Publication detail

Comparison of constitutive models of arterial layers with distributed collagen fibre orientations

SKÁCEL, P. BURŠA, J.

Original Title

Comparison of constitutive models of arterial layers with distributed collagen fibre orientations

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.

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

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

Pages from

47

Pages to

58

Pages count

12

URL

Documents

BibTex


@article{BUT111388,
  author="Pavel {Skácel} and Jiří {Burša}",
  title="Comparison of constitutive models of arterial layers with distributed collagen fibre orientations",
  annote="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.",
  address="Wroclaw univ technology",
  chapter="111388",
  doi="10.5277/abb140306",
  institution="Wroclaw univ technology",
  number="03",
  volume="2014",
  year="2014",
  month="september",
  pages="47--58",
  publisher="Wroclaw univ technology",
  type="journal article in Web of Science"
}