Inversion point and internal volume of pressurized nonlinearly elastic tube

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F20%3A00341793" target="_blank" >RIV/68407700:21220/20:00341793 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.ijnonlinmec.2020.103530" target="_blank" >https://doi.org/10.1016/j.ijnonlinmec.2020.103530</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijnonlinmec.2020.103530" target="_blank" >10.1016/j.ijnonlinmec.2020.103530</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Inversion point and internal volume of pressurized nonlinearly elastic tube

Popis výsledku v původním jazyce

The mechanical response of a hollow circular cylinder to internal pressure represents an important theoretical model which can be helpful in the design of tubular structures, and in the biomechanical research of tissues like arteries. It has been shown that arteries in vivo, in addition to pressure loading, sustain significant axial extension. It is manifested as a retraction that is observed when they are excised from a body. Previous research has shown that the axial prestretch ensures that the longitudinal motion of arteries is negligible under physiological conditions. The magnitude of the axial prestretch at which a tube does not change its length during pressurization, is referred to as the inversion point, because at this point mechanical response changes from pressure-induced elongation to pressure-induced shortening. In the present paper, another property observed when a nonlinear elastic tube is inflated at a constant axial load is studied. It is shown that at axial prestretching corresponding to the inversion point, when a tube exhibits no axial movement, the maximum internal volume of the pressurized tube is attained. This property is shown for thin-walled tubes made from material that is characterized with Mooney–Rivlin and Gent strain energy density function. Differences in the inflation–extension response obtained for Gent's material, and for the human abdominal aorta that is considered to be anisotropic and is described with exponential strain energy density, are studied in the paper. To the best of our knowledge, our study is the first showing that the maximum internal volume of the inflated tube is intimately linked with its axial prestretch.

Název v anglickém jazyce

Inversion point and internal volume of pressurized nonlinearly elastic tube

Popis výsledku anglicky

The mechanical response of a hollow circular cylinder to internal pressure represents an important theoretical model which can be helpful in the design of tubular structures, and in the biomechanical research of tissues like arteries. It has been shown that arteries in vivo, in addition to pressure loading, sustain significant axial extension. It is manifested as a retraction that is observed when they are excised from a body. Previous research has shown that the axial prestretch ensures that the longitudinal motion of arteries is negligible under physiological conditions. The magnitude of the axial prestretch at which a tube does not change its length during pressurization, is referred to as the inversion point, because at this point mechanical response changes from pressure-induced elongation to pressure-induced shortening. In the present paper, another property observed when a nonlinear elastic tube is inflated at a constant axial load is studied. It is shown that at axial prestretching corresponding to the inversion point, when a tube exhibits no axial movement, the maximum internal volume of the pressurized tube is attained. This property is shown for thin-walled tubes made from material that is characterized with Mooney–Rivlin and Gent strain energy density function. Differences in the inflation–extension response obtained for Gent's material, and for the human abdominal aorta that is considered to be anisotropic and is described with exponential strain energy density, are studied in the paper. To the best of our knowledge, our study is the first showing that the maximum internal volume of the inflated tube is intimately linked with its axial prestretch.

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

2020

Kód důvěrnosti údajů

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

Název periodika

International Journal of Non-Linear Mechanics

ISSN

0020-7462

e-ISSN

1878-5638

Svazek periodika

125

Číslo periodika v rámci svazku

103530

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

7

Strana od-do

—

Kód UT WoS článku

000560543700007

EID výsledku v databázi Scopus

2-s2.0-85086760007