Název v anglickém jazyce

Effect of viscoelasticity on inversion in axial deformation and on the volume of pressurized thin-walled tubes

Popis výsledku anglicky

Axial prestretching can significantly affect the mechanical response of an inflated tube. This phenomenon is known, for example in the biomechanics of the cardiovascular system, where arteries, if excised from a body, manifest non-negligible shortening. Previous studies have shown that axially prestretched tubes are more easily distensible by internal pressure than their non-prestretched counterparts. It has even been found that, in the case of the material described by the Gent strain energy density function, the volume attained by a tube at a given internal pressure can be maximized by the initial elongation of the tube to the prestretch point referred to as inversion axial prestretching. However, to the best of our knowledge, all studies dealing so far with the effect of axial prestretching on the mechanical response of a pressurized tube have assumed elastic behavior. Nevertheless, soft tissues as well as elastomer materials are always more or less viscoelastic. The present study shifts our attention from purely theoretical elastic models to a more realistic assumption of viscoelastic behavior, which is modeled by means of the Quasilinear Theory of Viscoelasticity (QLV). The adopted model assumes the elastic part of the material response to be given by the Gent model. Results suggest that the viscoelastic tube loses the property of inversion in axial deformation but can still preserve the potential to optimize the inflation volume by means of axial prestretching. This result can be helpful in designing elastomer pipelines and pumps, as well as contributing to the understanding of the principals of blood circulation physiology.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA18-26041S" target="_blank" >GA18-26041S: Vliv podélného předepnutí na mechanickou odezvu nelineárních elastických a viskoelastických trubic</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

European Journal of Mechanics - A/Solids

ISSN

0997-7538

e-ISSN

1873-7285

Svazek periodika

96

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

—

Kód UT WoS článku

000863058800004

EID výsledku v databázi Scopus

2-s2.0-85135706600