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

Type

journal article in Web of Science

Language

English

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.

Keywords

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

Authors

SKÁCEL, P.; BURŠA, J.

RIV year

2013

Released

29. 10. 2013

Publisher

Taylor & Francis Group

ISBN

1025-5842

Periodical

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

Year of study

2014

Number

01

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

13

Pages count

13

URL

http://www.tandfonline.com/doi/full/10.1080/10255842.2013.847928

BibTex

@article{BUT105498,
  author="Pavel {Skácel} and Jiří {Burša}",
  title="Numerical implementation of constitutive model for arterial layers with distributed collagen fibre orientations",
  journal="COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING",
  year="2013",
  volume="2014",
  number="01",
  pages="1--13",
  doi="10.1080/10255842.2013.847928",
  issn="1025-5842",
  url="http://www.tandfonline.com/doi/full/10.1080/10255842.2013.847928"
}