Publication detail

Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations

SKÁCEL, P. BURŠA, J.

Original Title

Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations

English Title

Numerical implementation of constitutive model for 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 the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.

English abstract

Several constitutive models have been proposed for the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.

Keywords

arterial wall mechanics; constitutive modelling; Hyperfit software; distribution of collagen fibre orientation; numerical integration on the sphere

RIV year

2013

Released

29.10.2013

Publisher

Taylor & Francis Group

Pages from

1

Pages to

13

Pages count

13

URL

Documents

BibTex


@article{BUT105498,
  author="Pavel {Skácel} and Jiří {Burša}",
  title="Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations",
  annote="Several constitutive models have been proposed for the description of mechanical behaviour of soft tissues containing collagen fibres. Some of the commonly used approaches accounting for the dispersion of fibre orientations are based on the summation of (mechanical) contributions of differently oriented fibre families. This leads to the need of numerical integration on the sphere surface, and the related numerical consumption is the main disadvantage of this category of constitutive models. The paper is focused on the comparison of various numerical integration methods applied to specific constitutive model applicable for arterial walls. Robustness and efficiency of several integration rules were tested with respect to application in finite element (FE) codes. Among all the analysed numerical integration rules, the best results were reached by Lebedev quadrature; the related parameters for the specific constitutive model are presented in the paper. The results were implemented into the commercial FE code ANSYS via user subroutines, and their applicability was demonstrated by an example of FE simulation with non-homogenous stress field.",
  address="Taylor & Francis Group",
  chapter="105498",
  doi="10.1080/10255842.2013.847928",
  howpublished="print",
  institution="Taylor & Francis Group",
  number="01",
  volume="2014",
  year="2013",
  month="october",
  pages="1--13",
  publisher="Taylor & Francis Group",
  type="journal article in Web of Science"
}