Publication detail
Comparison of constitutive models of arterial layers with distributed collagen fibre orientations
SKÁCEL, P. BURŠA, J.
Czech title
Porovnání konstitutivních modelů pro arteriální vrstvy s rozptylem v orientaci vláken
English title
Comparison of constitutive models of arterial layers with distributed collagen fibre orientations
Type
journal article in Web of Science
Language
en
Original abstract
Several constitutive models have been proposed for description of mechanical behaviour of soft tissues containing collagen fibres. The model with aligned fibres is modified in this paper to take the dispersion of fibre orientations into account through angular integration and it is compared with the model that is defined through generalized structure tensor. The paper is focused on the effect of fibre dispersion on the resulting stress-strain behaviour predicted by both models analyzed. Analytical calculations are used for the comparison of the mechanical behaviour under a specific biaxial tension mode. The two models have been implemented into commercial finite element code ANSYS via user subroutines and used for numerical simulation resulting in a non-homogeneous stress field. The effects of the fibre dispersion predicted by both models compared differ significantly, e.g., the resulting stress difference between both models is lower than 10% only in the case of extremely small dispersion of collagen fibres orientation. These results are consistent with those of other related literature. The applicability of the model defined through the generalized structure tensor is discussed.
Czech abstract
Článek se zabývá porovnáním několika konstitutivních modelů pro měkké tkáně s kolagenními vlákny. Ukazuje vliv velikosti rozptylu směrů vláken na výsledky jednotlivých modelů.
English abstract
Several constitutive models have been proposed for description of mechanical behaviour of soft tissues containing collagen fibres. The model with aligned fibres is modified in this paper to take the dispersion of fibre orientations into account through angular integration and it is compared with the model that is defined through generalized structure tensor. The paper is focused on the effect of fibre dispersion on the resulting stress-strain behaviour predicted by both models analyzed. Analytical calculations are used for the comparison of the mechanical behaviour under a specific biaxial tension mode. The two models have been implemented into commercial finite element code ANSYS via user subroutines and used for numerical simulation resulting in a non-homogeneous stress field. The effects of the fibre dispersion predicted by both models compared differ significantly, e.g., the resulting stress difference between both models is lower than 10% only in the case of extremely small dispersion of collagen fibres orientation. These results are consistent with those of other related literature. The applicability of the model defined through the generalized structure tensor is discussed.
Keywords in Czech
mechanika arteriálních stěn; orientace kolageních vláken; konstitutivní modelování; software HYPERFIT; distribuce orientace kolageních vláken
Keywords in English
arterial wall mechanics, collagen fibre orientation, constitutive modelling, fibre distribution, hyperfit software
RIV year
2014
Released
22.09.2014
Publisher
Wroclaw univ technology
Location
Wroclav, Poland
ISSN
1509-409X
Volume
2014
Number
03
Pages from–to
47–58
Pages count
12
BIBTEX
@article{BUT111388,
author="Pavel {Skácel} and Jiří {Burša},
title="Comparison of constitutive models of arterial layers with distributed collagen fibre orientations",
year="2014",
volume="2014",
number="03",
month="September",
pages="47--58",
publisher="Wroclaw univ technology",
address="Wroclav, Poland",
issn="1509-409X"
}