Detail publikačního výsledku

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

SKÁCEL, P.; BURŠA, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

SKÁCEL, P.; BURŠA, J.

Rok RIV

2014

Vydáno

29.10.2013

Nakladatel

Taylor & Francis Group

ISSN

1025-5842

Periodikum

COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING

Svazek

2014

Číslo

01

Stát

Spojené království Velké Británie a Severního Irska

Strany od

1

Strany do

13

Strany počet

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"
}