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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
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" }