Inversion point and internal volume of pressurized nonlinearly elastic tube

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Inversion point and internal volume of pressurized nonlinearly elastic tube

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

<a href="/en/project/GA18-26041S" target="_blank" >GA18-26041S: Effect of axial prestretch on mechanical response of nonlinearly elastic and viscoelastic tubes</a><br>

Continuities

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

Publication year

2020

Confidentiality

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

Name of the periodical

International Journal of Non-Linear Mechanics

ISSN

0020-7462

e-ISSN

1878-5638

Volume of the periodical

125

Issue of the periodical within the volume

103530

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

7

Pages from-to

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UT code for WoS article

000560543700007

EID of the result in the Scopus database

2-s2.0-85086760007